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rGOOSEFEM/include/GooseFEM/MatrixDiagonalPartitioned.h
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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"
namespace GooseFEM {
class MatrixDiagonalPartitioned {
public:
// Constructors
MatrixDiagonalPartitioned() = default;
MatrixDiagonalPartitioned(
const xt::xtensor<size_t, 2>& conn,
const xt::xtensor<size_t, 2>& dofs,
const xt::xtensor<size_t, 1>& iip);
// 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
xt::xtensor<size_t, 2> dofs() const; // DOFs
xt::xtensor<size_t, 1> iiu() const; // unknown DOFs
xt::xtensor<size_t, 1> iip() const; // prescribed DOFs
// 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);
// Dot-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;
void dot_u(
const xt::xtensor<double, 1>& x_u,
const xt::xtensor<double, 1>& x_p,
xt::xtensor<double, 1>& b_u) const;
void dot_p(
const xt::xtensor<double, 1>& x_u,
const xt::xtensor<double, 1>& x_p,
xt::xtensor<double, 1>& b_p) const;
// Solve:
// x_u = A_uu \ ( b_u - A_up * x_p ) = A_uu \ b_u
void solve(const xt::xtensor<double, 2>& b, xt::xtensor<double, 2>& x); // modified with "x_u"
void solve(const xt::xtensor<double, 1>& b, xt::xtensor<double, 1>& x); // modified with "x_u"
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:
// b_p = A_pu * x_u + A_pp * x_p = A_pp * x_p
void reaction(
const xt::xtensor<double, 2>& x, xt::xtensor<double, 2>& b) const; // modified with "b_p"
void reaction(
const xt::xtensor<double, 1>& x, xt::xtensor<double, 1>& b) const; // modified with "b_p"
void reaction_p(
const xt::xtensor<double, 1>& x_u,
const xt::xtensor<double, 1>& x_p,
xt::xtensor<double, 1>& b_p) const;
// Return matrix as diagonal matrix (column)
xt::xtensor<double, 1> Todiagonal() 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, 1> Dot_u(
const xt::xtensor<double, 1>& x_u, const xt::xtensor<double, 1>& x_p) const;
xt::xtensor<double, 1> Dot_p(
const xt::xtensor<double, 1>& x_u, const xt::xtensor<double, 1>& x_p) const;
xt::xtensor<double, 2> Solve(const xt::xtensor<double, 2>& b, const xt::xtensor<double, 2>& x);
xt::xtensor<double, 1> Solve(const xt::xtensor<double, 1>& b, const xt::xtensor<double, 1>& x);
xt::xtensor<double, 1> Solve_u(
const xt::xtensor<double, 1>& b_u, const xt::xtensor<double, 1>& x_p);
xt::xtensor<double, 2> Reaction(
const xt::xtensor<double, 2>& x, const xt::xtensor<double, 2>& b) const;
xt::xtensor<double, 1> Reaction(
const xt::xtensor<double, 1>& x, const xt::xtensor<double, 1>& b) const;
xt::xtensor<double, 1> Reaction_p(
const xt::xtensor<double, 1>& x_u, const xt::xtensor<double, 1>& x_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;
// Signal changes to data compare to the last inverse
bool m_factor = true;
// Bookkeeping
xt::xtensor<size_t, 2> m_conn; // connectivity [nelem, nne ]
xt::xtensor<size_t, 2> m_dofs; // DOF-numbers per node [nnode, ndim]
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_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
// Compute inverse (automatically evaluated by "solve")
void factorize();
};
} // namespace GooseFEM
#include "MatrixDiagonalPartitioned.hpp"
#endif
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