/usr/include/getfem/getfem_Xfem.h is in libgetfem++-dev 4.2.1~beta1~svn4482~dfsg-2build1.
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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 | /* -*- c++ -*- (enables emacs c++ mode) */
/*===========================================================================
Copyright (C) 2003-2012 Yves Renard
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_Xfem.h
@author Yves Renard <Yves.Renard@insa-lyon.fr>
@date April 8, 2003.
@brief eXtended Finite Element Method.
what is an Xfem ?
It is a "base" fem (for example PK(2,2)), with additional base
functions.
These additionnal base functions are the product of:
- a global function (the virtual_Xfem_func)
- base functions of another fem (for example PK(2,1))
The Xfem is built using the add_func member function, which takes
as parameters, a global function and a fem.
example of use: enrichment of the finite elements space with
particular functions, which may represent discontinuities of the
field in some elements, or singularities in the field (crack tip
functions..)
*/
#include "getfem_fem.h"
#include "getfem_mesh_fem.h"
/* Works only for tau-equivalent elements */
namespace getfem
{
struct Xfem_func_context {
base_node xreal, xref;
pfem pf;
bgeot::pgeometric_trans pgt;
size_type base_num; /* number of the current base function of pf */
const base_matrix& G;
Xfem_func_context(const fem_interpolation_context &c) :
xreal(c.xreal()), xref(c.xref()), pgt(c.pgt()), G(c.G()) {}
};
// Object representing global functions. To be derived.
struct virtual_Xfem_func {
/*
*/
virtual scalar_type val(const Xfem_func_context&)
{ GMM_ASSERT1(false, "this Xfem_func has no value"); }
virtual base_small_vector grad(const Xfem_func_context&)
{ GMM_ASSERT1(false, "this Xfem_func has no gradient"); }
virtual base_matrix hess(const Xfem_func_context&)
{ GMM_ASSERT1(false, "this Xfem_func has no hessian"); }
virtual ~virtual_Xfem_func() {}
};
typedef virtual_Xfem_func *pXfem_func;
// Xfem definition
class Xfem : public virtual_fem {
protected:
pfem pfb; // base fem
std::vector<pfem> uniq_pfe;
std::vector<size_type> func_pf; // nb_func fems which are enriched (indexes in the array uniq_pfe)
bool is_valid;
size_type nb_func;
std::vector<pXfem_func> funcs; // List of functions to be added
std::vector<size_type> func_indices;
void get_fem_interpolation_context_tab(
const fem_interpolation_context& c0,
std::vector<fem_interpolation_context>& vc) const;
pfem pfe(size_type k) const { return uniq_pfe[func_pf[k]]; }
public:
void valid(void);
virtual size_type nb_dof(size_type) const;
/* ind should be > 0 */
void add_func(pfem pf, pXfem_func pXf,
size_type ind = size_type(-1));
void base_value(const base_node &x, base_tensor &t) const;
void grad_base_value(const base_node &x, base_tensor &t) const;
void hess_base_value(const base_node &x, base_tensor &t) const;
void real_base_value(const fem_interpolation_context& c,
base_tensor &t, bool = true) const;
void real_grad_base_value(const fem_interpolation_context& c,
base_tensor &t, bool = true) const;
void real_hess_base_value(const fem_interpolation_context& c,
base_tensor &t, bool = true) const;
void init(pfem pf);
Xfem(pfem pf);
};
} /* end of namespace getfem. */
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