Reference documentation for deal.II version 9.3.3
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Modules | |
SLEPcWrappers | |
Namespaces | |
namespace | PETScWrappers |
namespace | PETScWrappers::MPI |
namespace | internal |
namespace | internal::LinearOperatorImplementation |
The classes in this module are wrappers around functionality provided by the PETSc library. They provide a modern object-oriented interface that is compatible with the interfaces of the other linear algebra classes in deal.II. All classes and functions in this group reside in a namespace PETScWrappers
.
These classes are only available if a PETSc installation was detected during configuration of deal.II. Refer to the README file for more details about this.
Typedef the base class for simpler access to its own alias.
Definition at line 72 of file petsc_block_sparse_matrix.h.
Typedef the type of the underlying matrix.
Definition at line 77 of file petsc_block_sparse_matrix.h.
Import the alias from the base class.
Definition at line 82 of file petsc_block_sparse_matrix.h.
Definition at line 83 of file petsc_block_sparse_matrix.h.
Definition at line 84 of file petsc_block_sparse_matrix.h.
Definition at line 85 of file petsc_block_sparse_matrix.h.
Definition at line 86 of file petsc_block_sparse_matrix.h.
Definition at line 87 of file petsc_block_sparse_matrix.h.
Definition at line 88 of file petsc_block_sparse_matrix.h.
Definition at line 89 of file petsc_block_sparse_matrix.h.
Typedef the base class for simpler access to its own alias.
Definition at line 66 of file petsc_block_vector.h.
Typedef the type of the underlying vector.
Definition at line 71 of file petsc_block_vector.h.
Import the alias from the base class.
Definition at line 76 of file petsc_block_vector.h.
Definition at line 77 of file petsc_block_vector.h.
Definition at line 78 of file petsc_block_vector.h.
Definition at line 79 of file petsc_block_vector.h.
Definition at line 80 of file petsc_block_vector.h.
Definition at line 81 of file petsc_block_vector.h.
Definition at line 82 of file petsc_block_vector.h.
Definition at line 83 of file petsc_block_vector.h.
Declare type for container size.
Definition at line 54 of file petsc_full_matrix.h.
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default |
Constructor; initializes the matrix to be empty, without any structure, i.e. the matrix is not usable at all. This constructor is therefore only useful for matrices which are members of a class. All other matrices should be created at a point in the data flow where all necessary information is available.
You have to initialize the matrix before usage with reinit(BlockSparsityPattern). The number of blocks per row and column are then determined by that function.
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overridedefault |
Destructor.
BlockSparseMatrix & BlockSparseMatrix< number >::operator= | ( | const BlockSparseMatrix & | m | ) |
Pseudo copy operator only copying empty objects. The sizes of the block matrices need to be the same.
Definition at line 27 of file petsc_parallel_block_sparse_matrix.cc.
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inline |
This operator assigns a scalar to a matrix. Since this does usually not make much sense (should we set all matrix entries to this value? Only the nonzero entries of the sparsity pattern?), this operation is only allowed if the actual value to be assigned is zero. This operator only exists to allow for the obvious notation matrix=0
, which sets all elements of the matrix to zero, but keep the sparsity pattern previously used.
Definition at line 274 of file petsc_block_sparse_matrix.h.
void PETScWrappers::MPI::BlockSparseMatrix::reinit | ( | const size_type | n_block_rows, |
const size_type | n_block_columns | ||
) |
Resize the matrix, by setting the number of block rows and columns. This deletes all blocks and replaces them with uninitialized ones, i.e. ones for which also the sizes are not yet set. You have to do that by calling the reinit
functions of the blocks themselves. Do not forget to call collect_sizes() after that on this object.
The reason that you have to set sizes of the blocks yourself is that the sizes may be varying, the maximum number of elements per row may be varying, etc. It is simpler not to reproduce the interface of the SparsityPattern class here but rather let the user call whatever function they desire.
void BlockSparseMatrix< number >::reinit | ( | const std::vector< IndexSet > & | rows, |
const std::vector< IndexSet > & | cols, | ||
const BlockDynamicSparsityPattern & | bdsp, | ||
const MPI_Comm & | com | ||
) |
Efficiently reinit the block matrix for a parallel computation. Only the BlockSparsityPattern of the Simple type can efficiently store large sparsity patterns in parallel, so this is the only supported argument. The IndexSets describe the locally owned range of DoFs for each block. Note that the IndexSets needs to be ascending and 1:1. For a symmetric structure hand in the same vector for the first two arguments.
Definition at line 60 of file petsc_parallel_block_sparse_matrix.cc.
void BlockSparseMatrix< number >::reinit | ( | const std::vector< IndexSet > & | sizes, |
const BlockDynamicSparsityPattern & | bdsp, | ||
const MPI_Comm & | com | ||
) |
Same as above but for a symmetric structure only.
Definition at line 99 of file petsc_parallel_block_sparse_matrix.cc.
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inline |
Matrix-vector multiplication: let \(dst = M*src\) with \(M\) being this matrix.
Definition at line 288 of file petsc_block_sparse_matrix.h.
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inline |
Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block column.
Definition at line 296 of file petsc_block_sparse_matrix.h.
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inline |
Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block row.
Definition at line 304 of file petsc_block_sparse_matrix.h.
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inline |
Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block.
Definition at line 312 of file petsc_block_sparse_matrix.h.
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inline |
Matrix-vector multiplication: let \(dst = M^T*src\) with \(M\) being this matrix. This function does the same as vmult() but takes the transposed matrix.
Definition at line 319 of file petsc_block_sparse_matrix.h.
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inline |
Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block row.
Definition at line 327 of file petsc_block_sparse_matrix.h.
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inline |
Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block column.
Definition at line 335 of file petsc_block_sparse_matrix.h.
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inline |
Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block.
Definition at line 343 of file petsc_block_sparse_matrix.h.
void BlockSparseMatrix< number >::collect_sizes | ( | ) |
This function collects the sizes of the sub-objects and stores them in internal arrays, in order to be able to relay global indices into the matrix to indices into the subobjects. You must call this function each time after you have changed the size of the sub- objects.
Definition at line 109 of file petsc_parallel_block_sparse_matrix.cc.
std::vector< IndexSet > BlockSparseMatrix< number >::locally_owned_domain_indices | ( | ) | const |
Return the partitioning of the domain space of this matrix, i.e., the partitioning of the vectors this matrix has to be multiplied with.
Definition at line 115 of file petsc_parallel_block_sparse_matrix.cc.
std::vector< IndexSet > BlockSparseMatrix< number >::locally_owned_range_indices | ( | ) | const |
Return the partitioning of the range space of this matrix, i.e., the partitioning of the vectors that are result from matrix-vector products.
Definition at line 126 of file petsc_parallel_block_sparse_matrix.cc.
const MPI_Comm & BlockSparseMatrix< number >::get_mpi_communicator | ( | ) | const |
Return a reference to the MPI communicator object in use with this matrix.
Definition at line 137 of file petsc_parallel_block_sparse_matrix.cc.
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default |
Default constructor. Generate an empty vector without any blocks.
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inlineexplicit |
Constructor. Generate a block vector with n_blocks
blocks, each of which is a parallel vector across communicator
with block_size
elements of which locally_owned_size
elements are stored on the present process.
Definition at line 292 of file petsc_block_vector.h.
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inline |
Copy constructor. Set all the properties of the parallel vector to those of the given argument and copy the elements.
Definition at line 311 of file petsc_block_vector.h.
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inline |
Constructor. Set the number of blocks to block_sizes.size()
and initialize each block with block_sizes[i]
zero elements. The individual blocks are distributed across the given communicator, and each store local_elements[i]
elements on the present process.
Definition at line 302 of file petsc_block_vector.h.
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inlineexplicit |
Create a BlockVector with parallel_partitioning.size() blocks, each initialized with the given IndexSet.
Definition at line 321 of file petsc_block_vector.h.
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inline |
Same as above, but include ghost elements
Definition at line 328 of file petsc_block_vector.h.
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overridedefault |
Destructor. Clears memory
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inline |
Copy operator: fill all components of the vector that are locally stored with the given scalar value.
Definition at line 337 of file petsc_block_vector.h.
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inline |
Copy operator for arguments of the same type.
Definition at line 344 of file petsc_block_vector.h.
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inline |
Reinitialize the BlockVector to contain n_blocks
of size block_size
, each of which stores locally_owned_size
elements locally. The communicator
argument denotes which MPI channel each of these blocks shall communicate.
If omit_zeroing_entries==false
, the vector is filled with zeros.
Definition at line 365 of file petsc_block_vector.h.
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inline |
Reinitialize the BlockVector such that it contains block_sizes.size()
blocks. Each block is reinitialized to dimension block_sizes[i]
. Each of them stores locally_owned_sizes[i]
elements on the present process.
If the number of blocks is the same as before this function was called, all vectors remain the same and reinit() is called for each vector.
If omit_zeroing_entries==false
, the vector is filled with zeros.
Note that you must call this (or the other reinit() functions) function, rather than calling the reinit() functions of an individual block, to allow the block vector to update its caches of vector sizes. If you call reinit() of one of the blocks, then subsequent actions on this object may yield unpredictable results since they may be routed to the wrong block.
Definition at line 380 of file petsc_block_vector.h.
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inline |
Change the dimension to that of the vector V
. The same applies as for the other reinit() function.
The elements of V
are not copied, i.e. this function is the same as calling reinit (V.size(), omit_zeroing_entries)
.
Note that you must call this (or the other reinit() functions) function, rather than calling the reinit() functions of an individual block, to allow the block vector to update its caches of vector sizes. If you call reinit() on one of the blocks, then subsequent actions on this object may yield unpredictable results since they may be routed to the wrong block.
Definition at line 398 of file petsc_block_vector.h.
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inline |
Reinitialize the BlockVector using IndexSets. See the constructor with the same arguments for details.
Definition at line 409 of file petsc_block_vector.h.
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inline |
Same as above but include ghost entries.
Definition at line 425 of file petsc_block_vector.h.
void BlockVector< Number >::reinit | ( | const unsigned int | num_blocks | ) |
Change the number of blocks to num_blocks
. The individual blocks will get initialized with zero size, so it is assumed that the user resizes the individual blocks by herself in an appropriate way, and calls collect_sizes
afterwards.
Definition at line 29 of file petsc_parallel_block_vector.cc.
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inline |
Return if this vector is a ghosted vector (and thus read-only).
Definition at line 452 of file petsc_block_vector.h.
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inline |
Return a reference to the MPI communicator object in use with this vector.
Definition at line 446 of file petsc_block_vector.h.
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inline |
Swap the contents of this vector and the other vector v
. One could do this operation with a temporary variable and copying over the data elements, but this function is significantly more efficient since it only swaps the pointers to the data of the two vectors and therefore does not need to allocate temporary storage and move data around.
Limitation: right now this function only works if both vectors have the same number of blocks. If needed, the numbers of blocks should be exchanged, too.
This function is analogous to the swap() function of all C++ standard containers. Also, there is a global function swap(u,v) that simply calls u.swap(v)
, again in analogy to standard functions.
Definition at line 464 of file petsc_block_vector.h.
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inline |
Print to a stream.
Definition at line 474 of file petsc_block_vector.h.
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inline |
Global function which overloads the default implementation of the C++ standard library which uses a temporary object. The function simply exchanges the data of the two vectors.
Definition at line 499 of file petsc_block_vector.h.
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inlinestatic |
Definition at line 525 of file petsc_block_vector.h.
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inlinestatic |
Definition at line 535 of file petsc_block_vector.h.
FullMatrix< number >::FullMatrix | ( | ) |
Default constructor. Create an empty matrix.
Definition at line 27 of file petsc_full_matrix.cc.
FullMatrix< number >::FullMatrix | ( | const size_type | m, |
const size_type | n | ||
) |
Create a full matrix of dimensions m
times n
.
Definition at line 33 of file petsc_full_matrix.cc.
void FullMatrix< number >::reinit | ( | const size_type | m, |
const size_type | n | ||
) |
Throw away the present matrix and generate one that has the same properties as if it were created by the constructor of this class with the same argument list as the present function.
Definition at line 39 of file petsc_full_matrix.cc.
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overridevirtual |
Return a reference to the MPI communicator object in use with this matrix. Since this is a sequential matrix, it returns the MPI_COMM_SELF communicator.
Implements PETScWrappers::MatrixBase.
Definition at line 61 of file petsc_full_matrix.cc.
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private |
Do the actual work for the respective reinit() function and the matching constructor, i.e. create a matrix. Getting rid of the previous matrix is left to the caller.
Definition at line 50 of file petsc_full_matrix.cc.
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related |
Global function which overloads the default implementation of the C++ standard library which uses a temporary object. The function simply exchanges the data of the two vectors.
Definition at line 499 of file petsc_block_vector.h.