/usr/include/getfem/getfem_error_estimate.h is in libgetfem++-dev 4.2.1~beta1~svn4635~dfsg-3+b1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 | /* -*- c++ -*- (enables emacs c++ mode) */
/*===========================================================================
Copyright (C) 1999-2012 Yves Renard, Julien Pommier
This file is a part of GETFEM++
Getfem++ is free software; you can redistribute it and/or modify it
under the terms of the GNU Lesser General Public License as published
by the Free Software Foundation; either version 3 of the License, or
(at your option) any later version along with the GCC Runtime Library
Exception either version 3.1 or (at your option) any later version.
This program is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
License and GCC Runtime Library Exception for more details.
You should have received a copy of the GNU Lesser General Public License
along with this program; if not, write to the Free Software Foundation,
Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA.
As a special exception, you may use this file as it is a part of a free
software library without restriction. Specifically, if other files
instantiate templates or use macros or inline functions from this file,
or you compile this file and link it with other files to produce an
executable, this file does not by itself cause the resulting executable
to be covered by the GNU Lesser General Public License. This exception
does not however invalidate any other reasons why the executable file
might be covered by the GNU Lesser General Public License.
===========================================================================*/
/**
@file getfem_error_estimate.h
@author Yves Renard <Yves.Renard@insa-lyon.fr>
@author Julien Pommier <Julien.Pommier@insa-toulouse.fr>
@date February 10, 2006.
@brief Definition of a posteriori error estimates.
*/
#ifndef GETFEM_ERROR_ESTIMATE
#define GETFEM_ERROR_ESTIMATE
#include "getfem_mesh_im.h"
#include "getfem_mesh_fem.h"
#include "getfem_inter_element.h"
namespace getfem {
template <typename VECT1, typename VECT2>
class inter_element_normal_derivative_jump
: public getfem::compute_on_inter_element {
protected :
typedef typename gmm::linalg_traits<VECT1>::value_type T;
typedef typename gmm::number_traits<T>::magnitude_type R;
const VECT1 &U;
VECT2 &err;
std::vector<T> coeff1, coeff2, gradn, up;
gmm::dense_matrix<T> grad1, grad2;
virtual void compute_on_gauss_point
(getfem::fem_interpolation_context ctx1, getfem::pfem pf1,
getfem::fem_interpolation_context ctx2, getfem::pfem pf2,
getfem::papprox_integration pai1) {
size_type cv1 = ctx1.convex_num();
size_type cv2 = ctx2.convex_num();
if (cv1 > cv2) {
unsigned qdim = mf.get_qdim(), N = mf.linked_mesh().dim();
slice_vector_on_basic_dof_of_element(mf, U, cv1, coeff1);
// coeff1.resize(mf.nb_basic_dof_of_element(cv1));
// gmm::copy(gmm::sub_vector
// (U, gmm::sub_index(mf.ind_basic_dof_of_element(cv1))),
// coeff1);
slice_vector_on_basic_dof_of_element(mf, U, cv2, coeff2);
// coeff2.resize(mf.nb_basic_dof_of_element(cv2));
// gmm::copy(gmm::sub_vector
// (U, gmm::sub_index(mf.ind_basic_dof_of_element(cv2))),
// coeff2);
gmm::resize(grad1, qdim, N); gmm::resize(grad2, qdim, N);
pf1->interpolation_grad(ctx1, coeff1, grad1, dim_type(qdim));
pf2->interpolation_grad(ctx2, coeff2, grad2, dim_type(qdim));
gradn.resize(qdim); up.resize(N);
const base_matrix& B = ctx1.B();
gmm::mult(B, pgt1->normals()[f1], up);
scalar_type norm = gmm::vect_norm2(up);
scalar_type J = ctx1.J() * norm;
gmm::scale(up, R(1) / norm);
gmm::mult(grad1, up, gradn);
gmm::mult_add(grad2, gmm::scaled(up, R(-1)), gradn);
R w = pai1->integration_coefficients()[ctx1.ii()];
R a = gmm::vect_norm2_sqr(gradn) * w * J;
err[cv1] += a; err[cv2] += a;
}
}
public :
inter_element_normal_derivative_jump
(const VECT1 &UU, VECT2 &errr, const getfem::mesh_im &mmim,
const getfem::mesh_fem &mmf)
: compute_on_inter_element(mmim, mmf), U(UU), err(errr) {
// GMM_ASSERT1(mf.get_qdim() <= 1,
// "Vectorial elements not taken into account ... to be done");
}
};
template <typename VECT1, typename VECT2>
void error_estimate(const mesh_im &mim, const mesh_fem &mf,
const VECT1 &UU, VECT2 &err,
mesh_region rg = mesh_region::all_convexes()) {
typedef typename gmm::linalg_traits<VECT1>::value_type T;
std::vector<T> U(mf.nb_basic_dof());
mf.extend_vector(UU, U);
const mesh &m = mim.linked_mesh();
GMM_ASSERT3(&m == &mf.linked_mesh() &&
gmm::vect_size(err) >= m.convex_index().last_true()+1, "");
rg.from_mesh(m);
GMM_ASSERT1(rg.is_only_convexes(), "Invalid mesh region");
mesh_region sub_rg = rg;
m.intersect_with_mpi_region(sub_rg);
gmm::clear(err);
inter_element_normal_derivative_jump<std::vector<T>, VECT2> iendj(U, err, mim, mf);
for (mr_visitor cv1(sub_rg); !cv1.finished(); ++cv1)
for (short_type f=0; f<m.structure_of_convex(cv1.cv())->nb_faces(); ++f)
iendj.compute_on_face(cv1.cv(), f);
for (mr_visitor cv1(sub_rg); !cv1.finished(); ++cv1)
err[cv1.cv()] *= m.convex_radius_estimate(cv1.cv());
MPI_SUM_VECTOR(err);
}
#ifdef EXPERIMENTAL_PURPOSE_ONLY
void error_estimate_nitsche(const mesh_im & mim,
const mesh_fem &mf_u,
const base_vector &U,
int GAMMAC,
int GAMMAN,
scalar_type lambda,
scalar_type mu,
scalar_type gamma0,
scalar_type f_coeff,
base_vector &ERR);
#endif
}
#endif
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