#include <schur.hh>
Public Member Functions | |
| SchurComplement (IS ia, Distribution *ds) | |
| SchurComplement (SchurComplement &other) | |
| void | set_tolerances (double r_tol, double a_tol, unsigned int max_it) override |
| void | set_from_input (const Input::Record in_rec) override |
| LinSys * | get_system () const |
| Distribution * | get_distribution () const |
| ~SchurComplement () | |
| void | form_rhs () |
| void | set_complement (LinSys_PETSC *ls) |
| Set complement LinSys object. More... | |
| Distribution * | make_complement_distribution () |
| get distribution of complement object if complement is defined More... | |
| double | get_solution_precision () override |
| get precision of solving More... | |
| LinSys::SolveInfo | solve () override |
| void | resolve () |
| double | compute_residual () override |
 Public Member Functions inherited from LinSys_PETSC | |
| LinSys_PETSC (const Distribution *rows_ds, const std::string ¶ms="") | |
| LinSys_PETSC (LinSys_PETSC &other) | |
| const Distribution * | get_ds () |
| const Mat * | get_matrix () override |
| const Vec * | get_rhs () override |
| PetscErrorCode | set_matrix (Mat &matrix, MatStructure str) override |
| PetscErrorCode | set_rhs (Vec &rhs) override |
| PetscErrorCode | mat_zero_entries () override |
| PetscErrorCode | rhs_zero_entries () override |
| void | start_allocation () override |
| void | start_add_assembly () override |
| void | start_insert_assembly () override |
| void | mat_set_values (int nrow, int *rows, int ncol, int *cols, double *vals) override |
| void | rhs_set_values (int nrow, int *rows, double *vals) override |
| void | preallocate_values (int nrow, int *rows, int ncol, int *cols) |
| void | preallocate_matrix () |
| void | finish_assembly () override |
| void | finish_assembly (MatAssemblyType assembly_type) |
| void | apply_constrains (double scalar=1.) override |
| void | set_initial_guess_nonzero (bool set_nonzero=true) |
| double | get_absolute_accuracy () override |
| void | view () override |
| ~LinSys_PETSC () | |
| Public Member Functions inherited from LinSys | |
| LinSys (const Distribution *rows_ds) | |
| LinSys (LinSys &other) | |
| unsigned int | size () |
| unsigned int | vec_lsize () |
| void | set_matrix_changed () |
| void | set_rhs_changed () |
| bool | is_matrix_changed () |
| bool | is_rhs_changed () |
| const Vec & | get_solution () |
| void | set_solution (double *sol_array) |
| double * | get_solution_array () |
| void | mat_set_value (int row, int col, double val) |
| void | rhs_set_value (int row, double val) |
| void | set_values (int nrow, int *rows, int ncol, int *cols, PetscScalar *mat_vals, PetscScalar *rhs_vals) |
| Set values in the system matrix and values in the right-hand side vector on corresponding rows. More... | |
| void | set_local_system (LocalSystem &local) |
| void | set_values (std::vector< int > &row_dofs, std::vector< int > &col_dofs, const arma::mat &matrix, const arma::vec &rhs, const arma::vec &row_solution, const arma::vec &col_solution) |
| void | add_constraint (int row, double value) |
| double | get_residual_norm () |
| double | get_relative_accuracy () |
| void | set_symmetric (bool flag=true) |
| bool | is_symmetric () |
| void | set_positive_definite (bool flag=true) |
| void | set_negative_definite (bool flag=true) |
| bool | is_positive_definite () |
| bool | is_negative_definite () |
| bool | is_new () |
| bool | is_preallocated () |
| void | set_spd_via_symmetric_general (bool flag=true) |
| bool | is_spd_via_symmetric_general () |
| virtual | ~LinSys () |
Protected Member Functions | |
| void | create_inversion_matrix () |
| create IA matrix More... | |
| void | form_schur () |
Protected Attributes | |
| Mat | IA |
| Mat | B |
| Mat | Bt |
| Mat | C |
| Mat | xA |
| Mat | IAB |
| int | loc_size_A |
| int | loc_size_B |
| IS | IsA |
| IS | IsB |
| Vec | RHS1 |
| Vec | RHS2 |
| Vec | Sol1 |
| Vec | Sol2 |
| SchurState | state |
| int | orig_lsize |
| Size of local vector part of original system. More... | |
| LinSys_PETSC * | Compl |
| Distribution * | ds_ |
| Protected Attributes inherited from LinSys_PETSC | |
| std::string | params_ |
| command-line-like options for the PETSc solver More... | |
| bool | init_guess_nonzero |
| flag for starting from nonzero guess More... | |
| Mat | matrix_ |
| Petsc matrix of the problem. More... | |
| Vec | rhs_ |
| PETSc vector constructed with vx array. More... | |
| Vec | residual_ |
| double * | v_rhs_ |
| local RHS array pointing to Vec rhs_ More... | |
| Vec | on_vec_ |
| Vectors for counting non-zero entries in diagonal block. More... | |
| Vec | off_vec_ |
| Vectors for counting non-zero entries in off-diagonal block. More... | |
| double | solution_precision_ |
| KSP | system |
| KSPConvergedReason | reason |
| Protected Attributes inherited from LinSys | |
| double | r_tol_ |
| relative tolerance of linear solver More... | |
| double | a_tol_ |
| absolute tolerance of linear solver More... | |
| unsigned int | max_it_ |
| maximum number of iterations of linear solver More... | |
| MPI_Comm | comm_ |
| SetValuesMode | status_ |
| Set value status of the linear system. More... | |
| const unsigned | lsize_ |
| local number of matrix rows (non-overlapping division of rows) More... | |
| unsigned | size_ |
| global number of matrix rows, i.e. problem size More... | |
| const Distribution * | rows_ds_ |
| final distribution of rows of MH matrix More... | |
| bool | symmetric_ |
| bool | positive_definite_ |
| bool | negative_definite_ |
| bool | spd_via_symmetric_general_ |
| bool | matrix_changed_ |
| true if the matrix was changed since the last solve More... | |
| bool | rhs_changed_ |
| true if the right hand side was changed since the last solve More... | |
| Vec | solution_ |
| PETSc vector constructed with vb array. More... | |
| double * | v_solution_ |
| local solution array pointing into Vec solution_ More... | |
| bool | own_solution_ |
| Indicates if the solution array has been allocated by this class. More... | |
| double | residual_norm_ |
| local solution array pointing into Vec solution_ More... | |
| ConstraintVec_ | constraints_ |
| std::vector< double > | globalSolution_ |
| global solution in numbering for linear system More... | |
| Input::Record | in_rec_ |
Additional Inherited Members | |
| Public Types inherited from LinSys_PETSC | |
| typedef LinSys | FactoryBaseType |
| Public Types inherited from LinSys | |
| enum | SetValuesMode { INSERT =INSERT_VALUES, ADD =ADD_VALUES, ALLOCATE, DONE, NONE } |
| Static Public Member Functions inherited from LinSys_PETSC | |
| static const Input::Type::Record & | get_input_type () |
| Static Public Member Functions inherited from LinSys | |
| static Input::Type::Abstract & | get_input_type () |
| Protected Types inherited from LinSys | |
| typedef std::pair< unsigned, double > | Constraint_ |
| typedef std::vector< Constraint_ > | ConstraintVec_ |
| Static Protected Attributes inherited from LinSys | |
| static constexpr double | default_r_tol_ = 1e-7 |
| static constexpr double | default_a_tol_ = 1e-11 |
| static constexpr unsigned int | default_max_it_ = 1000 |
Detailed Description
Constructor & Destructor Documentation
| SchurComplement::SchurComplement | ( | IS | ia, |
| Distribution * | ds | ||
| ) |
Constructor
Gets linear system with original matrix A and creates its inversion (IA matrix)
In current implementation the index set IsA has to be continuous sequence at the beginning of the local block of indices.
Create Schur complement system.
- Parameters
-
[in] orig : original system [in] inv_a : inversion of the A block [in] ia : index set of the A block, default continuous given by inv_a: proc 1 2 3
Orig: ****** ****** **** IA : *** ** ***
| SchurComplement::SchurComplement | ( | SchurComplement & | other | ) |
| SchurComplement::~SchurComplement | ( | ) |
Destructor. In particular it also delete complement linear system if it was passed in through the set_complement() method.
SCHUR COMPLEMENT destructor
Member Function Documentation
|
overridevirtual |
The solve or resolve must be called prior to computing the residual.
Reimplemented from LinSys_PETSC.
|
protected |
| void SchurComplement::form_rhs | ( | ) |
Compute only right hand side. This is useful when you change only rhs of the original system. TODO: We should ask original system if the matrix has changed (using LazyDependency) and possibly call only form_rhs, then this can be protected
Definition at line 233 of file schur.cc.
|
protected |
COMPUTE A SCHUR COMPLEMENT OF A PETSC MATRIX
given symmetric original matrix Orig has form A B x_1 RHS_1 B' C * x_2 = RHS_2 where the first block is given by index set IsA, and the second block by IsB user has to provide inverse IA of the A-block we suppose that original matrix have non-zero pattern for the schur complement
we return: Shur - schur complement, ShurRHS - RHS of the complemented system: (B' * IA * B - C) * x_2 = (B' * IA * RHS_1 - RHS_2) IAB - a matrix to compute eliminated part of the solution: x_1 = IA * RHS_1 - IAB * x_2
Actually as B' is stored separetly, the routine can be used also for nonsymetric original system
Definition at line 138 of file schur.cc.
|
inline |
Returns distribution of the original system (solved by class SchurComplement).
|
overridevirtual |
|
inline |
| Distribution * SchurComplement::make_complement_distribution | ( | ) |
| void SchurComplement::resolve | ( | ) |
Only resolve the system with current solution vector. This is necessary for nonlinear solvers.
- If matrix and/or rhs is changed the Schur complement is formed.
- Resolve is called to reconstruct eliminated part of the solution vector.
COMPUTE ELIMINATED PART OF THE ORIG. SYS. & RESTORE RHS and SOLUTION VECTORS x_1 = IA * RHS_1 - IAB * x_2
Definition at line 374 of file schur.cc.
| void SchurComplement::set_complement | ( | LinSys_PETSC * | ls | ) |
|
overridevirtual |
Sets specific parameters defined by user in input file and used to calculate. Call set_from_input of complement
Reimplemented from LinSys_PETSC.
|
overridevirtual |
Set relative tolerance, absolute tolerance, and maximum number of iterations of the linear solver.
For each of these three parameters we first look for the value at user input if not set we use the value provided to this method and finally the default values are set by the call of this method in the constructor.
Reimplemented from LinSys_PETSC.
|
overridevirtual |
Solve the system.
- If matrix and/or rhs is changed the Schur complement is formed.
- The inner linear solver is called for the Schur complement
- Resolve is called to reconstruct eliminated part of the solution vector.
Reimplemented from LinSys_PETSC.
Member Data Documentation
|
protected |
|
protected |
|
protected |
|
protected |
The documentation for this class was generated from the following files:
