The FGMRES method, i.e. the flexible variant of the GMRES method which allows for nonconstant preconditioners [see Saad Y, "Iterative methods for sparse linear systems", p.287]. Note, FGMRES can only cater to right preconditioning; if the user tries to switch to left preconditioning they will be notified of this. More...
#include <complex_smoother.h>
Public Member Functions  
HelmholtzFGMRESMG ()  
Constructor (empty) More...  
virtual  ~HelmholtzFGMRESMG () 
Destructor (cleanup storage) More...  
HelmholtzFGMRESMG (const HelmholtzFGMRESMG &)  
Broken copy constructor. More...  
void  operator= (const HelmholtzFGMRESMG &) 
Broken assignment operator. More...  
void  set_preconditioner_LHS () 
Overloaded function to let the user know that left preconditioning is not possible with FGMRES, only right preconditioning. More...  
void  solve (Problem *const &problem_pt, DoubleVector &result) 
Solver: Takes pointer to problem and returns the results vector which contains the solution of the linear system defined by the problem's fully assembled Jacobian and residual vector. More...  
Public Member Functions inherited from oomph::HelmholtzGMRESMG< MATRIX >  
HelmholtzGMRESMG ()  
Constructor. More...  
virtual  ~HelmholtzGMRESMG () 
Destructor (cleanup storage) More...  
HelmholtzGMRESMG (const HelmholtzGMRESMG &)  
Broken copy constructor. More...  
void  operator= (const HelmholtzGMRESMG &) 
Broken assignment operator. More...  
void  disable_resolve () 
Overload disable resolve so that it cleans up memory too. More...  
void  preconditioner_solve (const DoubleVector &r, DoubleVector &z) 
Implementation of the pure virtual base class function. The function has been broken because this is meant to be used as a linear solver. More...  
void  setup () 
Implementation of the pure virtual base class function. This accompanies the preconditioner_solve function and so is also broken. More...  
void  solve (DoubleMatrixBase *const &matrix_pt, const DoubleVector &rhs, DoubleVector &solution) 
Linearalgebratype solver: Takes pointer to a matrix and rhs vector and returns the solution of the linear system. More...  
void  solve (DoubleMatrixBase *const &matrix_pt, const Vector< double > &rhs, Vector< double > &result) 
Linearalgebratype solver: Takes pointer to a matrix and rhs vector and returns the solution of the linear system Call the broken baseclass version. If you want this, please implement it. More...  
void  resolve (const DoubleVector &rhs, DoubleVector &result) 
Resolve the system defined by the last assembled Jacobian and the rhs vector specified here. Solution is returned in the vector result. More...  
unsigned  iterations () const 
Number of iterations taken. More...  
void  set_preconditioner_LHS () 
Set left preconditioning (the default) More...  
void  set_preconditioner_RHS () 
Enable right preconditioning. More...  
Public Member Functions inherited from oomph::IterativeLinearSolver  
IterativeLinearSolver ()  
Constructor: Set (default) trivial preconditioner and set defaults for tolerance and max. number of iterations. More...  
IterativeLinearSolver (const IterativeLinearSolver &)  
Broken copy constructor. More...  
void  operator= (const IterativeLinearSolver &) 
Broken assignment operator. More...  
virtual  ~IterativeLinearSolver () 
Destructor (empty) More...  
Preconditioner *&  preconditioner_pt () 
Access function to preconditioner. More...  
Preconditioner *const &  preconditioner_pt () const 
Access function to preconditioner (const version) More...  
double &  tolerance () 
Access to convergence tolerance. More...  
unsigned &  max_iter () 
Access to max. number of iterations. More...  
void  enable_doc_convergence_history () 
Enable documentation of the convergence history. More...  
void  disable_doc_convergence_history () 
Disable documentation of the convergence history. More...  
void  open_convergence_history_file_stream (const std::string &file_name, const std::string &zone_title="") 
Write convergence history into file with specified filename (automatically switches on doc). Optional second argument is a string that can be used (as a zone title) to identify what case we're running (e.g. what combination of linear solver and preconditioner or parameter values are used). More...  
void  close_convergence_history_file_stream () 
Close convergence history output stream. More...  
double  jacobian_setup_time () const 
returns the time taken to assemble the jacobian matrix and residual vector More...  
double  linear_solver_solution_time () const 
return the time taken to solve the linear system More...  
virtual double  preconditioner_setup_time () const 
returns the the time taken to setup the preconditioner More...  
void  enable_setup_preconditioner_before_solve () 
Setup the preconditioner before the solve. More...  
void  disable_setup_preconditioner_before_solve () 
Don't set up the preconditioner before the solve. More...  
void  enable_error_after_max_iter () 
Throw an error if we don't converge within max_iter. More...  
void  disable_error_after_max_iter () 
Don't throw an error if we don't converge within max_iter (default). More...  
void  enable_iterative_solver_as_preconditioner () 
void  disable_iterative_solver_as_preconditioner () 
Public Member Functions inherited from oomph::LinearSolver  
LinearSolver ()  
Empty constructor, initialise the member data. More...  
LinearSolver (const LinearSolver &dummy)  
Broken copy constructor. More...  
void  operator= (const LinearSolver &) 
Broken assignment operator. More...  
virtual  ~LinearSolver () 
Empty virtual destructor. More...  
void  enable_doc_time () 
Enable documentation of solve times. More...  
void  disable_doc_time () 
Disable documentation of solve times. More...  
bool  is_doc_time_enabled () const 
Is documentation of solve times enabled? More...  
bool  is_resolve_enabled () const 
Boolean flag indicating if resolves are enabled. More...  
virtual void  enable_resolve () 
Enable resolve (i.e. store matrix and/or LU decomposition, say) Virtual so it can be overloaded to perform additional tasks. More...  
virtual void  enable_computation_of_gradient () 
function to enable the computation of the gradient required for the globally convergent Newton method More...  
void  disable_computation_of_gradient () 
function to disable the computation of the gradient required for the globally convergent Newton method More...  
void  reset_gradient () 
function to reset the size of the gradient before each Newton solve More...  
void  get_gradient (DoubleVector &gradient) 
function to access the gradient, provided it has been computed More...  
Public Member Functions inherited from oomph::DistributableLinearAlgebraObject  
DistributableLinearAlgebraObject ()  
Default constructor  create a distribution. More...  
DistributableLinearAlgebraObject (const DistributableLinearAlgebraObject &matrix)  
Broken copy constructor. More...  
void  operator= (const DistributableLinearAlgebraObject &) 
Broken assignment operator. More...  
virtual  ~DistributableLinearAlgebraObject () 
Destructor. More...  
LinearAlgebraDistribution *  distribution_pt () const 
access to the LinearAlgebraDistribution More...  
unsigned  nrow () const 
access function to the number of global rows. More...  
unsigned  nrow_local () const 
access function for the num of local rows on this processor. More...  
unsigned  nrow_local (const unsigned &p) const 
access function for the num of local rows on this processor. More...  
unsigned  first_row () const 
access function for the first row on this processor More...  
unsigned  first_row (const unsigned &p) const 
access function for the first row on this processor More...  
bool  distributed () const 
distribution is serial or distributed More...  
bool  distribution_built () const 
void  build_distribution (const LinearAlgebraDistribution *const dist_pt) 
setup the distribution of this distributable linear algebra object More...  
void  build_distribution (const LinearAlgebraDistribution &dist) 
setup the distribution of this distributable linear algebra object More...  
Public Member Functions inherited from oomph::BlockPreconditioner< MATRIX >  
BlockPreconditioner ()  
Constructor. More...  
virtual  ~BlockPreconditioner () 
Destructor. More...  
BlockPreconditioner (const BlockPreconditioner &)  
Broken copy constructor. More...  
void  operator= (const BlockPreconditioner &) 
Broken assignment operator. More...  
MATRIX *  matrix_pt () const 
Access function to matrix_pt. If this is the master then cast the matrix pointer to MATRIX*, error check and return. Otherwise ask the master for its matrix pointer. More...  
void  turn_on_recursive_debug_flag () 
Toggles on the recursive debug flag. The change goes up the block preconditioning hierarchy. More...  
void  turn_off_recursive_debug_flag () 
Toggles off the recursive debug flag. The change goes up the block preconditioning hierarchy. More...  
void  turn_on_debug_flag () 
Toggles on the debug flag. More...  
void  turn_off_debug_flag () 
Toggles off the debug flag. More...  
void  turn_into_subsidiary_block_preconditioner (BlockPreconditioner< MATRIX > *master_block_prec_pt, const Vector< unsigned > &doftype_in_master_preconditioner_coarse) 
Function to turn this preconditioner into a subsidiary preconditioner that operates within a bigger "master block preconditioner (e.g. a NavierStokes 2x2 block preconditioner dealing with the fluid subblocks within a 3x3 FSI preconditioner. Once this is done the master block preconditioner deals with the block setup etc. The vector doftype_in_master_preconditioner_coarse must specify the dof number in the master preconditioner that corresponds to a dof number in this preconditioner. 1. The length of the vector is used to determine the number of blocks in this preconditioner therefore it must be correctly sized. 2. block_setup(...) should be called in the master preconditioner before this method is called. 3. block_setup(...) should be called in the corresponding subsidiary preconditioner after this method is called. More...  
void  turn_into_subsidiary_block_preconditioner (BlockPreconditioner< MATRIX > *master_block_prec_pt, const Vector< unsigned > &doftype_in_master_preconditioner_coarse, const Vector< Vector< unsigned > > &doftype_coarsen_map_coarse) 
Function to turn this preconditioner into a subsidiary preconditioner that operates within a bigger "master block preconditioner (e.g. a NavierStokes 2x2 block preconditioner dealing with the fluid subblocks within a 3x3 FSI preconditioner. Once this is done the master block preconditioner deals with the block setup etc. The vector doftype_in_master_preconditioner_coarse must specify the dof number in the master preconditioner that corresponds to a dof number in this preconditioner. 1. The length of the vector is used to determine the number of blocks in this preconditioner therefore it must be correctly sized. 2. block_setup(...) should be called in the master preconditioner before this method is called. 3. block_setup(...) should be called in the corresponding subsidiary preconditioner after this method is called. More...  
virtual void  block_setup () 
Determine the size of the matrix blocks and setup the lookup schemes relating the global degrees of freedom with their "blocks" and their indices (row/column numbers) in those blocks. The distributions of the preconditioner and the internal blocks are automatically specified (and assumed to be uniform) at this stage. This method should be used if the identity doftoblock mapping is okay, i.e. dof number 0 corresponds to block number 0 dof number 1 corresponds to block number 1 dof number 2 corresponds to block number 2 etc... More...  
void  block_setup (const Vector< unsigned > &dof_to_block_map) 
Determine the size of the matrix blocks and setup the lookup schemes relating the global degrees of freedom with their "blocks" and their indices (row/column numbers) in those blocks. The distributions of the preconditioner and the blocks are automatically specified (and assumed to be uniform) at this stage. This method should be used if anything other than the identity doftoblock mapping is required. The argument vector dof_to_block_map should be of length ndof. The indices represents the dof types whilst the value represents the block types. In general we want: More...  
void  get_block (const unsigned &i, const unsigned &j, MATRIX &output_matrix, const bool &ignore_replacement_block=false) const 
Put block (i,j) into output_matrix. This block accounts for any coarsening of dof types and any replaced doflevel blocks above this preconditioner. More...  
MATRIX  get_block (const unsigned &i, const unsigned &j, const bool &ignore_replacement_block=false) const 
Return block (i,j). If the optional argument ignore_replacement_block is true, then any blocks in Replacement_dof_block_pt will be ignored throughout the preconditioning hierarchy. More...  
void  set_master_matrix_pt (MATRIX *in_matrix_pt) 
Set the matrix_pt in the uppermost master preconditioner. More...  
void  get_block_other_matrix (const unsigned &i, const unsigned &j, MATRIX *in_matrix_pt, MATRIX &output_matrix) 
Get a block from a different matrix using the blocking scheme that has already been set up. More...  
void  get_blocks (DenseMatrix< bool > &required_blocks, DenseMatrix< MATRIX * > &block_matrix_pt) const 
Get all the block matrices required by the block preconditioner. Takes a pointer to a matrix of bools that indicate if a specified subblock is required for the preconditioning operation. Computes the required block matrices, and stores pointers to them in the matrix block_matrix_pt. If an entry in block_matrix_pt is equal to NULL on return, that subblock has not been requested and is therefore not available. More...  
void  get_dof_level_block (const unsigned &i, const unsigned &j, MATRIX &output_block, const bool &ignore_replacement_block=false) const 
Gets doflevel block (i,j). If Replacement_dof_block_pt(i,j) is not null, then the replacement block is returned via a deep copy. More...  
MATRIX  get_concatenated_block (const VectorMatrix< BlockSelector > &selected_block) 
Returns a concatenation of the block matrices specified by the argument selected_block. The VectorMatrix selected_block must be correctly sized as it is used to determine the number of sub block matrices to concatenate. More...  
void  get_concatenated_block_vector (const Vector< unsigned > &block_vec_number, const DoubleVector &v, DoubleVector &b) 
Takes the naturally ordered vector and extracts the blocks indicated by the block number (the values) in the Vector block_vec_number all at once, then concatenates them without communication. Here, the values in block_vec_number is the block number in the current preconditioner. This is a nonconst function because distributions may be created and stored in Auxiliary_block_distribution_pt for future use. More...  
void  return_concatenated_block_vector (const Vector< unsigned > &block_vec_number, const DoubleVector &b, DoubleVector &v) const 
Takes concatenated block ordered vector, b, and copies its entries to the appropriate entries in the naturally ordered vector, v. Here the values in block_vec_number indicates which blocks the vector b is a concatenation of. The block number are those in the current preconditioner. If the preconditioner is a subsidiary block preconditioner the other entries in v that are not associated with it are left alone. More...  
void  get_block_vectors (const Vector< unsigned > &block_vec_number, const DoubleVector &v, Vector< DoubleVector > &s) const 
Takes the naturally ordered vector and rearranges it into a vector of sub vectors corresponding to the blocks, so s[b][i] contains the ith entry in the vector associated with block b. Note: If the preconditioner is a subsidiary preconditioner then only the subvectors associated with the blocks of the subsidiary preconditioner will be included. Hence the length of v is master_nrow() whereas the total length of the s vectors is the sum of the lengths of the individual block vectors defined in block_vec_number. More...  
void  get_block_vectors (const DoubleVector &v, Vector< DoubleVector > &s) const 
Takes the naturally ordered vector and rearranges it into a vector of sub vectors corresponding to the blocks, so s[b][i] contains the ith entry in the vector associated with block b. Note: If the preconditioner is a subsidiary preconditioner then only the subvectors associated with the blocks of the subsidiary preconditioner will be included. Hence the length of v is master_nrow() whereas the total length of the s vectors is Nrow. This is simply a wrapper around the other get_block_vectors(...) function where the block_vec_number Vector is the identity, i.e. block_vec_number is [0, 1, ..., nblock_types  1]. More...  
void  return_block_vectors (const Vector< unsigned > &block_vec_number, const Vector< DoubleVector > &s, DoubleVector &v) const 
Takes the vector of block vectors, s, and copies its entries into the naturally ordered vector, v. If this is a subsidiary block preconditioner only those entries in v that are associated with its blocks are affected. The block_vec_number indicates which block the vectors in s came from. The block number corresponds to the block numbers in this preconditioner. More...  
void  return_block_vectors (const Vector< DoubleVector > &s, DoubleVector &v) const 
Takes the vector of block vectors, s, and copies its entries into the naturally ordered vector, v. If this is a subsidiary block preconditioner only those entries in v that are associated with its blocks are affected. The block_vec_number indicates which block the vectors in s came from. The block number corresponds to the block numbers in this preconditioner. This is simply a wrapper around the other return_block_vectors(...) function where the block_vec_number Vector is the identity, i.e. block_vec_number is [0, 1, ..., nblock_types  1]. More...  
void  get_block_vector (const unsigned &n, const DoubleVector &v, DoubleVector &b) const 
Takes the naturally ordered vector, v and returns the nth block vector, b. Here n is the block number in the current preconditioner. More...  
void  return_block_vector (const unsigned &n, const DoubleVector &b, DoubleVector &v) const 
Takes the nth block ordered vector, b, and copies its entries to the appropriate entries in the naturally ordered vector, v. Here n is the block number in the current block preconditioner. If the preconditioner is a subsidiary block preconditioner the other entries in v that are not associated with it are left alone. More...  
void  get_block_ordered_preconditioner_vector (const DoubleVector &v, DoubleVector &w) 
Given the naturally ordered vector, v, return the vector rearranged in block order in w. This function calls get_concatenated_block_vector(...) with the identity block mapping. More...  
void  return_block_ordered_preconditioner_vector (const DoubleVector &w, DoubleVector &v) const 
Takes the block ordered vector, w, and reorders it in natural order. Reordered vector is returned in v. Note: If the preconditioner is a subsidiary preconditioner then only the components of the vector associated with the blocks of the subsidiary preconditioner will be included. Hence the length of v is master_nrow() whereas that of the vector w is of length this>nrow(). More...  
unsigned  nblock_types () const 
Return the number of block types. More...  
unsigned  ndof_types () const 
Return the total number of DOF types. More...  
const Mesh *  mesh_pt (const unsigned &i) const 
Access to ith mesh (of the various meshes that contain block preconditionable elements of the same number of dof type). More...  
unsigned  nmesh () const 
Return the number of meshes in Mesh_pt. More...  
int  block_number (const unsigned &i_dof) const 
Return the block number corresponding to a global index i_dof. More...  
int  index_in_block (const unsigned &i_dof) const 
Given a global dof number, returns the index in the block it belongs to. This is the overall index, not local block (in parallel). More...  
const LinearAlgebraDistribution *  block_distribution_pt (const unsigned &b) const 
Access function to the block distributions (const version). More...  
LinearAlgebraDistribution *  block_distribution_pt (const unsigned b) 
Access function to the block distributions (nonconst version). More...  
LinearAlgebraDistribution *  dof_block_distribution_pt (const unsigned &b) 
Access function to the doflevel block distributions. More...  
const LinearAlgebraDistribution *  master_distribution_pt () const 
Access function to the distribution of the master preconditioner. If this preconditioner does not have a master preconditioner then the distribution of this preconditioner is returned. More...  
unsigned  ndof_types_in_mesh (const unsigned &i) const 
Return the number of DOF types in mesh i. WARNING: This should only be used by the uppermost master block preconditioner. An error is thrown is this function is called from a subsidiary preconditioner. They (and since every block preconditioner can in principle be used as s subsidiary preconditioner: all block preconditioners) should store local copies of "their meshes" (if they're needed for anything) More...  
bool  is_subsidiary_block_preconditioner () const 
Return true if this preconditioner is a subsidiary preconditioner. More...  
bool  is_master_block_preconditioner () const 
Return true if this preconditioner is the master block preconditioner. More...  
void  set_block_output_to_files (const std::string &basefilename) 
Set the base part of the filename to output blocks to. If it is set then all blocks will be output at the end of block_setup. If it is left empty nothing will be output. More...  
void  disable_block_output_to_files () 
Turn off output of blocks (by clearing the basefilename string). More...  
bool  block_output_on () const 
Test if output of blocks is on or not. More...  
void  output_blocks_to_files (const std::string &basefilename, const unsigned &precision=8) const 
void  post_block_matrix_assembly_partial_clear () 
A helper method to reduce the memory requirements of block preconditioners. Once the methods get_block(...), get_blocks(...) and build_preconditioner_matrix(...) have been called in this and all subsidiary block preconditioners this method can be called to clean up. More...  
BlockPreconditioner< MATRIX > *  master_block_preconditioner_pt () const 
Access function to the master block preconditioner pt. More...  
void  clear_block_preconditioner_base () 
Clears all BlockPreconditioner data. Called by the destructor and the block_setup(...) methods. More...  
void  document () 
debugging method to document the setup. Should only be called after block_setup(...). More...  
Vector< Vector< unsigned > >  doftype_coarsen_map_fine () const 
Access function for the Doftype_coarsen_map_fine variable. More...  
Vector< unsigned >  get_fine_grain_dof_types_in (const unsigned &i) const 
Returns the most fine grain dof types in a (possibly coarsened) dof type. More...  
unsigned  nfine_grain_dof_types_in (const unsigned &i) const 
Access function for the number of most fine grain dof types in a (possibly coarsened) dof type. More...  
MapMatrix< unsigned, CRDoubleMatrix * >  replacement_dof_block_pt () const 
Access function to the replaced doflevel blocks. More...  
void  setup_matrix_vector_product (MatrixVectorProduct *matvec_prod_pt, CRDoubleMatrix *block_pt, const Vector< unsigned > &block_col_indices) 
Setup a matrix vector product. matvec_prod_pt is a pointer to the MatrixVectorProduct, block_pt is a pointer to the block matrix, block_col_indices is a vector indicating which block indices does the RHS vector we want to multiply the matrix by. More...  
void  setup_matrix_vector_product (MatrixVectorProduct *matvec_prod_pt, CRDoubleMatrix *block_pt, const unsigned &block_col_index) 
Setup matrix vector product. This is simply a wrapper around the other setup_matrix_vector_product function. More...  
void  internal_get_block_ordered_preconditioner_vector (const DoubleVector &v, DoubleVector &w) const 
Given the naturally ordered vector, v, return the vector rearranged in block order in w. This is a legacy function from the old block preconditioning framework. Kept alive in case it may be needed again. More...  
void  internal_return_block_ordered_preconditioner_vector (const DoubleVector &w, DoubleVector &v) const 
Takes the block ordered vector, w, and reorders it in the natural order. Reordered vector is returned in v. Note: If the preconditioner is a subsidiary preconditioner then only the components of the vector associated with the blocks of the subsidiary preconditioner will be included. Hence the length of v is master_nrow() whereas that of the vector w is of length this>nrow(). More...  
unsigned  internal_nblock_types () const 
Return the number internal blocks. This should be the same as the number of internal dof types. Internally, the block preconditioning framework always work with the most fine grain blocks. I.e. it always deal with the most fine grain doflevel blocks. This allows for coarsening of dof types. When we extract a block, we look at the Block_to_dof_map_fine vector to find out which most fine grain dof types belongs to this block. More...  
unsigned  internal_ndof_types () const 
Return the number of internal dof types. This is the number of most fine grain dof types. The preconditioner writer should not have to concern him/herself with the internal dof/block types. Thus this fuction is moved to private. We have kept this function alive since it it still used deep within the inner workings of the block preconditioning framework. More...  
void  internal_return_block_vector (const unsigned &n, const DoubleVector &b, DoubleVector &v) const 
Takes the nth block ordered vector, b, and copies its entries to the appropriate entries in the naturally ordered vector, v. Here n is the block number in the current block preconditioner. If the preconditioner is a subsidiary block preconditioner the other entries in v that are not associated with it are left alone. More...  
void  internal_get_block_vector (const unsigned &n, const DoubleVector &v, DoubleVector &b) const 
A helper function, takes the naturally ordered vector, v, and extracts the nth block vector, b. Here n is the block number in the current preconditioner. NOTE: The ordering of the vector b is the same as the ordering of the block matrix from internal_get_block(...). More...  
void  internal_get_block_vectors (const Vector< unsigned > &block_vec_number, const DoubleVector &v, Vector< DoubleVector > &s) const 
Takes the naturally ordered vector and rearranges it into a vector of sub vectors corresponding to the blocks, so s[b][i] contains the ith entry in the vector associated with block b. The block_vec_number indicates which blocks we want. These blocks and vectors are those corresponding to the internal blocks. Note: If the preconditioner is a subsidiary preconditioner then only the subvectors associated with the blocks of the subsidiary preconditioner will be included. Hence the length of v is master_nrow() whereas the total length of the s vectors is the sum of the Nrow of the sub vectors. More...  
void  internal_get_block_vectors (const DoubleVector &v, Vector< DoubleVector > &s) const 
A helper function, takes the naturally ordered vector and rearranges it into a vector of sub vectors corresponding to the blocks, so s[b][i] contains the ith entry in the vector associated with block b. The block_vec_number indicates which blocks we want. These blocks and vectors are those corresponding to the internal blocks. Note: If the preconditioner is a subsidiary preconditioner then only the subvectors associated with the blocks of the subsidiary preconditioner will be included. Hence the length of v is master_nrow() whereas the total length of the s vectors is the sum of the Nrow of the sub vectors. This is simply a wrapper around the other internal_get_block_vectors(...) function with the identity block_vec_number vector. More...  
void  internal_return_block_vectors (const Vector< unsigned > &block_vec_number, const Vector< DoubleVector > &s, DoubleVector &v) const 
A helper function, takes the vector of block vectors, s, and copies its entries into the naturally ordered vector, v. If this is a subsidiary block preconditioner only those entries in v that are associated with its blocks are affected. More...  
void  internal_return_block_vectors (const Vector< DoubleVector > &s, DoubleVector &v) const 
A helper function, takes the vector of block vectors, s, and copies its entries into the naturally ordered vector, v. If this is a subsidiary block preconditioner only those entries in v that are associated with its blocks are affected. This is simple a wrapper around the other internal_return_block_vectors(...) function with the identity block_vec_number vector. More...  
void  internal_get_block (const unsigned &i, const unsigned &j, MATRIX &output_block) const 
Gets block (i,j) from the matrix pointed to by Matrix_pt and returns it in output_block. This is associated with the internal blocks. Please use the other get_block(...) function. More...  
int  internal_block_number (const unsigned &i_dof) const 
Return the block number corresponding to a global index i_dof. This returns the block number corresponding to the internal blocks. What this means is that this returns the most fine grain dofblock number which this global index i_dof corresponds to. Since the writer of the preconditioner does not need to care about the internal block types, this function should not be used and thus moved to private. This function should not be removed since it is still used deep within the inner workings of the block preconditioning framework. More...  
int  internal_index_in_block (const unsigned &i_dof) const 
Return the index in the block corresponding to a global block number i_dof. The index returned corresponds to the internal blocks, which is the most fine grain dof blocks. More...  
const LinearAlgebraDistribution *  internal_block_distribution_pt (const unsigned &b) const 
Access function to the internal block distributions. More...  
void  insert_auxiliary_block_distribution (const Vector< unsigned > &block_vec_number, LinearAlgebraDistribution *dist_pt) 
insert a Vector<unsigned> and LinearAlgebraDistribution* pair into Auxiliary_block_distribution_pt. The Auxiliary_block_distribution_pt should only contain pointers to distributions concatenated at this block level. We try to ensure this by checking if the block_vec_number vector is within the range nblock_types(). Of course, this does not guarantee correctness, but this is the least we can do. More...  
void  block_matrix_test (const unsigned &i, const unsigned &j, const MATRIX *block_matrix_pt) const 
Private helper function to check that every element in the block matrix (i,j) matches the corresponding element in the original matrix. More...  
template<typename myType >  
int  get_index_of_value (const Vector< myType > &vec, const myType val, const bool sorted=false) const 
Get the index of first occurrence of value in a vector. If the element does not exist, 1 is returned. The optional parameter indicates of the Vector is sorted or not. Complexity: if the Vector is sorted, then on average, logarithmic in the distance between first and last: Performs approximately log2(N)+2 element comparisons. Otherwise, up to linear in the distance between first and last: Compares elements until a match is found. More...  
template<>  
void  internal_get_block (const unsigned &block_i, const unsigned &block_j, CRDoubleMatrix &output_block) const 
template<>  
void  get_dof_level_block (const unsigned &block_i, const unsigned &block_j, CRDoubleMatrix &output_block, const bool &ignore_replacement_block) const 
Public Member Functions inherited from oomph::Preconditioner  
Preconditioner ()  
Constructor. More...  
Preconditioner (const Preconditioner &)  
Broken copy constructor. More...  
void  operator= (const Preconditioner &) 
Broken assignment operator. More...  
virtual  ~Preconditioner () 
Destructor (empty) More...  
void  setup (DoubleMatrixBase *matrix_pt) 
Setup the preconditioner: store the matrix pointer and the communicator pointer then call preconditioner specific setup() function. More...  
void  setup (const Problem *problem_pt, DoubleMatrixBase *matrix_pt) 
Compatability layer for old preconditioners where problem pointers were needed. The problem pointer is only used to get a communicator pointer. More...  
virtual void  set_matrix_pt (DoubleMatrixBase *matrix_pt) 
Set the matrix pointer. More...  
virtual const OomphCommunicator *  comm_pt () const 
Get function for comm pointer. More...  
virtual void  set_comm_pt (const OomphCommunicator *const comm_pt) 
Set the communicator pointer. More...  
double  setup_time () const 
Returns the time to setup the preconditioner. More...  
virtual void  turn_into_subsidiary_block_preconditioner (BlockPreconditioner< CRDoubleMatrix > *master_block_prec_pt, const Vector< unsigned > &doftype_in_master_preconditioner_coarse) 
virtual void  turn_into_subsidiary_block_preconditioner (BlockPreconditioner< CRDoubleMatrix > *master_block_prec_pt, const Vector< unsigned > &doftype_in_master_preconditioner_coarse, const Vector< Vector< unsigned > > &doftype_coarsen_map_coarse) 
Private Member Functions  
void  solve_helper (DoubleMatrixBase *const &matrix_pt, const DoubleVector &rhs, DoubleVector &solution) 
General interface to solve function. More...  
void  update (const unsigned &k, const Vector< Vector< std::complex< double > > > &hessenberg, const Vector< std::complex< double > > &s, const Vector< Vector< DoubleVector > > &z_m, Vector< DoubleVector > &x) 
Helper function to update the result vector. More...  
Additional Inherited Members  
Protected Member Functions inherited from oomph::HelmholtzGMRESMG< MATRIX >  
void  solve_helper (DoubleMatrixBase *const &matrix_pt, const DoubleVector &rhs, DoubleVector &solution) 
General interface to solve function. More...  
void  clean_up_memory () 
Cleanup data that's stored for resolve (if any has been stored) More...  
void  complex_matrix_multiplication (Vector< CRDoubleMatrix * > const matrices_pt, const Vector< DoubleVector > &x, Vector< DoubleVector > &soln) 
Helper function to calculate a complex matrixvector product. Assumes the matrix has been provided as a Vector of length two; the first entry containing the real part of the system matrix and the second entry containing the imaginary part. More...  
void  update (const unsigned &k, const Vector< Vector< std::complex< double > > > &hessenberg, const Vector< std::complex< double > > &s, const Vector< Vector< DoubleVector > > &v, Vector< DoubleVector > &x) 
Helper function to update the result vector. More...  
void  generate_plane_rotation (std::complex< double > &dx, std::complex< double > &dy, std::complex< double > &cs, std::complex< double > &sn) 
Helper function: Generate a plane rotation. This is done by finding the value of (i.e. cs) and the value of (i.e. sn) such that:
where . The values of a and b are given by: The values of dx and dy are given by:
and
Taken from: Saad Y."Iterative methods for sparse linear systems", p.193. We also check to see that sn is always a real (nonnegative) number. See pp.193194 for an explanation. More...  
void  apply_plane_rotation (std::complex< double > &dx, std::complex< double > &dy, std::complex< double > &cs, std::complex< double > &sn) 
Helper function: Apply plane rotation. This is done using the update:
Taken from: Saad Y."Iterative methods for sparse linear systems", p.193. More...  
Protected Member Functions inherited from oomph::DistributableLinearAlgebraObject  
void  clear_distribution () 
clear the distribution of this distributable linear algebra object More...  
Protected Member Functions inherited from oomph::BlockPreconditioner< MATRIX >  
void  set_nmesh (const unsigned &n) 
Specify the number of meshes required by this block preconditioner. Note: elements in different meshes correspond to different types of DOF. More...  
void  set_mesh (const unsigned &i, const Mesh *const mesh_pt, const bool &allow_multiple_element_type_in_mesh=false) 
Set the ith mesh for this block preconditioner. Note: The method set_nmesh(...) must be called before this method to specify the number of meshes. By default, it is assumed that each mesh only contains elements of the same type. This condition may be relaxed by setting the boolean allow_multiple_element_type_in_mesh to true, however, each mesh must only contain elements with the same number of dof types. More...  
void  set_replacement_dof_block (const unsigned &block_i, const unsigned &block_j, CRDoubleMatrix *replacement_dof_block_pt) 
Set replacement doflevel blocks. Only doflevel blocks can be set. This is important due to how the dof type coarsening feature operates. More...  
bool  any_mesh_distributed () const 
Check if any of the meshes are distributed. This is equivalent to problem.distributed() and is used as a replacement. More...  
int  internal_dof_number (const unsigned &i_dof) const 
Return the number of the block associated with global unknown i_dof. If this preconditioner is a subsidiary block preconditioner then the block number in the subsidiary block preconditioner is returned. If a particular global DOF is not associated with this preconditioner then 1 is returned. More...  
unsigned  internal_index_in_dof (const unsigned &i_dof) const 
Return the row/column number of global unknown i_dof within it's block. More...  
unsigned  internal_block_dimension (const unsigned &b) const 
Return the number of degrees of freedom in block b. Note that if this preconditioner acts as a subsidiary preconditioner then b refers to the block number in the subsidiary preconditioner not the master block preconditioner. More...  
unsigned  internal_dof_block_dimension (const unsigned &i) const 
Return the size of the dof "block" i, i.e. how many degrees of freedom are associated with it. Note that if this preconditioner acts as a subsidiary preconditioner, then i refers to the block number in the subsidiary preconditioner not the master block preconditioner. More...  
unsigned  master_nrow () const 
Return the number of dofs (number of rows or columns) in the overall problem. The prefix "master_" is sort of redundant when used as a standalone block preconditioner but is required to avoid ambiguities. The latter is stored (and maintained) separately for each specific block preconditioner regardless of its role. More...  
unsigned  internal_master_dof_number (const unsigned &b) const 
Takes the block number within this preconditioner and returns the corresponding block number in the master preconditioner. If this preconditioner does not have a master block preconditioner then the block number passed is returned. More...  
const LinearAlgebraDistribution *  internal_preconditioner_matrix_distribution_pt () const 
access function to the internal preconditioner matrix distribution pt. preconditioner_matrix_distribution_pt always returns the concatenation of the internal block distributions. Since the writer of the preconditioner does not need to concern themselves with the internal dof/block, please use preconditioner_matrix_distribution_pt(). More...  
const LinearAlgebraDistribution *  preconditioner_matrix_distribution_pt () const 
Access function to the preconditioner matrix distribution pointer. This is the concatenation of the block distributions with the identity ordering. I.e. if this preconditioner has three block types, with the three associated block distributions dist_b0, dist_b1 and dist_b2, then this distribution is: LinearAlgebraDistributionHelpers::concatenate(dist_b0, dist_b1, dist_b2). More...  
Protected Attributes inherited from oomph::HelmholtzGMRESMG< MATRIX >  
unsigned  Iterations 
Number of iterations taken. More...  
Vector< CRDoubleMatrix * >  Matrices_storage_pt 
Vector of pointers to the real and imaginary part of the system matrix. More...  
bool  Resolving 
Boolean flag to indicate if the solve is done in resolve mode, bypassing setup of matrix and preconditioner. More...  
bool  Matrix_can_be_deleted 
Boolean flag to indicate if the matrix pointed to be Matrix_pt can be deleted. More...  
bool  Preconditioner_LHS 
boolean indicating use of left hand preconditioning (if true) or right hand preconditioning (if false) More...  
Protected Attributes inherited from oomph::IterativeLinearSolver  
bool  Doc_convergence_history 
Flag indicating if the convergence history is to be documented. More...  
std::ofstream  Output_file_stream 
Output file stream for convergence history. More...  
double  Tolerance 
Convergence tolerance. More...  
unsigned  Max_iter 
Maximum number of iterations. More...  
Preconditioner *  Preconditioner_pt 
Pointer to the preconditioner. More...  
double  Jacobian_setup_time 
Jacobian setup time. More...  
double  Solution_time 
linear solver solution time More...  
double  Preconditioner_setup_time 
Preconditioner setup time. More...  
bool  Setup_preconditioner_before_solve 
indicates whether the preconditioner should be setup before solve. Default = true; More...  
bool  Throw_error_after_max_iter 
Should we throw an error instead of just returning when we hit the max iterations? More...  
bool  Use_iterative_solver_as_preconditioner 
Use the iterative solver as preconditioner. More...  
bool  First_time_solve_when_used_as_preconditioner 
Protected Attributes inherited from oomph::LinearSolver  
bool  Enable_resolve 
Boolean that indicates whether the matrix (or its factors, in the case of direct solver) should be stored so that the resolve function can be used. More...  
bool  Doc_time 
Boolean flag that indicates whether the time taken. More...  
bool  Compute_gradient 
flag that indicates whether the gradient required for the globally convergent Newton method should be computed or not More...  
bool  Gradient_has_been_computed 
flag that indicates whether the gradient was computed or not More...  
DoubleVector  Gradient_for_glob_conv_newton_solve 
DoubleVector storing the gradient for the globally convergent Newton method. More...  
Protected Attributes inherited from oomph::BlockPreconditioner< MATRIX >  
MapMatrix< unsigned, CRDoubleMatrix * >  Replacement_dof_block_pt 
The replacement doflevel blocks. More...  
Vector < LinearAlgebraDistribution * >  Block_distribution_pt 
The distribution for the blocks. More...  
Vector< Vector< unsigned > >  Block_to_dof_map_coarse 
Mapping for block types to dof types. These are the dof types the writer of the preconditioner expects. For the uppermost master block preconditioner, this would be the sum of the dof types in the meshes. For subsidiary block preconditioners, this is determined by the parent preconditioner when passing in the doftype_coarsen_map_coarse vector in turn_into_subsidiary_block_preconditioner(...). More...  
Vector< Vector< unsigned > >  Block_to_dof_map_fine 
Mapping for the block types to the most fine grain dof types. More...  
Vector< Vector< unsigned > >  Doftype_coarsen_map_coarse 
Mapping for dof types within THIS precondition. This is usually passed down from the parent preconditioner. This list is used to tell which does types should be considered as a single dof type within this preconditioner. I.e. we "coarsen" the dof types. The values are local to this preconditioner, for example, even if the Doftype_in_master_preconditioner_coarse = [2,3,4], the vector Doftype_coarsen_map_coarse = [[0],[1,2]], saying your local dof types 0 should be considered as dof type 0 and dof types 1 and 2 are considered as dof type 1. More...  
Vector< Vector< unsigned > >  Doftype_coarsen_map_fine 
Mapping the dof types within this preconditioner. The values in here refers to the most grain dof types. This list is automatically generated either in block_setup(...) (for the topmost preconditioner) or the turn_into_subsidiary_block_preconditioner(...) function. Please refer to the comment above Doftype_coarsen_map_coarse for more details. More...  
Vector < LinearAlgebraDistribution * >  Internal_block_distribution_pt 
Storage for the default distribution for each internal block. More...  
Vector < LinearAlgebraDistribution * >  Dof_block_distribution_pt 
Storage for the default distribution for each dof block at this level. More...  
Vector< unsigned >  Allow_multiple_element_type_in_mesh 
Vector of unsigned to indicate which meshes contain multiple element types. More...  
Vector< const Mesh * >  Mesh_pt 
Vector of pointers to the meshes containing the elements used in the block preconditioner. Const pointers to prevent modification of the mesh by the preconditioner (this could be relaxed if needed). If this is a subsidiary preconditioner, then the information is looked up in the master preconditioner. More...  
Vector< unsigned >  Ndof_types_in_mesh 
Storage for number of types of degree of freedom of the elements in each mesh. More...  
unsigned  Internal_nblock_types 
Number of different block types in this preconditioner. Note that this information is maintained if used as a subsidiary or standalone block preconditioner, in the latter case it stores the number of blocks within the subsidiary preconditioner. More...  
unsigned  Internal_ndof_types 
Number of different DOF types in this preconditioner. Note that this information is maintained if used as a subsidiary or standalone block preconditioner, in the latter case it stores the number of dofs within the subsidiary preconditioner. More...  
Static Protected Attributes inherited from oomph::IterativeLinearSolver  
static IdentityPreconditioner  Default_preconditioner 
Default preconditioner: The base class for preconditioners is a fully functional (if trivial!) preconditioner. More...  
The FGMRES method, i.e. the flexible variant of the GMRES method which allows for nonconstant preconditioners [see Saad Y, "Iterative methods for sparse linear systems", p.287]. Note, FGMRES can only cater to right preconditioning; if the user tries to switch to left preconditioning they will be notified of this.
Definition at line 3272 of file complex_smoother.h.

inline 
Constructor (empty)
Definition at line 3278 of file complex_smoother.h.
References oomph::HelmholtzGMRESMG< MATRIX >::Preconditioner_LHS.

inlinevirtual 
Destructor (cleanup storage)
Definition at line 3285 of file complex_smoother.h.
References oomph::HelmholtzGMRESMG< MATRIX >::clean_up_memory().

inline 
Broken copy constructor.
Definition at line 3292 of file complex_smoother.h.
References oomph::BrokenCopy::broken_copy().

inline 
Broken assignment operator.
Definition at line 3298 of file complex_smoother.h.
References oomph::BrokenCopy::broken_assign().

inline 
Overloaded function to let the user know that left preconditioning is not possible with FGMRES, only right preconditioning.
Definition at line 3305 of file complex_smoother.h.

inlinevirtual 
Solver: Takes pointer to problem and returns the results vector which contains the solution of the linear system defined by the problem's fully assembled Jacobian and residual vector.
Reimplemented from oomph::HelmholtzGMRESMG< MATRIX >.
Definition at line 3324 of file complex_smoother.h.
References oomph::BlockPreconditioner< MATRIX >::block_setup(), oomph::DoubleVector::build(), oomph::DistributableLinearAlgebraObject::build_distribution(), oomph::DoubleVector::built(), oomph::HelmholtzGMRESMG< MATRIX >::clean_up_memory(), oomph::Problem::communicator_pt(), oomph::DistributableLinearAlgebraObject::distribution_pt(), oomph::LinearSolver::Doc_time, oomph::LinearSolver::Enable_resolve, oomph::BlockPreconditioner< MATRIX >::get_block(), oomph::Problem::get_jacobian(), i, oomph::IterativeLinearSolver::Jacobian_setup_time, oomph::HelmholtzGMRESMG< MATRIX >::Matrices_storage_pt, oomph::HelmholtzGMRESMG< MATRIX >::Matrix_can_be_deleted, oomph::BlockPreconditioner< MATRIX >::matrix_pt(), oomph::Problem::mesh_pt(), oomph::BlockPreconditioner< MATRIX >::nblock_types(), oomph::Problem::ndof(), oomph::oomph_info, oomph::DoubleVector::redistribute(), oomph::HelmholtzGMRESMG< MATRIX >::Resolving, oomph::Preconditioner::set_matrix_pt(), oomph::BlockPreconditioner< MATRIX >::set_mesh(), oomph::BlockPreconditioner< MATRIX >::set_nmesh(), oomph::HelmholtzFGMRESMG< MATRIX >::solve_helper(), and oomph::TimingHelpers::timer().

private 
General interface to solve function.
Linearalgebratype solver: Takes pointer to a matrix and rhs vector and returns the solution of the linear system. based on the algorithm presented in Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, Barrett, Berry et al, SIAM, 2006 and the implementation in the IML++ library : http://math.nist.gov/iml++/
Definition at line 3575 of file complex_smoother.h.
References oomph::DoubleVector::build(), oomph::DoubleVector::built(), oomph::LinearAlgebraDistribution::distributed(), oomph::DistributableLinearAlgebraObject::distribution_pt(), i, oomph::DoubleVector::initialise(), oomph::BlackBoxFDNewtonSolver::Max_iter, oomph::DistributableLinearAlgebraObject::nrow(), oomph::oomph_info, s, oomph::Global_string_for_annotation::string(), and oomph::TimingHelpers::timer().
Referenced by oomph::HelmholtzFGMRESMG< MATRIX >::solve().

inlineprivate 
Helper function to update the result vector.
Definition at line 3471 of file complex_smoother.h.
References oomph::DistributableLinearAlgebraObject::distribution_pt(), i, and s.