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MatrixDiagonalPartitioned.h
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rGOOSEFEM GooseFEM
MatrixDiagonalPartitioned.h
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/**
Diagonal matrix that is partitioned in:
- unknown DOFs
- prescribed DOFs
\file MatrixDiagonalPartitioned.h
\copyright Copyright 2017. Tom de Geus. All rights reserved.
\license This project is released under the GNU Public License (GPLv3).
*/
#ifndef GOOSEFEM_MATRIXDIAGONALPARTITIONED_H
#define GOOSEFEM_MATRIXDIAGONALPARTITIONED_H
#include "config.h"
#include "MatrixDiagonal.h"
namespace
GooseFEM
{
/**
Diagonal and partitioned matrix.
See Vector() for bookkeeping definitions.
*/
class
MatrixDiagonalPartitioned
:
public
MatrixDiagonal
{
public:
MatrixDiagonalPartitioned
()
=
default
;
/**
Constructor.
\param conn connectivity [#nelem, #nne].
\param dofs DOFs per node [#nnode, #ndim].
\param iip prescribed DOFs [#nnp].
*/
MatrixDiagonalPartitioned
(
const
xt
::
xtensor
<
size_t
,
2
>&
conn
,
const
xt
::
xtensor
<
size_t
,
2
>&
dofs
,
const
xt
::
xtensor
<
size_t
,
1
>&
iip
);
/**
Number of unknown DOFs.
*/
size_t
nnu
()
const
;
/**
Number of prescribed DOFs.
*/
size_t
nnp
()
const
;
/**
Unknown DOFs [#nnu].
*/
xt
::
xtensor
<
size_t
,
1
>
iiu
()
const
;
/**
Prescribed DOFs [#nnp].
*/
xt
::
xtensor
<
size_t
,
1
>
iip
()
const
;
void
assemble
(
const
xt
::
xtensor
<
double
,
3
>&
elemmat
)
override
;
xt
::
xtensor
<
double
,
1
>
Todiagonal
()
const
override
;
void
dot
(
const
xt
::
xtensor
<
double
,
2
>&
x
,
xt
::
xtensor
<
double
,
2
>&
b
)
const
override
;
void
dot
(
const
xt
::
xtensor
<
double
,
1
>&
x
,
xt
::
xtensor
<
double
,
1
>&
b
)
const
override
;
/**
\param x_u dofval [#nnu].
\param x_p dofval [#nnp].
\return b_u dofval [#nnu].
*/
xt
::
xtensor
<
double
,
1
>
Dot_u
(
const
xt
::
xtensor
<
double
,
1
>&
x_u
,
const
xt
::
xtensor
<
double
,
1
>&
x_p
)
const
;
/**
\param x_u dofval [#nnu].
\param x_p dofval [#nnp].
\param b_u (overwritten) dofval [#nnu].
*/
void
dot_u
(
const
xt
::
xtensor
<
double
,
1
>&
x_u
,
const
xt
::
xtensor
<
double
,
1
>&
x_p
,
xt
::
xtensor
<
double
,
1
>&
b_u
)
const
;
/**
\param x_u dofval [#nnu].
\param x_p dofval [#nnp].
\return b_p dofval [#nnp].
*/
xt
::
xtensor
<
double
,
1
>
Dot_p
(
const
xt
::
xtensor
<
double
,
1
>&
x_u
,
const
xt
::
xtensor
<
double
,
1
>&
x_p
)
const
;
/**
\param x_u dofval [#nnu].
\param x_p dofval [#nnp].
\param b_p (overwritten) dofval [#nnp].
*/
void
dot_p
(
const
xt
::
xtensor
<
double
,
1
>&
x_u
,
const
xt
::
xtensor
<
double
,
1
>&
x_p
,
xt
::
xtensor
<
double
,
1
>&
b_p
)
const
;
void
solve
(
const
xt
::
xtensor
<
double
,
2
>&
b
,
xt
::
xtensor
<
double
,
2
>&
x
)
override
;
// modified with "x_u"
void
solve
(
const
xt
::
xtensor
<
double
,
1
>&
b
,
xt
::
xtensor
<
double
,
1
>&
x
)
override
;
// modified with "x_u"
/**
\param b_u dofval [#nnu].
\param x_p dofval [#nnp].
\return x_u dofval [#nnu].
*/
xt
::
xtensor
<
double
,
1
>
Solve_u
(
const
xt
::
xtensor
<
double
,
1
>&
b_u
,
const
xt
::
xtensor
<
double
,
1
>&
x_p
);
/**
\param b_u dofval [#nnu].
\param x_p dofval [#nnp].
\param x_u (overwritten) dofval [#nnu].
*/
void
solve_u
(
const
xt
::
xtensor
<
double
,
1
>&
b_u
,
const
xt
::
xtensor
<
double
,
1
>&
x_p
,
xt
::
xtensor
<
double
,
1
>&
x_u
);
/**
Get right-hand-size for corresponding to the prescribed DOFs.
\f$ b_p = A_{pu} * x_u + A_{pp} * x_p = A_{pp} * x_p \equiv A_{pp} * x_p \f$
and assemble them to the appropriate places in "nodevec".
\param x "nodevec" [#nnode, #ndim].
\param b "nodevec" [#nnode, #ndim].
\return Copy of `b` with \f$ b_p \f$ overwritten.
*/
xt
::
xtensor
<
double
,
2
>
Reaction
(
const
xt
::
xtensor
<
double
,
2
>&
x
,
const
xt
::
xtensor
<
double
,
2
>&
b
)
const
;
/**
Same as Reaction(const xt::xtensor<double, 2>&, const xt::xtensor<double, 2>&),
but inserting in-place.
\param x "nodevec" [#nnode, #ndim].
\param b "nodevec" [#nnode, #ndim], \f$ b_p \f$ overwritten.
*/
void
reaction
(
const
xt
::
xtensor
<
double
,
2
>&
x
,
xt
::
xtensor
<
double
,
2
>&
b
)
const
;
/**
Same as Reaction(const xt::xtensor<double, 2>&, const xt::xtensor<double, 2>&),
but of "dofval" input and output.
\param x "dofval" [#ndof].
\param b "dofval" [#ndof].
\return Copy of `b` with \f$ b_p \f$ overwritten.
*/
xt
::
xtensor
<
double
,
1
>
Reaction
(
const
xt
::
xtensor
<
double
,
1
>&
x
,
const
xt
::
xtensor
<
double
,
1
>&
b
)
const
;
/**
Same as Reaction(const xt::xtensor<double, 1>&, const xt::xtensor<double, 1>&),
but inserting in-place.
\param x "dofval" [#ndof].
\param b "dofval" [#ndof], \f$ b_p \f$ overwritten.
*/
void
reaction
(
const
xt
::
xtensor
<
double
,
1
>&
x
,
xt
::
xtensor
<
double
,
1
>&
b
)
const
;
// modified with "b_p"
/**
Same as Reaction(const xt::xtensor<double, 1>&, const xt::xtensor<double, 1>&),
but with partitioned input and output.
\param x_u unknown "dofval" [#nnu].
\param x_p prescribed "dofval" [#nnp].
\return b_p prescribed "dofval" [#nnp].
*/
xt
::
xtensor
<
double
,
1
>
Reaction_p
(
const
xt
::
xtensor
<
double
,
1
>&
x_u
,
const
xt
::
xtensor
<
double
,
1
>&
x_p
)
const
;
/**
Same as Reaction_p(const xt::xtensor<double, 1>&, const xt::xtensor<double, 1>&),
but writing to preallocated output.
\param x_u unknown "dofval" [#nnu].
\param x_p prescribed "dofval" [#nnp].
\param b_p (overwritten) prescribed "dofval" [#nnp].
*/
void
reaction_p
(
const
xt
::
xtensor
<
double
,
1
>&
x_u
,
const
xt
::
xtensor
<
double
,
1
>&
x_p
,
xt
::
xtensor
<
double
,
1
>&
b_p
)
const
;
private:
// The diagonal matrix, and its inverse (re-used to solve different RHS)
xt
::
xtensor
<
double
,
1
>
m_Auu
;
xt
::
xtensor
<
double
,
1
>
m_App
;
xt
::
xtensor
<
double
,
1
>
m_inv_uu
;
// Bookkeeping
xt
::
xtensor
<
size_t
,
2
>
m_part
;
// DOF-numbers per node, renumbered [nnode, ndim]
xt
::
xtensor
<
size_t
,
1
>
m_iiu
;
// DOF-numbers that are unknown [nnu]
xt
::
xtensor
<
size_t
,
1
>
m_iip
;
// DOF-numbers that are prescribed [nnp]
// Dimensions
size_t
m_nnu
;
// number of unknown DOFs
size_t
m_nnp
;
// number of prescribed DOFs
// Compute inverse (automatically evaluated by "solve")
void
factorize
();
};
}
// namespace GooseFEM
#include "MatrixDiagonalPartitioned.hpp"
#endif
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