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// $Id: assembler.h 30036 2013-07-18 16:55:32Z maier $
//
// Copyright (C) 2010 - 2013 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, redistribute
// it, and/or modify it under the terms of the GNU Lesser General
// Public License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE at
// the top level of the deal.II distribution.
//
// ---------------------------------------------------------------------
#ifndef __deal2__mesh_worker_assembler_h
#define __deal2__mesh_worker_assembler_h
#include <deal.II/base/named_data.h>
#include <deal.II/base/smartpointer.h>
#include <deal.II/base/mg_level_object.h>
#include <deal.II/lac/block_vector.h>
#include <deal.II/meshworker/dof_info.h>
#include <deal.II/meshworker/functional.h>
#include <deal.II/meshworker/simple.h>
#include <deal.II/multigrid/mg_constrained_dofs.h>
DEAL_II_NAMESPACE_OPEN
namespace MeshWorker
{
/**
* The namespace containing objects that can be used to assemble data
* computed on cells and faces into global objects. This can reach
* from collecting the total error estimate from cell and face
* contributions to assembling matrices and multilevel matrices.
*
* <h3>Data models</h3>
*
* The class chosen from this namespace determines which data model is
* used. For the local as well as the global objects, we have the
* choice between two models:
*
* <h4>The comprehensive data model</h4>
*
* This is the structure set up by the FESystem class. Globally, this
* means, data is assembled into one residual vector and into one
* matrix. These objects may be block vectors and block matrices, but
* the process of assembling ignores this fact.
*
* Similarly, there is only a single cell vector and cell matrix,
* respectively, which is indexed by all degrees of freedom of the
* FESystem. When building the cell matrix, it is necessary to
* distinguish between the different components of the system and
* select the right operator for each pair.
*
* <h4>The blocked data model</h4>
*
* Here, all the blocks are treated separately (in spite of using
* FESystem for its convenience in other places). For instance, no
* block matrix is assembled, but a list of blocks, which can be
* combined later by BlockMatrixArray. Locally, this means, that each
* matrix block of a system is generated separately and assembled into
* the corresponding global block.
*
* This approach is advantageous, if the number of matrices for each
* block position in the global system is different. For instance,
* block preconditioners for the Oseen problem require 3 pressure
* matrices, but only one divergence and one advection-diffusion
* operator for velocities.
*
* Additionally, this approach enables the construction of a system of
* equations from building blocks for each equation and coupling
* operator.
*
* Nevertheless, since a separate FEValues object must be created for
* each base element, it is not quite clear a priori, which data model
* is more efficient.
*
* @ingroup MeshWorker
* @author Guido Kanschat, 2009
*/
namespace Assembler
{
/**
* Assemble local residuals into global residuals.
*
* The global residuals are expected as an FEVectors object.
* The local residuals are block vectors.
*
* Depending on whether the BlockInfo object was initialize with
* BlockInfo::initialize_local(), the comprehensive or block data
* model is used locally.
*
* In the block model, each of the blocks of the local vectors
* corresponds to the restriction of a single block of the system to
* this cell (@ref GlossBlock). Thus, the size of this local block is
* the number of degrees of freedom of the corresponding base element
* of the FESystem.
*
* @todo Comprehensive model currently not implemented.
*
* @ingroup MeshWorker
* @author Guido Kanschat, 2009
*/
template <class VECTOR>
class ResidualLocalBlocksToGlobalBlocks
{
public:
/**
* Copy the BlockInfo and the
* matrix pointers into local
* variables.
*/
void initialize(const BlockInfo *block_info,
NamedData<VECTOR *> &residuals);
/**
* Initialize the constraints.
*/
void initialize(const ConstraintMatrix &constraints);
/**
* Initialize the local data
* in the
* DoFInfo
* object used later for
* assembling.
*
* The info object refers to
* a cell if
* <code>!face</code>, or
* else to an interior or
* boundary face.
*/
template <class DOFINFO>
void initialize_info(DOFINFO &info, bool face) const;
/**
* Assemble the local residuals
* into the global residuals.
*/
template<class DOFINFO>
void assemble(const DOFINFO &info);
/**
* Assemble both local residuals
* into the global residuals.
*/
template<class DOFINFO>
void assemble(const DOFINFO &info1,
const DOFINFO &info2);
private:
/**
* Assemble a single local
* residual into the global.
*/
void assemble(VECTOR &global,
const BlockVector<double> &local,
const std::vector<types::global_dof_index> &dof);
/**
* The global matrices,
* stored as a vector of
* pointers.
*/
NamedData<SmartPointer<VECTOR,
ResidualLocalBlocksToGlobalBlocks<VECTOR> > > residuals;
/**
* A pointer to the object containing the block structure.
*/
SmartPointer<const BlockInfo,
ResidualLocalBlocksToGlobalBlocks<VECTOR> > block_info;
/**
* A pointer to the object containing constraints.
*/
SmartPointer<const ConstraintMatrix,
ResidualLocalBlocksToGlobalBlocks<VECTOR> > constraints;
};
/**
* A helper class assembling local matrices into global matrices.
*
* The global matrices are expected as a vector of MatrixBlock
* objects, each containing a matrix object with a function
* corresponding to SparseMatrix::add() and information on the block
* row and column this matrix represents in a block system.
*
* The local matrices are expected as a similar vector of MatrixBlock
* objects, but containing a FullMatrix.
*
* Like with ResidualLocalBlocksToGlobalBlocks, the initialization of
* the BlockInfo object decides whether the comprehensive data model
* or the block model is used.
*
* In the comprehensive model, each of the LocalMatrixBlocks has
* coordinates (0,0) and dimensions equal to the number of degrees of
* freedom of the FESystem.
*
* In the comprehensive model, each block has its own block
* coordinates and the size depends on the associated
* FESystem::base_element(). These blocks can be generated separately
* and will be assembled into the correct matrix block by this object.
*
* @ingroup MeshWorker
* @author Guido Kanschat, 2009
*/
template <class MATRIX, typename number = double>
class MatrixLocalBlocksToGlobalBlocks
{
public:
/**
* Constructor, initializing
* the #threshold, which
* limits how small numbers
* may be to be entered into
* the matrix.
*/
MatrixLocalBlocksToGlobalBlocks(double threshold = 1.e-12);
/**
* Copy the BlockInfo and the
* matrix pointers into local
* variables and initialize
* cell matrix vectors.
*/
void initialize(const BlockInfo *block_info,
MatrixBlockVector<MATRIX> &matrices);
/**
* Initialize the constraints.
*/
void initialize(const ConstraintMatrix &constraints);
/**
* Initialize the local data
* in the
* DoFInfo
* object used later for
* assembling.
*
* The info object refers to
* a cell if
* <code>!face</code>, or
* else to an interior or
* boundary face.
*/
template <class DOFINFO>
void initialize_info(DOFINFO &info, bool face) const;
/**
* Assemble the local matrices
* into the global matrices.
*/
template<class DOFINFO>
void assemble(const DOFINFO &info);
/**
* Assemble all local matrices
* into the global matrices.
*/
template<class DOFINFO>
void assemble(const DOFINFO &info1,
const DOFINFO &info2);
private:
/**
* Assemble a single local
* matrix into a global one.
*/
void assemble(
MatrixBlock<MATRIX> &global,
const FullMatrix<number> &local,
const unsigned int block_row,
const unsigned int block_col,
const std::vector<types::global_dof_index> &dof1,
const std::vector<types::global_dof_index> &dof2);
/**
* The global matrices,
* stored as a vector of
* pointers.
*/
SmartPointer<MatrixBlockVector<MATRIX>,
MatrixLocalBlocksToGlobalBlocks<MATRIX, number> > matrices;
/**
* A pointer to the object containing the block structure.
*/
SmartPointer<const BlockInfo,
MatrixLocalBlocksToGlobalBlocks<MATRIX, number> > block_info;
/**
* A pointer to the object containing constraints.
*/
SmartPointer<const ConstraintMatrix,
MatrixLocalBlocksToGlobalBlocks<MATRIX,number> > constraints;
/**
* The smallest positive
* number that will be
* entered into the global
* matrix. All smaller
* absolute values will be
* treated as zero and will
* not be assembled.
*/
const double threshold;
};
/**
* A helper class assembling local matrices into global multilevel
* matrices. This class is the multilevel equivalent of
* MatrixLocalBlocksToGlobalBlocks and documentation of that class
* applies here to a large extend.
*
* The global matrices are expected as a vector of pointers to MatrixBlock
* objects, each containing a MGLevelObject with matrices with a function
* corresponding to SparseMatrix::add() and information on the block
* row and column this matrix represents in a block system.
*
* The local matrices are a similar vector of MatrixBlock objects, but
* containing a FullMatrix.
*
* If local refinement occurs, the Multigrid method needs more
* matrices, two for continuous elements and another two if numerical
* fluxes are computed on interfaces. The second set can be added
* using initialize_edge_flux(). Once added, the contributions in all
* participating matrices will be assembled from the cell and face
* matrices automatically.
*
* @ingroup MeshWorker
* @author Guido Kanschat, 2009
*/
template <class MATRIX, typename number = double>
class MGMatrixLocalBlocksToGlobalBlocks
{
public:
typedef MGMatrixBlockVector<MATRIX> MatrixPtrVector;
typedef SmartPointer<MatrixPtrVector, MGMatrixLocalBlocksToGlobalBlocks<MATRIX,number> >
MatrixPtrVectorPtr;
/**
* Constructor, initializing
* the #threshold, which
* limits how small numbers
* may be to be entered into
* the matrix.
*/
MGMatrixLocalBlocksToGlobalBlocks(double threshold = 1.e-12);
/**
* Copy the BlockInfo and the
* matrix pointers into local
* variables and initialize
* cell matrix vectors.
*/
void initialize(const BlockInfo *block_info,
MatrixPtrVector &matrices);
/**
* Initialize the multilevel
* constraints.
*/
void initialize(const MGConstrainedDoFs &mg_constrained_dofs);
/**
* Multigrid methods on
* locally refined meshes
* need additional
* matrices. For
* discontinuous Galerkin
* methods, these are two
* flux matrices across the
* refinement edge, which are
* set by this method.
*/
void initialize_edge_flux(MatrixPtrVector &up, MatrixPtrVector &down);
/**
* Multigrid methods on
* locally refined meshes
* need additional
* matrices. For
* discontinuous Galerkin
* methods, these are two
* flux matrices across the
* refinement edge, which are
* set by this method.
*/
void initialize_interfaces (MatrixPtrVector &interface_in, MatrixPtrVector &interface_out);
/**
* Initialize the local data
* in the
* DoFInfo
* object used later for
* assembling.
*
* The info object refers to
* a cell if
* <code>!face</code>, or
* else to an interior or
* boundary face.
*/
template <class DOFINFO>
void initialize_info(DOFINFO &info, bool face) const;
/**
* Assemble the local matrices
* into the global matrices.
*/
template<class DOFINFO>
void assemble(const DOFINFO &info);
/**
* Assemble all local matrices
* into the global matrices.
*/
template<class DOFINFO>
void assemble(const DOFINFO &info1,
const DOFINFO &info2);
private:
/**
* Assemble a single local
* matrix into a global one.
*/
void assemble(
MATRIX &global,
const FullMatrix<number> &local,
const unsigned int block_row,
const unsigned int block_col,
const std::vector<types::global_dof_index> &dof1,
const std::vector<types::global_dof_index> &dof2,
const unsigned int level1,
const unsigned int level2,
bool transpose = false);
/**
* Assemble a single local
* matrix into a global one.
*/
void assemble_fluxes(
MATRIX &global,
const FullMatrix<number> &local,
const unsigned int block_row,
const unsigned int block_col,
const std::vector<types::global_dof_index> &dof1,
const std::vector<types::global_dof_index> &dof2,
const unsigned int level1,
const unsigned int level2);
/**
* Assemble a single local
* matrix into a global one.
*/
void assemble_up(
MATRIX &global,
const FullMatrix<number> &local,
const unsigned int block_row,
const unsigned int block_col,
const std::vector<types::global_dof_index> &dof1,
const std::vector<types::global_dof_index> &dof2,
const unsigned int level1,
const unsigned int level2);
/**
* Assemble a single local
* matrix into a global one.
*/
void assemble_down(
MATRIX &global,
const FullMatrix<number> &local,
const unsigned int block_row,
const unsigned int block_col,
const std::vector<types::global_dof_index> &dof1,
const std::vector<types::global_dof_index> &dof2,
const unsigned int level1,
const unsigned int level2);
/**
* Assemble a single local
* matrix into a global one.
*/
void assemble_in(
MATRIX &global,
const FullMatrix<number> &local,
const unsigned int block_row,
const unsigned int block_col,
const std::vector<types::global_dof_index> &dof1,
const std::vector<types::global_dof_index> &dof2,
const unsigned int level1,
const unsigned int level2);
/**
* Assemble a single local
* matrix into a global one.
*/
void assemble_out(
MATRIX &global,
const FullMatrix<number> &local,
const unsigned int block_row,
const unsigned int block_col,
const std::vector<types::global_dof_index> &dof1,
const std::vector<types::global_dof_index> &dof2,
const unsigned int level1,
const unsigned int level2);
/**
* The level matrices,
* stored as a vector of
* pointers.
*/
MatrixPtrVectorPtr matrices;
/**
* The flux matrix between
* the fine and the coarse
* level at refinement edges.
*/
MatrixPtrVectorPtr flux_down;
/**
* The flux matrix between
* the coarse and the fine
* level at refinement edges.
*/
MatrixPtrVectorPtr flux_up;
/**
* The interface matrix between
* the fine and the coarse
* level at refinement edges.
*/
MatrixPtrVectorPtr interface_out;
/**
* The interface matrix between
* the coarse and the fine
* level at refinement edges.
*/
MatrixPtrVectorPtr interface_in;
/**
* A pointer to the object containing the block structure.
*/
SmartPointer<const BlockInfo, MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number> > block_info;
/**
* A pointer to the object containing constraints.
*/
SmartPointer<const MGConstrainedDoFs,MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number> > mg_constrained_dofs;
/**
* The smallest positive
* number that will be
* entered into the global
* matrix. All smaller
* absolute values will be
* treated as zero and will
* not be assembled.
*/
const double threshold;
};
//----------------------------------------------------------------------//
template <class VECTOR>
inline void
ResidualLocalBlocksToGlobalBlocks<VECTOR>::initialize(const BlockInfo *b,
NamedData<VECTOR *> &m)
{
block_info = b;
residuals = m;
}
template <class VECTOR>
inline void
ResidualLocalBlocksToGlobalBlocks<VECTOR>::initialize(
const ConstraintMatrix &c)
{
constraints = &c;
}
template <class VECTOR>
template <class DOFINFO>
inline void
ResidualLocalBlocksToGlobalBlocks<VECTOR>::initialize_info(
DOFINFO &info, bool) const
{
info.initialize_vectors(residuals.size());
}
template <class VECTOR>
inline void
ResidualLocalBlocksToGlobalBlocks<VECTOR>::assemble(
VECTOR &global,
const BlockVector<double> &local,
const std::vector<types::global_dof_index> &dof)
{
if (constraints == 0)
{
for (unsigned int b=0; b<local.n_blocks(); ++b)
for (unsigned int j=0; j<local.block(b).size(); ++j)
{
// The coordinates of
// the current entry in
// DoFHandler
// numbering, which
// differs from the
// block-wise local
// numbering we use in
// our local vectors
const unsigned int jcell = this->block_info->local().local_to_global(b, j);
global(dof[jcell]) += local.block(b)(j);
}
}
else
constraints->distribute_local_to_global(local, dof, global);
}
template <class VECTOR>
template <class DOFINFO>
inline void
ResidualLocalBlocksToGlobalBlocks<VECTOR>::assemble(
const DOFINFO &info)
{
for (unsigned int i=0; i<residuals.size(); ++i)
assemble(*residuals(i), info.vector(i), info.indices);
}
template <class VECTOR>
template <class DOFINFO>
inline void
ResidualLocalBlocksToGlobalBlocks<VECTOR>::assemble(
const DOFINFO &info1,
const DOFINFO &info2)
{
for (unsigned int i=0; i<residuals.size(); ++i)
{
assemble(*residuals(i), info1.vector(i), info1.indices);
assemble(*residuals(i), info2.vector(i), info2.indices);
}
}
//----------------------------------------------------------------------//
template <class MATRIX, typename number>
inline
MatrixLocalBlocksToGlobalBlocks<MATRIX, number>::MatrixLocalBlocksToGlobalBlocks(
double threshold)
:
threshold(threshold)
{}
template <class MATRIX, typename number>
inline void
MatrixLocalBlocksToGlobalBlocks<MATRIX, number>::initialize(
const BlockInfo *b,
MatrixBlockVector<MATRIX> &m)
{
block_info = b;
matrices = &m;
}
template <class MATRIX, typename number>
inline void
MatrixLocalBlocksToGlobalBlocks<MATRIX, number>::initialize(
const ConstraintMatrix &c)
{
constraints = &c;
}
template <class MATRIX ,typename number>
template <class DOFINFO>
inline void
MatrixLocalBlocksToGlobalBlocks<MATRIX, number>::initialize_info(
DOFINFO &info,
bool face) const
{
info.initialize_matrices(*matrices, face);
}
template <class MATRIX, typename number>
inline void
MatrixLocalBlocksToGlobalBlocks<MATRIX, number>::assemble(
MatrixBlock<MATRIX> &global,
const FullMatrix<number> &local,
const unsigned int block_row,
const unsigned int block_col,
const std::vector<types::global_dof_index> &dof1,
const std::vector<types::global_dof_index> &dof2)
{
if (constraints == 0)
{
for (unsigned int j=0; j<local.n_rows(); ++j)
for (unsigned int k=0; k<local.n_cols(); ++k)
if (std::fabs(local(j,k)) >= threshold)
{
// The coordinates of
// the current entry in
// DoFHandler
// numbering, which
// differs from the
// block-wise local
// numbering we use in
// our local matrices
const unsigned int jcell = this->block_info->local().local_to_global(block_row, j);
const unsigned int kcell = this->block_info->local().local_to_global(block_col, k);
global.add(dof1[jcell], dof2[kcell], local(j,k));
}
}
else
{
const BlockIndices &bi = this->block_info->local();
std::vector<types::global_dof_index> sliced_row_indices (bi.block_size(block_row));
for (unsigned int i=0; i<sliced_row_indices.size(); ++i)
sliced_row_indices[i] = dof1[bi.block_start(block_row)+i];
std::vector<types::global_dof_index> sliced_col_indices (bi.block_size(block_col));
for (unsigned int i=0; i<sliced_col_indices.size(); ++i)
sliced_col_indices[i] = dof2[bi.block_start(block_col)+i];
constraints->distribute_local_to_global(local,
sliced_row_indices, sliced_col_indices, global);
}
}
template <class MATRIX, typename number>
template <class DOFINFO>
inline void
MatrixLocalBlocksToGlobalBlocks<MATRIX, number>::assemble(
const DOFINFO &info)
{
for (unsigned int i=0; i<matrices->size(); ++i)
{
// Row and column index of
// the block we are dealing with
const types::global_dof_index row = matrices->block(i).row;
const types::global_dof_index col = matrices->block(i).column;
assemble(matrices->block(i), info.matrix(i,false).matrix, row, col, info.indices, info.indices);
}
}
template <class MATRIX, typename number>
template <class DOFINFO>
inline void
MatrixLocalBlocksToGlobalBlocks<MATRIX, number>::assemble(
const DOFINFO &info1,
const DOFINFO &info2)
{
for (unsigned int i=0; i<matrices->size(); ++i)
{
// Row and column index of
// the block we are dealing with
const types::global_dof_index row = matrices->block(i).row;
const types::global_dof_index col = matrices->block(i).column;
assemble(matrices->block(i), info1.matrix(i,false).matrix, row, col, info1.indices, info1.indices);
assemble(matrices->block(i), info1.matrix(i,true).matrix, row, col, info1.indices, info2.indices);
assemble(matrices->block(i), info2.matrix(i,false).matrix, row, col, info2.indices, info2.indices);
assemble(matrices->block(i), info2.matrix(i,true).matrix, row, col, info2.indices, info1.indices);
}
}
// ----------------------------------------------------------------------//
template <class MATRIX, typename number>
inline
MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number>::MGMatrixLocalBlocksToGlobalBlocks(
double threshold)
:
threshold(threshold)
{}
template <class MATRIX, typename number>
inline void
MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number>::initialize(
const BlockInfo *b,
MatrixPtrVector &m)
{
block_info = b;
AssertDimension(block_info->local().size(), block_info->global().size());
matrices = &m;
}
template <class MATRIX, typename number>
inline void
MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number>::initialize(
const MGConstrainedDoFs &mg_c)
{
mg_constrained_dofs = &mg_c;
}
template <class MATRIX ,typename number>
template <class DOFINFO>
inline void
MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number>::initialize_info(
DOFINFO &info,
bool face) const
{
info.initialize_matrices(*matrices, face);
}
template <class MATRIX, typename number>
inline void
MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number>::initialize_edge_flux(
MatrixPtrVector &up,
MatrixPtrVector &down)
{
flux_up = up;
flux_down = down;
}
template <class MATRIX, typename number>
inline void
MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number>::initialize_interfaces(
MatrixPtrVector &in,
MatrixPtrVector &out)
{
interface_in = in;
interface_out = out;
}
template <class MATRIX, typename number>
inline void
MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number>::assemble(
MATRIX &global,
const FullMatrix<number> &local,
const unsigned int block_row,
const unsigned int block_col,
const std::vector<types::global_dof_index> &dof1,
const std::vector<types::global_dof_index> &dof2,
const unsigned int level1,
const unsigned int level2,
bool transpose)
{
for (unsigned int j=0; j<local.n_rows(); ++j)
for (unsigned int k=0; k<local.n_cols(); ++k)
if (std::fabs(local(j,k)) >= threshold)
{
// The coordinates of
// the current entry in
// DoFHandler
// numbering, which
// differs from the
// block-wise local
// numbering we use in
// our local matrices
const unsigned int jcell = this->block_info->local().local_to_global(block_row, j);
const unsigned int kcell = this->block_info->local().local_to_global(block_col, k);
// The global dof
// indices to assemble
// in. Since we may
// have face matrices
// coupling two
// different cells, we
// provide two sets of
// dof indices.
const unsigned int jglobal = this->block_info->level(level1).global_to_local(dof1[jcell]).second;
const unsigned int kglobal = this->block_info->level(level2).global_to_local(dof2[kcell]).second;
if (mg_constrained_dofs == 0)
{
if (transpose)
global.add(kglobal, jglobal, local(j,k));
else
global.add(jglobal, kglobal, local(j,k));
}
else
{
if (!mg_constrained_dofs->at_refinement_edge(level1, jglobal) &&
!mg_constrained_dofs->at_refinement_edge(level2, kglobal))
{
if (mg_constrained_dofs->set_boundary_values())
{
if ((!mg_constrained_dofs->is_boundary_index(level1, jglobal) &&
!mg_constrained_dofs->is_boundary_index(level2, kglobal))
||
(mg_constrained_dofs->is_boundary_index(level1, jglobal) &&
mg_constrained_dofs->is_boundary_index(level2, kglobal) &&
jglobal == kglobal))
{
if (transpose)
global.add(kglobal, jglobal, local(j,k));
else
global.add(jglobal, kglobal, local(j,k));
}
}
else
{
if (transpose)
global.add(kglobal, jglobal, local(j,k));
else
global.add(jglobal, kglobal, local(j,k));
}
}
}
}
}
template <class MATRIX, typename number>
inline void
MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number>::assemble_fluxes(
MATRIX &global,
const FullMatrix<number> &local,
const unsigned int block_row,
const unsigned int block_col,
const std::vector<types::global_dof_index> &dof1,
const std::vector<types::global_dof_index> &dof2,
const unsigned int level1,
const unsigned int level2)
{
for (unsigned int j=0; j<local.n_rows(); ++j)
for (unsigned int k=0; k<local.n_cols(); ++k)
if (std::fabs(local(j,k)) >= threshold)
{
// The coordinates of
// the current entry in
// DoFHandler
// numbering, which
// differs from the
// block-wise local
// numbering we use in
// our local matrices
const unsigned int jcell = this->block_info->local().local_to_global(block_row, j);
const unsigned int kcell = this->block_info->local().local_to_global(block_col, k);
// The global dof
// indices to assemble
// in. Since we may
// have face matrices
// coupling two
// different cells, we
// provide two sets of
// dof indices.
const unsigned int jglobal = this->block_info->level(level1).global_to_local(dof1[jcell]).second;
const unsigned int kglobal = this->block_info->level(level2).global_to_local(dof2[kcell]).second;
if (mg_constrained_dofs == 0)
global.add(jglobal, kglobal, local(j,k));
else
{
if (!mg_constrained_dofs->non_refinement_edge_index(level1, jglobal) &&
!mg_constrained_dofs->non_refinement_edge_index(level2, kglobal))
{
if (!mg_constrained_dofs->at_refinement_edge(level1, jglobal) &&
!mg_constrained_dofs->at_refinement_edge(level2, kglobal))
global.add(jglobal, kglobal, local(j,k));
}
}
}
}
template <class MATRIX, typename number>
inline void
MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number>::assemble_up(
MATRIX &global,
const FullMatrix<number> &local,
const unsigned int block_row,
const unsigned int block_col,
const std::vector<types::global_dof_index> &dof1,
const std::vector<types::global_dof_index> &dof2,
const unsigned int level1,
const unsigned int level2)
{
for (unsigned int j=0; j<local.n_rows(); ++j)
for (unsigned int k=0; k<local.n_cols(); ++k)
if (std::fabs(local(j,k)) >= threshold)
{
// The coordinates of
// the current entry in
// DoFHandler
// numbering, which
// differs from the
// block-wise local
// numbering we use in
// our local matrices
const unsigned int jcell = this->block_info->local().local_to_global(block_row, j);
const unsigned int kcell = this->block_info->local().local_to_global(block_col, k);
// The global dof
// indices to assemble
// in. Since we may
// have face matrices
// coupling two
// different cells, we
// provide two sets of
// dof indices.
const unsigned int jglobal = this->block_info->level(level1).global_to_local(dof1[jcell]).second;
const unsigned int kglobal = this->block_info->level(level2).global_to_local(dof2[kcell]).second;
if (mg_constrained_dofs == 0)
global.add(jglobal, kglobal, local(j,k));
else
{
if (!mg_constrained_dofs->non_refinement_edge_index(level1, jglobal) &&
!mg_constrained_dofs->non_refinement_edge_index(level2, kglobal))
{
if (!mg_constrained_dofs->at_refinement_edge(level1, jglobal) &&
!mg_constrained_dofs->at_refinement_edge(level2, kglobal))
global.add(jglobal, kglobal, local(j,k));
}
}
}
}
template <class MATRIX, typename number>
inline void
MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number>::assemble_down(
MATRIX &global,
const FullMatrix<number> &local,
const unsigned int block_row,
const unsigned int block_col,
const std::vector<types::global_dof_index> &dof1,
const std::vector<types::global_dof_index> &dof2,
const unsigned int level1,
const unsigned int level2)
{
for (unsigned int j=0; j<local.n_rows(); ++j)
for (unsigned int k=0; k<local.n_cols(); ++k)
if (std::fabs(local(k,j)) >= threshold)
{
// The coordinates of
// the current entry in
// DoFHandler
// numbering, which
// differs from the
// block-wise local
// numbering we use in
// our local matrices
const unsigned int jcell = this->block_info->local().local_to_global(block_row, j);
const unsigned int kcell = this->block_info->local().local_to_global(block_col, k);
// The global dof
// indices to assemble
// in. Since we may
// have face matrices
// coupling two
// different cells, we
// provide two sets of
// dof indices.
const unsigned int jglobal = this->block_info->level(level1).global_to_local(dof1[jcell]).second;
const unsigned int kglobal = this->block_info->level(level2).global_to_local(dof2[kcell]).second;
if (mg_constrained_dofs == 0)
global.add(jglobal, kglobal, local(k,j));
else
{
if (!mg_constrained_dofs->non_refinement_edge_index(level1, jglobal) &&
!mg_constrained_dofs->non_refinement_edge_index(level2, kglobal))
{
if (!mg_constrained_dofs->at_refinement_edge(level1, jglobal) &&
!mg_constrained_dofs->at_refinement_edge(level2, kglobal))
global.add(jglobal, kglobal, local(k,j));
}
}
}
}
template <class MATRIX, typename number>
inline void
MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number>::assemble_in(
MATRIX &global,
const FullMatrix<number> &local,
const unsigned int block_row,
const unsigned int block_col,
const std::vector<types::global_dof_index> &dof1,
const std::vector<types::global_dof_index> &dof2,
const unsigned int level1,
const unsigned int level2)
{
// AssertDimension(local.n(), dof1.size());
// AssertDimension(local.m(), dof2.size());
for (unsigned int j=0; j<local.n_rows(); ++j)
for (unsigned int k=0; k<local.n_cols(); ++k)
if (std::fabs(local(j,k)) >= threshold)
{
// The coordinates of
// the current entry in
// DoFHandler
// numbering, which
// differs from the
// block-wise local
// numbering we use in
// our local matrices
const unsigned int jcell = this->block_info->local().local_to_global(block_row, j);
const unsigned int kcell = this->block_info->local().local_to_global(block_col, k);
// The global dof
// indices to assemble
// in. Since we may
// have face matrices
// coupling two
// different cells, we
// provide two sets of
// dof indices.
const unsigned int jglobal = this->block_info->level(level1).global_to_local(dof1[jcell]).second;
const unsigned int kglobal = this->block_info->level(level2).global_to_local(dof2[kcell]).second;
if (mg_constrained_dofs == 0)
global.add(jglobal, kglobal, local(j,k));
else
{
if (mg_constrained_dofs->at_refinement_edge(level1, jglobal) &&
!mg_constrained_dofs->at_refinement_edge(level2, kglobal))
{
if (mg_constrained_dofs->set_boundary_values())
{
if ((!mg_constrained_dofs->at_refinement_edge_boundary(level1, jglobal) &&
!mg_constrained_dofs->at_refinement_edge_boundary(level2, kglobal))
||
(mg_constrained_dofs->at_refinement_edge_boundary(level1, jglobal) &&
mg_constrained_dofs->at_refinement_edge_boundary(level2, kglobal) &&
jglobal == kglobal))
global.add(jglobal, kglobal, local(j,k));
}
else
global.add(jglobal, kglobal, local(j,k));
}
}
}
}
template <class MATRIX, typename number>
inline void
MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number>::assemble_out(
MATRIX &global,
const FullMatrix<number> &local,
const unsigned int block_row,
const unsigned int block_col,
const std::vector<types::global_dof_index> &dof1,
const std::vector<types::global_dof_index> &dof2,
const unsigned int level1,
const unsigned int level2)
{
// AssertDimension(local.n(), dof1.size());
// AssertDimension(local.m(), dof2.size());
for (unsigned int j=0; j<local.n_rows(); ++j)
for (unsigned int k=0; k<local.n_cols(); ++k)
if (std::fabs(local(k,j)) >= threshold)
{
// The coordinates of
// the current entry in
// DoFHandler
// numbering, which
// differs from the
// block-wise local
// numbering we use in
// our local matrices
const unsigned int jcell = this->block_info->local().local_to_global(block_row, j);
const unsigned int kcell = this->block_info->local().local_to_global(block_col, k);
// The global dof
// indices to assemble
// in. Since we may
// have face matrices
// coupling two
// different cells, we
// provide two sets of
// dof indices.
const unsigned int jglobal = this->block_info->level(level1).global_to_local(dof1[jcell]).second;
const unsigned int kglobal = this->block_info->level(level2).global_to_local(dof2[kcell]).second;
if (mg_constrained_dofs == 0)
global.add(jglobal, kglobal, local(k,j));
else
{
if (mg_constrained_dofs->at_refinement_edge(level1, jglobal) &&
!mg_constrained_dofs->at_refinement_edge(level2, kglobal))
{
if (mg_constrained_dofs->set_boundary_values())
{
if ((!mg_constrained_dofs->at_refinement_edge_boundary(level1, jglobal) &&
!mg_constrained_dofs->at_refinement_edge_boundary(level2, kglobal))
||
(mg_constrained_dofs->at_refinement_edge_boundary(level1, jglobal) &&
mg_constrained_dofs->at_refinement_edge_boundary(level2, kglobal) &&
jglobal == kglobal))
global.add(jglobal, kglobal, local(k,j));
}
else
global.add(jglobal, kglobal, local(k,j));
}
}
}
}
template <class MATRIX, typename number>
template <class DOFINFO>
inline void
MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number>::assemble(const DOFINFO &info)
{
const unsigned int level = info.cell->level();
for (unsigned int i=0; i<matrices->size(); ++i)
{
// Row and column index of
// the block we are dealing with
const unsigned int row = matrices->block(i)[level].row;
const unsigned int col = matrices->block(i)[level].column;
assemble(matrices->block(i)[level].matrix, info.matrix(i,false).matrix, row, col,
info.indices, info.indices, level, level);
if (mg_constrained_dofs != 0)
{
if (interface_in != 0)
assemble_in(interface_in->block(i)[level], info.matrix(i,false).matrix, row, col,
info.indices, info.indices, level, level);
if (interface_out != 0)
assemble_in(interface_out->block(i)[level], info.matrix(i,false).matrix, row, col,
info.indices, info.indices, level, level);
assemble_in(matrices->block_in(i)[level], info.matrix(i,false).matrix, row, col,
info.indices, info.indices, level, level);
assemble_out(matrices->block_out(i)[level], info.matrix(i,false).matrix, row, col,
info.indices, info.indices, level, level);
}
}
}
template <class MATRIX, typename number>
template <class DOFINFO>
inline void
MGMatrixLocalBlocksToGlobalBlocks<MATRIX, number>::assemble(
const DOFINFO &info1,
const DOFINFO &info2)
{
const unsigned int level1 = info1.cell->level();
const unsigned int level2 = info2.cell->level();
for (unsigned int i=0; i<matrices->size(); ++i)
{
MGLevelObject<MatrixBlock<MATRIX> > &o = matrices->block(i);
// Row and column index of
// the block we are dealing with
const unsigned int row = o[level1].row;
const unsigned int col = o[level1].column;
if (level1 == level2)
{
if (mg_constrained_dofs == 0)
{
assemble(o[level1].matrix, info1.matrix(i,false).matrix, row, col,
info1.indices, info1.indices, level1, level1);
assemble(o[level1].matrix, info1.matrix(i,true).matrix, row, col,
info1.indices, info2.indices, level1, level2);
assemble(o[level1].matrix, info2.matrix(i,false).matrix, row, col,
info2.indices, info2.indices, level2, level2);
assemble(o[level1].matrix, info2.matrix(i,true).matrix, row, col,
info2.indices, info1.indices, level2, level1);
}
else
{
assemble_fluxes(o[level1].matrix, info1.matrix(i,false).matrix, row, col,
info1.indices, info1.indices, level1, level1);
assemble_fluxes(o[level1].matrix, info1.matrix(i,true).matrix, row, col,
info1.indices, info2.indices, level1, level2);
assemble_fluxes(o[level1].matrix, info2.matrix(i,false).matrix, row, col,
info2.indices, info2.indices, level2, level2);
assemble_fluxes(o[level1].matrix, info2.matrix(i,true).matrix, row, col,
info2.indices, info1.indices, level2, level1);
}
}
else
{
Assert(level1 > level2, ExcNotImplemented());
if (flux_up->size() != 0)
{
// Do not add M22,
// which is done by
// the coarser cell
assemble_fluxes(o[level1].matrix, info1.matrix(i,false).matrix, row, col,
info1.indices, info1.indices, level1, level1);
assemble_up(flux_up->block(i)[level1].matrix, info1.matrix(i,true).matrix, row, col,
info1.indices, info2.indices, level1, level2);
assemble_down(flux_down->block(i)[level1].matrix, info2.matrix(i,true).matrix, row, col,
info2.indices, info1.indices, level2, level1);
}
}
}
}
}
}
DEAL_II_NAMESPACE_CLOSE
#endif
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