Iterative Solvers supporting block recursive matrix and vector classes at compile time.
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class | Dune::ILUSubdomainSolver< M, X, Y > |
| base class encapsulating common algorithms of ILU0SubdomainSolver and ILUNSubdomainSolver. More...
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class | Dune::ILU0SubdomainSolver< M, X, Y > |
| Exact subdomain solver using ILU(p) with appropriate p. More...
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class | Dune::ILUNSubdomainSolver< M, X, Y > |
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class | Dune::ISTLError |
| derive error class from the base class in common More...
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class | Dune::BCRSMatrixError |
| Error specific to BCRSMatrix. More...
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class | Dune::ImplicitModeOverflowExhausted |
| The overflow error used during implicit BCRSMatrix construction was exhausted. More...
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singleton | Dune::SuperLU< Matrix > |
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singleton | Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA > |
| Sequential overlapping Schwarz preconditioner. More...
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struct | Dune::SeqOverlappingSchwarzAssemblerHelper< T, tag > |
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struct | Dune::SuperLUSolveChooser< T > |
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struct | Dune::SuperLUDenseMatChooser< T > |
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struct | Dune::SuperLUQueryChooser< T > |
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struct | Dune::QuerySpaceChooser< T > |
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struct | Dune::SuperLUDenseMatChooser< double > |
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struct | Dune::SuperLUSolveChooser< double > |
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struct | Dune::QuerySpaceChooser< double > |
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class | Dune::SuperLU< BCRSMatrix< FieldMatrix< T, n, m >, A > > |
| SuperLu Solver. More...
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class | Dune::UMFPack< Matrix > |
| Use the UMFPack package to directly solve linear systems – empty default class. More...
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struct | Dune::UMFPackMethodChooser< T > |
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struct | Dune::UMFPackMethodChooser< double > |
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struct | Dune::UMFPackMethodChooser< std::complex< double > > |
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class | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > > |
| The UMFPack direct sparse solver for matrices of type BCRSMatrix. More...
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struct | Dune::IsDirectSolver< UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > > > |
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struct | Dune::StoresColumnCompressed< UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > > > |
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typedef Dune::BCRSMatrix
< FieldMatrix< T, n, m >, A > | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::Matrix |
| The matrix type. More...
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typedef Dune::BCRSMatrix
< FieldMatrix< T, n, m >, A > | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::matrix_type |
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typedef Dune::ColCompMatrix
< Matrix > | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::UMFPackMatrix |
| The corresponding SuperLU Matrix type. More...
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typedef
ColCompMatrixInitializer
< BCRSMatrix< FieldMatrix< T,
n, m >, A > > | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::MatrixInitializer |
| Type of an associated initializer class. More...
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typedef Dune::BlockVector
< FieldVector< T, m >
, typename A::template rebind
< FieldVector< T, m > >::other > | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::domain_type |
| The type of the domain of the solver. More...
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typedef Dune::BlockVector
< FieldVector< T, n >
, typename A::template rebind
< FieldVector< T, n > >::other > | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::range_type |
| The type of the range of the solver. More...
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< double >::defaults (A...args) |
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< double >::free_numeric (A...args) |
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< double >::free_symbolic (A...args) |
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template<typename... A> |
static int | Dune::UMFPackMethodChooser< double >::load_numeric (A...args) |
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< double >::numeric (A...args) |
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< double >::report_info (A...args) |
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< double >::report_status (A...args) |
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template<typename... A> |
static int | Dune::UMFPackMethodChooser< double >::save_numeric (A...args) |
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< double >::solve (A...args) |
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< double >::symbolic (A...args) |
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< std::complex< double > >::defaults (A...args) |
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< std::complex< double > >::free_numeric (A...args) |
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< std::complex< double > >::free_symbolic (A...args) |
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template<typename... A> |
static int | Dune::UMFPackMethodChooser< std::complex< double > >::load_numeric (A...args) |
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< std::complex< double > >::numeric (const int *cs, const int *ri, const double *val, A...args) |
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< std::complex< double > >::report_info (A...args) |
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< std::complex< double > >::report_status (A...args) |
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template<typename... A> |
static int | Dune::UMFPackMethodChooser< std::complex< double > >::save_numeric (A...args) |
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< std::complex< double > >::solve (int m, const int *cs, const int *ri, std::complex< double > *val, double *x, const double *b, A...args) |
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template<typename... A> |
static void | Dune::UMFPackMethodChooser< std::complex< double > >::symbolic (int m, int n, const int *cs, const int *ri, const double *val, A...args) |
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| Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::UMFPack (const Matrix &matrix, int verbose=0) |
| Construct a solver object from a BCRSMatrix. More...
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| Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::UMFPack (const Matrix &matrix, int verbose, bool) |
| Constructor for compatibility with SuperLU standard constructor. More...
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| Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::UMFPack () |
| default constructor More...
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| Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::UMFPack (const Matrix &mat_, const char *file, int verbose=0) |
| Try loading a decomposition from file and do a decomposition if unsuccessful. More...
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| Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::UMFPack (const char *file, int verbose=0) |
| try loading a decomposition from file More...
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virtual | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::~UMFPack () |
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virtual void | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply (domain_type &x, range_type &b, InverseOperatorResult &res) |
| Apply inverse operator,. More...
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virtual void | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply (domain_type &x, range_type &b, double reduction, InverseOperatorResult &res) |
| apply inverse operator, with given convergence criteria. More...
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void | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply (T *x, T *b) |
| additional apply method with c-arrays in analogy to superlu More...
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void | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setOption (unsigned int option, double value) |
| Set UMFPack-specific options. More...
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void | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::saveDecomposition (const char *file) |
| saves a decomposition to a file More...
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void | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setMatrix (const Matrix &matrix) |
| Initialize data from given matrix. More...
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template<class S > |
void | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setSubMatrix (const Matrix &_mat, const S &rowIndexSet) |
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void | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setVerbosity (int v) |
| sets the verbosity level for the UMFPack solver More...
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void | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::free () |
| free allocated space. More...
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const char * | Dune::UMFPack< BCRSMatrix< FieldMatrix< T, n, m >, A > >::name () |
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template<class S > |
std::size_t | Dune::ILUSubdomainSolver< M, X, Y >::copyToLocalMatrix (const M &A, S &rowset) |
| Copy the local part of the global matrix to ILU. More...
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template<class S > |
void | Dune::ILU0SubdomainSolver< M, X, Y >::setSubMatrix (const M &A, S &rowset) |
| Set the data of the local problem. More...
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template<class S > |
void | Dune::ILUNSubdomainSolver< M, X, Y >::setSubMatrix (const M &A, S &rowset) |
| Set the data of the local problem. More...
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| Dune::SuperLU< BCRSMatrix< FieldMatrix< T, n, m >, A > >::~SuperLU () |
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void | Dune::SuperLU< BCRSMatrix< FieldMatrix< T, n, m >, A > >::free () |
| free allocated space. More...
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| Dune::SuperLU< BCRSMatrix< FieldMatrix< T, n, m >, A > >::SuperLU (const Matrix &mat, bool verbose=false, bool reusevector=true) |
| Constructs the SuperLU solver. More...
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| Dune::SuperLU< BCRSMatrix< FieldMatrix< T, n, m >, A > >::SuperLU () |
| Empty default constructor. More...
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void | Dune::SuperLU< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setVerbosity (bool v) |
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void | Dune::SuperLU< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setMatrix (const Matrix &mat) |
| Initialize data from given matrix. More...
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template<class S > |
void | Dune::SuperLU< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setSubMatrix (const Matrix &mat, const S &rowIndexSet) |
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void | Dune::SuperLU< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply (domain_type &x, range_type &b, InverseOperatorResult &res) |
| Apply inverse operator,. More...
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void | Dune::SuperLU< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply (T *x, T *b) |
| Apply SuperLu to C arrays. More...
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Iterative Solvers supporting block recursive matrix and vector classes at compile time.
The Iterative Solver Template Library applies generic programming in C++ to the domain of iterative solvers of linear systems stemming from finite element discretizations. Those discretizations exhibit a lot of structure, e.g:
Our matrix and vector interface supports a block recursive structure. Each sparse matrix entry can itself be either a sparse or a small dense matrix.
The solvers use this recursive block structure via template meta programming at compile time.