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MatrixDiagonal.h
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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 "GooseFEM.h"
// =========================================== GooseFEM ============================================
namespace
GooseFEM
{
// -------------------------------------------------------------------------------------------------
class
MatrixDiagonal
{
private:
// data
ColD
m_data
;
// the diagonal matrix (not-partitioned)
ColD
m_inv
;
// inverse of "m_data", can be re-used to solve different right-hand-sides
bool
m_change
=
false
;
// signal changes to data compare to the last inverse
// information
MatS
m_conn
;
// connectivity [nelem, nne ]
MatS
m_dofs
;
// DOF-numbers per node [nnode, ndim]
MatS
m_part
;
// DOF-numbers per node, after partitioning [nnode, ndim]
ColS
m_iiu
;
// DOF-numbers that are unknown [nnu]
ColS
m_iip
;
// DOF-numbers that are prescribed [nnp]
// 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
size_t
m_nnu
;
// number of unknown DOFs
size_t
m_nnp
;
// number of prescribed DOFs
public:
// constructor
MatrixDiagonal
(){};
MatrixDiagonal
(
const
MatS
&
conn
,
const
MatS
&
dofs
,
const
ColS
&
iip
=
ColS
());
// index operators: access plain storage
double
&
operator
[](
size_t
i
);
const
double
&
operator
[](
size_t
i
)
const
;
// index operators: access using matrix indices
double
&
operator
()(
size_t
a
);
const
double
&
operator
()(
size_t
a
)
const
;
double
&
operator
()(
size_t
a
,
size_t
b
);
const
double
&
operator
()(
size_t
a
,
size_t
b
)
const
;
// 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
size_t
nnu
()
const
;
// number of unknown DOFs
size_t
nnp
()
const
;
// number of prescribed DOFs
// DOF lists
ColS
iiu
()
const
;
// unknown DOFs
ColS
iip
()
const
;
// prescribed DOFs
// product: c_i = A_ij * b_j
ColD
dot
(
const
ColD
&
b
)
const
;
// c = A * b
ColD
dot_u
(
const
ColD
&
b
)
const
;
// c_u = A_uu * b_u + A_up * b_p
ColD
dot_u
(
const
ColD
&
b_u
,
const
ColD
&
b_p
)
const
;
// c_u = A_uu * b_u + A_up * b_p
ColD
dot_p
(
const
ColD
&
b
)
const
;
// c_p = A_pu * b_u + A_pp * b_p
ColD
dot_p
(
const
ColD
&
b_u
,
const
ColD
&
b_p
)
const
;
// c_p = A_pu * b_u + A_pp * b_p
// check structure of the matrices stored per element [nelem, nne*ndim, nne*ndim]
void
check_diagonal
(
const
ArrD
&
elemmat
)
const
;
// assemble from matrices stored per element [nelem, nne*ndim, nne*ndim]
// WARNING: ignores any off-diagonal terms
void
assemble
(
const
ArrD
&
elemmat
);
// set matrix components from externally assembled object
void
set
(
const
ColD
&
matrix
)
const
;
// diagonal [ndof]
void
set_uu
(
const
ColD
&
matrix_uu
)
const
;
// diagonal [nnu]
void
set_pp
(
const
ColD
&
matrix_pp
)
const
;
// diagonal [nnp]
// solve
// ("u_p" is useless as all cross-terms are zero, it is here for aesthetics)
ColD
solve
(
const
ColD
&
rhs
,
const
ColD
&
u_p
=
ColD
());
// [ndof] -> [ndof]
ColD
solve_u
(
const
ColD
&
rhs_u
,
const
ColD
&
u_p
=
ColD
());
// [nnu] -> [nnu]
// get the right-hand-side of prescribed DOFs: [nnu], [nnp] -> [nnp]
// ("u_u" is useless as all cross-terms are zero, it is here for aesthetics)
ColD
rhs_p
(
const
ColD
&
u_u
,
const
ColD
&
u_p
)
const
;
// return (sub-)matrix as diagonal matrix (column)
ColD
asDiagonal
()
const
;
// [ndpf]
ColD
asDiagonal_uu
()
const
;
// [nnu]
ColD
asDiagonal_pp
()
const
;
// [nnp]
// return (sub-)matrix as sparse matrix
SpMatD
asSparse
()
const
;
// [ndof,ndof]
SpMatD
asSparse_uu
()
const
;
// [nnu ,nnu ]
SpMatD
asSparse_up
()
const
;
// [nnu ,nnp ]
SpMatD
asSparse_pu
()
const
;
// [nnp ,nnu ]
SpMatD
asSparse_pp
()
const
;
// [nnp ,nnp ]
// return (sub-)matrix as dense matrix
MatD
asDense
()
const
;
// [ndof,ndof]
MatD
asDense_uu
()
const
;
// [nnu ,nnu ]
MatD
asDense_up
()
const
;
// [nnu ,nnp ]
MatD
asDense_pu
()
const
;
// [nnp ,nnu ]
MatD
asDense_pp
()
const
;
// [nnp ,nnp ]
};
// -------------------------------------------------------------------------------------------------
// matrix/column product: '[ndof,ndof]' * [ndof] -> [ndof]
inline
ColD
operator
*
(
const
MatrixDiagonal
&
A
,
const
ColD
&
b
);
// -------------------------------------------------------------------------------------------------
}
// namespace ...
// =================================================================================================
#endif
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