Reference documentation for deal.II version 9.2.0
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Public Types | Public Member Functions | Static Public Attributes | Protected Member Functions | Protected Attributes | Private Attributes | List of all members
TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d > Class Template Reference

#include <deal.II/lac/tensor_product_matrix.h>

Inheritance diagram for TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d >:
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Public Types

using value_type = Number
 

Public Member Functions

unsigned int m () const
 
unsigned int n () const
 
void vmult (const ArrayView< Number > &dst, const ArrayView< const Number > &src) const
 
void apply_inverse (const ArrayView< Number > &dst, const ArrayView< const Number > &src) const
 

Static Public Attributes

static constexpr int n_rows_1d_static = n_rows_1d
 

Protected Member Functions

 TensorProductMatrixSymmetricSumBase ()=default
 

Protected Attributes

std::array< Table< 2, Number >, dim > mass_matrix
 
std::array< Table< 2, Number >, dim > derivative_matrix
 
std::array< AlignedVector< Number >, dim > eigenvalues
 
std::array< Table< 2, Number >, dim > eigenvectors
 

Private Attributes

AlignedVector< Number > tmp_array
 
Threads::Mutex mutex
 

Detailed Description

template<int dim, typename Number, int n_rows_1d = -1>
class TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d >

This is an abstract base class used for a special matrix class, namely the TensorProductMatrixSymmetricSum.

First, the base class acts like a container storing 1D mass matrices and 1D derivative matrices as well as the generalized eigenvalues and eigenvectors for each tensor direction. For a detailed definition of these matrices and corresponding generalized eigenproblems we refer to the main documentation of TensorProductMatrixSymmetricSum.

Note
This base class has no functionality to calculate eigenvalues and eigenvectors for mass and derivative matrices given. The responsibility of initializing the data members completely lies with the derived class.

Second, it implements the matrix-vector product with the tensor product matrix (vmult()) and its inverse (apply_inverse()) as described in the main documentation of TensorProductMatrixSymmetricSum.

Note
This class uses a temporary array for storing intermediate results that is a class member. A mutex is used to protect access to this array and ensure correct results. If several threads run parallel instances of this class, it is recommended that each threads holds its own matrix version.
Template Parameters
dimDimension of the problem. Currently, 1D, 2D, and 3D codes are implemented.
NumberArithmetic type of the underlying array elements.
n_rows_1dCompile-time number of rows of 1D matrices (only valid if the number of rows and columns coincide for each dimension). By default at -1, which means that the number of rows is determined at run-time by means of the matrices passed to the reinit() function.
Author
Martin Kronbichler and Julius Witte, 2017

Definition at line 76 of file tensor_product_matrix.h.

Member Typedef Documentation

◆ value_type

template<int dim, typename Number , int n_rows_1d = -1>
using TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d >::value_type = Number

Type of matrix entries. This alias is analogous to value_type in the standard library containers.

Definition at line 83 of file tensor_product_matrix.h.

Constructor & Destructor Documentation

◆ TensorProductMatrixSymmetricSumBase()

template<int dim, typename Number , int n_rows_1d = -1>
TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d >::TensorProductMatrixSymmetricSumBase ( )
protecteddefault

Default constructor.

Member Function Documentation

◆ m()

template<int dim, typename Number , int n_rows_1d = -1>
unsigned int TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d >::m ( ) const

Return the number of rows of the tensor product matrix resulting from the Kronecker product of 1D matrices, which is described in the main documentation of TensorProductMatrixSymmetricSum.

◆ n()

template<int dim, typename Number , int n_rows_1d = -1>
unsigned int TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d >::n ( ) const

Return the number of columns of the tensor product matrix resulting from the Kronecker product of 1D matrices, which is described in the main documentation of TensorProductMatrixSymmetricSum.

◆ vmult()

template<int dim, typename Number , int n_rows_1d = -1>
void TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d >::vmult ( const ArrayView< Number > &  dst,
const ArrayView< const Number > &  src 
) const

Implements a matrix-vector product with the underlying matrix as described in the main documentation of TensorProductMatrixSymmetricSum. This function is operating on ArrayView to allow checks of array bounds with respect to dst and src.

◆ apply_inverse()

template<int dim, typename Number , int n_rows_1d = -1>
void TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d >::apply_inverse ( const ArrayView< Number > &  dst,
const ArrayView< const Number > &  src 
) const

Implements a matrix-vector product with the underlying matrix as described in the main documentation of TensorProductMatrixSymmetricSum. This function is operating on ArrayView to allow checks of array bounds with respect to dst and src.

Member Data Documentation

◆ n_rows_1d_static

template<int dim, typename Number , int n_rows_1d = -1>
constexpr int TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d >::n_rows_1d_static = n_rows_1d
staticconstexpr

The static number of rows of the 1D matrices. For more details, see the description of the template parameter n_rows_1d.

Definition at line 89 of file tensor_product_matrix.h.

◆ mass_matrix

template<int dim, typename Number , int n_rows_1d = -1>
std::array<Table<2, Number>, dim> TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d >::mass_matrix
protected

An array containing a mass matrix for each tensor direction.

Definition at line 135 of file tensor_product_matrix.h.

◆ derivative_matrix

template<int dim, typename Number , int n_rows_1d = -1>
std::array<Table<2, Number>, dim> TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d >::derivative_matrix
protected

An array containing a derivative matrix for each tensor direction.

Definition at line 140 of file tensor_product_matrix.h.

◆ eigenvalues

template<int dim, typename Number , int n_rows_1d = -1>
std::array<AlignedVector<Number>, dim> TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d >::eigenvalues
protected

An array storing the generalized eigenvalues for each tensor direction.

Definition at line 146 of file tensor_product_matrix.h.

◆ eigenvectors

template<int dim, typename Number , int n_rows_1d = -1>
std::array<Table<2, Number>, dim> TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d >::eigenvectors
protected

An array storing the generalized eigenvectors for each tensor direction.

Definition at line 152 of file tensor_product_matrix.h.

◆ tmp_array

template<int dim, typename Number , int n_rows_1d = -1>
AlignedVector<Number> TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d >::tmp_array
mutableprivate

An array for temporary data.

Definition at line 158 of file tensor_product_matrix.h.

◆ mutex

template<int dim, typename Number , int n_rows_1d = -1>
Threads::Mutex TensorProductMatrixSymmetricSumBase< dim, Number, n_rows_1d >::mutex
mutableprivate

A mutex that guards access to the array tmp_array.

Definition at line 163 of file tensor_product_matrix.h.

The documentation for this class was generated from the following file:
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