matrix_tools_once.cc

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// ---------------------------------------------------------------------
//
// Copyright (C) 1998 - 2019 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.md at
// the top level directory of deal.II.
//
// ---------------------------------------------------------------------
 
#include <deal.II/base/function.h>
#include <deal.II/base/geometry_info.h>
#include <deal.II/base/quadrature.h>
#include <deal.II/base/work_stream.h>
 
#include <deal.II/dofs/dof_accessor.h>
#include <deal.II/dofs/dof_handler.h>
#include <deal.II/dofs/dof_tools.h>
 
#include <deal.II/fe/fe.h>
#include <deal.II/fe/fe_values.h>
#include <deal.II/fe/mapping_q1.h>
 
#include <deal.II/grid/tria_iterator.h>
 
#include <deal.II/hp/fe_values.h>
#include <deal.II/hp/mapping_collection.h>
 
#include <deal.II/lac/block_sparse_matrix.h>
#include <deal.II/lac/block_vector.h>
#include <deal.II/lac/full_matrix.h>
#include <deal.II/lac/sparse_matrix.h>
#include <deal.II/lac/vector.h>
 
#include <deal.II/numerics/matrix_tools.h>
 
#ifdef DEAL_II_WITH_PETSC
#  include <deal.II/lac/petsc_block_sparse_matrix.h>
#  include <deal.II/lac/petsc_block_vector.h>
#  include <deal.II/lac/petsc_matrix_base.h>
#  include <deal.II/lac/petsc_vector_base.h>
#endif
 
#ifdef DEAL_II_WITH_TRILINOS
#  include <deal.II/lac/trilinos_block_sparse_matrix.h>
#  include <deal.II/lac/trilinos_parallel_block_vector.h>
#  include <deal.II/lac/trilinos_sparse_matrix.h>
#  include <deal.II/lac/trilinos_vector.h>
#endif
 
#include <algorithm>
#include <cmath>
 
 
DEAL_II_NAMESPACE_OPEN
 
namespace MatrixTools
{
#ifdef DEAL_II_WITH_PETSC
  void
  apply_boundary_values(
    const std::map<types::global_dof_index, PetscScalar> &boundary_values,
    PETScWrappers::MatrixBase &                           matrix,
    PETScWrappers::VectorBase &                           solution,
    PETScWrappers::VectorBase &                           right_hand_side,
    const bool                                            eliminate_columns)
  {
    (void)eliminate_columns;
    Assert(eliminate_columns == false, ExcNotImplemented());
 
    Assert(matrix.n() == right_hand_side.size(),
           ExcDimensionMismatch(matrix.n(), right_hand_side.size()));
    Assert(matrix.n() == solution.size(),
           ExcDimensionMismatch(matrix.n(), solution.size()));
 
    // if no boundary values are to be applied, then
    // jump straight to the compress() calls that we still have
    // to perform because they are collective operations
    if (boundary_values.size() > 0)
      {
        const std::pair<types::global_dof_index, types::global_dof_index>
          local_range = matrix.local_range();
        Assert(local_range == right_hand_side.local_range(),
               ExcInternalError());
        Assert(local_range == solution.local_range(), ExcInternalError());
 
        // determine the first nonzero diagonal
        // entry from within the part of the
        // matrix that we can see. if we can't
        // find such an entry, take one
        PetscScalar average_nonzero_diagonal_entry = 1;
        for (types::global_dof_index i = local_range.first;
             i < local_range.second;
             ++i)
          if (matrix.diag_element(i) != PetscScalar())
            {
              average_nonzero_diagonal_entry = std::abs(matrix.diag_element(i));
              break;
            }
 
        // figure out which rows of the matrix we
        // have to eliminate on this processor
        std::vector<types::global_dof_index> constrained_rows;
        for (const auto &boundary_value : boundary_values)
          if ((boundary_value.first >= local_range.first) &&
              (boundary_value.first < local_range.second))
            constrained_rows.push_back(boundary_value.first);
 
        // then eliminate these rows and set
        // their diagonal entry to what we have
        // determined above. note that for petsc
        // matrices interleaving read with write
        // operations is very expensive. thus, we
        // here always replace the diagonal
        // element, rather than first checking
        // whether it is nonzero and in that case
        // preserving it. this is different from
        // the case of deal.II sparse matrices
        // treated in the other functions.
        matrix.clear_rows(constrained_rows, average_nonzero_diagonal_entry);
 
        std::vector<types::global_dof_index> indices;
        std::vector<PetscScalar>             solution_values;
        for (const auto &boundary_value : boundary_values)
          if ((boundary_value.first >= local_range.first) &&
              (boundary_value.first < local_range.second))
            {
              indices.push_back(boundary_value.first);
              solution_values.push_back(boundary_value.second);
            }
        solution.set(indices, solution_values);
 
        // now also set appropriate values for the rhs
        for (auto &solution_value : solution_values)
          solution_value *= average_nonzero_diagonal_entry;
 
        right_hand_side.set(indices, solution_values);
      }
    else
      {
        // clear_rows() is a collective operation so we still have to call
        // it:
        std::vector<types::global_dof_index> constrained_rows;
        matrix.clear_rows(constrained_rows, 1.);
      }
 
    // clean up
    solution.compress(VectorOperation::insert);
    right_hand_side.compress(VectorOperation::insert);
  }
 
 
  void
  apply_boundary_values(
    const std::map<types::global_dof_index, PetscScalar> &boundary_values,
    PETScWrappers::MPI::BlockSparseMatrix &               matrix,
    PETScWrappers::MPI::BlockVector &                     solution,
    PETScWrappers::MPI::BlockVector &                     right_hand_side,
    const bool                                            eliminate_columns)
  {
    Assert(matrix.n() == right_hand_side.size(),
           ExcDimensionMismatch(matrix.n(), right_hand_side.size()));
    Assert(matrix.n() == solution.size(),
           ExcDimensionMismatch(matrix.n(), solution.size()));
    Assert(matrix.n_block_rows() == matrix.n_block_cols(), ExcNotQuadratic());
 
    const unsigned int n_blocks = matrix.n_block_rows();
 
    // We need to find the subdivision
    // into blocks for the boundary values.
    // To this end, generate a vector of
    // maps with the respective indices.
    std::vector<std::map<::types::global_dof_index, PetscScalar>>
      block_boundary_values(n_blocks);
    {
      int                             block  = 0;
      ::types::global_dof_index offset = 0;
      for (const auto &boundary_value : boundary_values)
        {
          if (boundary_value.first >= matrix.block(block, 0).m() + offset)
            {
              offset += matrix.block(block, 0).m();
              block++;
            }
          const types::global_dof_index index = boundary_value.first - offset;
          block_boundary_values[block].insert(
            std::pair<types::global_dof_index, PetscScalar>(
              index, boundary_value.second));
        }
    }
 
    // Now call the non-block variants on
    // the diagonal subblocks and the
    // solution/rhs.
    for (unsigned int block = 0; block < n_blocks; ++block)
      apply_boundary_values(block_boundary_values[block],
                            matrix.block(block, block),
                            solution.block(block),
                            right_hand_side.block(block),
                            eliminate_columns);
 
    // Finally, we need to do something
    // about the off-diagonal matrices. This
    // is luckily not difficult. Just clear
    // the whole row.
    for (unsigned int block_m = 0; block_m < n_blocks; ++block_m)
      {
        const std::pair<types::global_dof_index, types::global_dof_index>
          local_range = matrix.block(block_m, 0).local_range();
 
        std::vector<types::global_dof_index> constrained_rows;
        for (std::map<types::global_dof_index, PetscScalar>::const_iterator
               dof = block_boundary_values[block_m].begin();
             dof != block_boundary_values[block_m].end();
             ++dof)
          if ((dof->first >= local_range.first) &&
              (dof->first < local_range.second))
            constrained_rows.push_back(dof->first);
 
        for (unsigned int block_n = 0; block_n < n_blocks; ++block_n)
          if (block_m != block_n)
            matrix.block(block_m, block_n).clear_rows(constrained_rows);
      }
  }
 
#endif
 
 
 
#ifdef DEAL_II_WITH_TRILINOS
 
  namespace internal
  {
    namespace TrilinosWrappers
    {
      template <typename TrilinosMatrix, typename TrilinosVector>
      void
      apply_boundary_values(const std::map<types::global_dof_index,
                                           TrilinosScalar> &boundary_values,
                            TrilinosMatrix &                matrix,
                            TrilinosVector &                solution,
                            TrilinosVector &                right_hand_side,
                            const bool                      eliminate_columns)
      {
        Assert(eliminate_columns == false, ExcNotImplemented());
        (void)eliminate_columns;
 
        Assert(matrix.n() == right_hand_side.size(),
               ExcDimensionMismatch(matrix.n(), right_hand_side.size()));
        Assert(matrix.n() == solution.size(),
               ExcDimensionMismatch(matrix.m(), solution.size()));
 
        // if no boundary values are to be applied, then
        // jump straight to the compress() calls that we still have
        // to perform because they are collective operations
        if (boundary_values.size() > 0)
          {
            const std::pair<types::global_dof_index, types::global_dof_index>
              local_range = matrix.local_range();
            Assert(local_range == right_hand_side.local_range(),
                   ExcInternalError());
            Assert(local_range == solution.local_range(), ExcInternalError());
 
            // determine the first nonzero diagonal
            // entry from within the part of the
            // matrix that we can see. if we can't
            // find such an entry, take one
            TrilinosScalar average_nonzero_diagonal_entry = 1;
            for (types::global_dof_index i = local_range.first;
                 i < local_range.second;
                 ++i)
              if (matrix.diag_element(i) != 0)
                {
                  average_nonzero_diagonal_entry =
                    std::fabs(matrix.diag_element(i));
                  break;
                }
 
            // figure out which rows of the matrix we
            // have to eliminate on this processor
            std::vector<types::global_dof_index> constrained_rows;
            for (const auto &boundary_value : boundary_values)
              if ((boundary_value.first >= local_range.first) &&
                  (boundary_value.first < local_range.second))
                constrained_rows.push_back(boundary_value.first);
 
            // then eliminate these rows and
            // set their diagonal entry to
            // what we have determined
            // above. if the value already is
            // nonzero, it will be preserved,
            // in accordance with the basic
            // matrix classes in deal.II.
            matrix.clear_rows(constrained_rows, average_nonzero_diagonal_entry);
 
            std::vector<types::global_dof_index> indices;
            std::vector<TrilinosScalar>          solution_values;
            for (const auto &boundary_value : boundary_values)
              if ((boundary_value.first >= local_range.first) &&
                  (boundary_value.first < local_range.second))
                {
                  indices.push_back(boundary_value.first);
                  solution_values.push_back(boundary_value.second);
                }
            solution.set(indices, solution_values);
 
            // now also set appropriate
            // values for the rhs
            for (unsigned int i = 0; i < solution_values.size(); ++i)
              solution_values[i] *= matrix.diag_element(indices[i]);
 
            right_hand_side.set(indices, solution_values);
          }
        else
          {
            // clear_rows() is a collective operation so we still have to call
            // it:
            std::vector<types::global_dof_index> constrained_rows;
            matrix.clear_rows(constrained_rows, 1.);
          }
 
        // clean up
        matrix.compress(VectorOperation::insert);
        solution.compress(VectorOperation::insert);
        right_hand_side.compress(VectorOperation::insert);
      }
 
 
 
      template <typename TrilinosMatrix, typename TrilinosBlockVector>
      void
      apply_block_boundary_values(
        const std::map<types::global_dof_index, TrilinosScalar>
          &                  boundary_values,
        TrilinosMatrix &     matrix,
        TrilinosBlockVector &solution,
        TrilinosBlockVector &right_hand_side,
        const bool           eliminate_columns)
      {
        Assert(eliminate_columns == false, ExcNotImplemented());
 
        Assert(matrix.n() == right_hand_side.size(),
               ExcDimensionMismatch(matrix.n(), right_hand_side.size()));
        Assert(matrix.n() == solution.size(),
               ExcDimensionMismatch(matrix.n(), solution.size()));
        Assert(matrix.n_block_rows() == matrix.n_block_cols(),
               ExcNotQuadratic());
 
        const unsigned int n_blocks = matrix.n_block_rows();
 
        // We need to find the subdivision
        // into blocks for the boundary values.
        // To this end, generate a vector of
        // maps with the respective indices.
        std::vector<std::map<types::global_dof_index, TrilinosScalar>>
          block_boundary_values(n_blocks);
        {
          int                     block  = 0;
          types::global_dof_index offset = 0;
          for (const auto &boundary_value : boundary_values)
            {
              if (boundary_value.first >= matrix.block(block, 0).m() + offset)
                {
                  offset += matrix.block(block, 0).m();
                  block++;
                }
              const types::global_dof_index index =
                boundary_value.first - offset;
              block_boundary_values[block].insert(
                std::pair<types::global_dof_index, TrilinosScalar>(
                  index, boundary_value.second));
            }
        }
 
        // Now call the non-block variants on
        // the diagonal subblocks and the
        // solution/rhs.
        for (unsigned int block = 0; block < n_blocks; ++block)
          TrilinosWrappers::apply_boundary_values(block_boundary_values[block],
                                                  matrix.block(block, block),
                                                  solution.block(block),
                                                  right_hand_side.block(block),
                                                  eliminate_columns);
 
        // Finally, we need to do something
        // about the off-diagonal matrices. This
        // is luckily not difficult. Just clear
        // the whole row.
        for (unsigned int block_m = 0; block_m < n_blocks; ++block_m)
          {
            const std::pair<types::global_dof_index, types::global_dof_index>
              local_range = matrix.block(block_m, 0).local_range();
 
            std::vector<types::global_dof_index> constrained_rows;
            for (std::map<types::global_dof_index,
                          TrilinosScalar>::const_iterator dof =
                   block_boundary_values[block_m].begin();
                 dof != block_boundary_values[block_m].end();
                 ++dof)
              if ((dof->first >= local_range.first) &&
                  (dof->first < local_range.second))
                constrained_rows.push_back(dof->first);
 
            for (unsigned int block_n = 0; block_n < n_blocks; ++block_n)
              if (block_m != block_n)
                matrix.block(block_m, block_n).clear_rows(constrained_rows);
          }
      }
    } // namespace TrilinosWrappers
  }   // namespace internal
 
 
 
  void
  apply_boundary_values(
    const std::map<types::global_dof_index, TrilinosScalar> &boundary_values,
    TrilinosWrappers::SparseMatrix &                         matrix,
    TrilinosWrappers::MPI::Vector &                          solution,
    TrilinosWrappers::MPI::Vector &                          right_hand_side,
    const bool                                               eliminate_columns)
  {
    // simply redirect to the generic function
    // used for both trilinos matrix types
    internal::TrilinosWrappers::apply_boundary_values(
      boundary_values, matrix, solution, right_hand_side, eliminate_columns);
  }
 
 
 
  void
  apply_boundary_values(
    const std::map<types::global_dof_index, TrilinosScalar> &boundary_values,
    TrilinosWrappers::BlockSparseMatrix &                    matrix,
    TrilinosWrappers::MPI::BlockVector &                     solution,
    TrilinosWrappers::MPI::BlockVector &                     right_hand_side,
    const bool                                               eliminate_columns)
  {
    internal::TrilinosWrappers::apply_block_boundary_values(
      boundary_values, matrix, solution, right_hand_side, eliminate_columns);
  }
 
#endif
 
} // namespace MatrixTools
 
DEAL_II_NAMESPACE_CLOSE