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MatrixDiagonal.h
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Fri, Jun 7, 02:54
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text/x-c++
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rGOOSEFEM GooseFEM
MatrixDiagonal.h
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/* =================================================================================================
(c - GPLv3) T.W.J. de Geus (Tom) | tom@geus.me | www.geus.me | github.com/tdegeus/GooseFEM
================================================================================================= */
#ifndef GOOSEFEM_MATRIXDIAGONAL_H
#define GOOSEFEM_MATRIXDIAGONAL_H
// -------------------------------------------------------------------------------------------------
#include "config.h"
// =================================================================================================
namespace
GooseFEM
{
// -------------------------------------------------------------------------------------------------
class
MatrixDiagonal
{
public:
// constructors
MatrixDiagonal
()
=
default
;
MatrixDiagonal
(
const
xt
::
xtensor
<
size_t
,
2
>
&
conn
,
const
xt
::
xtensor
<
size_t
,
2
>
&
dofs
);
// dimensions
size_t
nelem
()
const
;
// number of elements
size_t
nne
()
const
;
// number of nodes per element
size_t
nnode
()
const
;
// number of nodes
size_t
ndim
()
const
;
// number of dimensions
size_t
ndof
()
const
;
// number of DOFs
// DOF lists
xt
::
xtensor
<
size_t
,
2
>
dofs
()
const
;
// DOFs
// set matrix components
void
set
(
const
xt
::
xtensor
<
double
,
1
>
&
A
);
// assemble from matrices stored per element [nelem, nne*ndim, nne*ndim]
// WARNING: ignores any off-diagonal terms
void
assemble
(
const
xt
::
xtensor
<
double
,
3
>
&
elemmat
);
// product: b_i = A_ij * x_j
void
dot
(
const
xt
::
xtensor
<
double
,
2
>
&
x
,
xt
::
xtensor
<
double
,
2
>
&
b
)
const
;
void
dot
(
const
xt
::
xtensor
<
double
,
1
>
&
x
,
xt
::
xtensor
<
double
,
1
>
&
b
)
const
;
// solve: x = A \ b
void
solve
(
const
xt
::
xtensor
<
double
,
2
>
&
b
,
xt
::
xtensor
<
double
,
2
>
&
x
);
void
solve
(
const
xt
::
xtensor
<
double
,
1
>
&
b
,
xt
::
xtensor
<
double
,
1
>
&
x
);
// return matrix as diagonal matrix (column)
xt
::
xtensor
<
double
,
1
>
asDiagonal
()
const
;
// auto allocation of the functions above
xt
::
xtensor
<
double
,
2
>
dot
(
const
xt
::
xtensor
<
double
,
2
>
&
x
)
const
;
xt
::
xtensor
<
double
,
1
>
dot
(
const
xt
::
xtensor
<
double
,
1
>
&
x
)
const
;
xt
::
xtensor
<
double
,
2
>
solve
(
const
xt
::
xtensor
<
double
,
2
>
&
b
);
xt
::
xtensor
<
double
,
1
>
solve
(
const
xt
::
xtensor
<
double
,
1
>
&
b
);
private:
// the diagonal matrix, and its inverse (re-used to solve different RHS)
xt
::
xtensor
<
double
,
1
>
m_data
;
xt
::
xtensor
<
double
,
1
>
m_inv
;
// signal changes to data compare to the last inverse
bool
m_change
=
false
;
// bookkeeping
xt
::
xtensor
<
size_t
,
2
>
m_conn
;
// connectivity [nelem, nne ]
xt
::
xtensor
<
size_t
,
2
>
m_dofs
;
// DOF-numbers per node [nnode, ndim]
// dimensions
size_t
m_nelem
;
// number of elements
size_t
m_nne
;
// number of nodes per element
size_t
m_nnode
;
// number of nodes
size_t
m_ndim
;
// number of dimensions
size_t
m_ndof
;
// number of DOFs
// compute inverse (automatically evaluated by "solve")
void
factorize
();
};
// -------------------------------------------------------------------------------------------------
}
// namespace ...
// =================================================================================================
#include "MatrixDiagonal.hpp"
// =================================================================================================
#endif
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