GetFEM  5.4.2
getfem_error_estimate.h
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4  Copyright (C) 1999-2020 Yves Renard, Julien Pommier
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30 ===========================================================================*/
31 
32 
33 /**
34  @file getfem_error_estimate.h
35  @author Yves Renard <Yves.Renard@insa-lyon.fr>
36  @author Julien Pommier <Julien.Pommier@insa-toulouse.fr>
37  @date February 10, 2006.
38  @brief Definition of a posteriori error estimates.
39 */
40 
41 #ifndef GETFEM_ERROR_ESTIMATE
42 #define GETFEM_ERROR_ESTIMATE
43 
44 #include "getfem_mesh_im.h"
45 #include "getfem_mesh_fem.h"
46 #include "getfem_generic_assembly.h"
47 
48 namespace getfem {
49 
50  template <typename VECT1, typename VECT2>
51  void error_estimate(const mesh_im &mim, const mesh_fem &mf,
52  const VECT1 &UU, VECT2 &err,
53  mesh_region rg = mesh_region::all_convexes()) {
54 
55  const mesh &m = mim.linked_mesh();
56  rg.from_mesh(m);
57  GMM_ASSERT3(&m == &mf.linked_mesh() &&
58  gmm::vect_size(err) >= m.nb_allocated_convex(), "");
59 
60  const mesh_fem &mf0 = classical_mesh_fem(m, 0);
61 
62  getfem::ga_workspace workspace;
63  mesh_region inner_faces = inner_faces_of_mesh(m, rg);
64  getfem::size_type nbdof = mf0.nb_dof();
65  getfem::base_vector Z(nbdof);
66  getfem::base_vector U(gmm::vect_size(UU));
67  gmm::copy(UU, U);
68  workspace.add_fem_constant("u", mf, U);
69  workspace.add_fem_variable("z", mf0, gmm::sub_interval(0, nbdof), Z);
70  workspace.add_expression
71  ("element_size"
72  "*Norm_sqr(Grad_u.Normal-Interpolate(Grad_u,neighbor_element).Normal)"
73  "*(Test_z+Interpolate(Test_z,neighbor_element))", mim, inner_faces);
74  workspace.set_assembled_vector(Z);
75  workspace.assembly(1);
76  gmm::clear(err);
77 
78  for (mr_visitor cv1(rg); !cv1.finished(); ++cv1)
79  err[cv1.cv()] = Z[mf0.ind_basic_dof_of_element(cv1.cv())[0]];
80  }
81 
82 #ifdef EXPERIMENTAL_PURPOSE_ONLY
83 
84 
85  void error_estimate_nitsche(const mesh_im & mim,
86  const mesh_fem &mf_u,
87  const base_vector &U,
88  int GAMMAC,
89  int GAMMAN,
90  scalar_type lambda,
91  scalar_type mu,
92  scalar_type gamma0,
93  scalar_type f_coeff,
94  scalar_type vertical_force,
95  base_vector &ERR);
96 
97 
98 
99 #endif
100 
101 
102 }
103 
104 #endif
105 
bgeot::size_type
size_t size_type
used as the common size type in the library
Definition: bgeot_poly.h:49
gmm::clear
void clear(L &l)
clear (fill with zeros) a vector or matrix.
Definition: gmm_blas.h:59
getfem::inner_faces_of_mesh
mesh_region APIDECL inner_faces_of_mesh(const mesh &m, const mesh_region &mr=mesh_region::all_convexes())
Select all the faces sharing at least two element of the given mesh region.
Definition: getfem_mesh.cc:877
getfem::mesh_region::all_convexes
static mesh_region all_convexes()
provide a default value for the mesh_region parameters of assembly procedures etc.
Definition: getfem_mesh_region.h:142
getfem
GEneric Tool for Finite Element Methods.
Definition: getfem_accumulated_distro.h:46
getfem_mesh_im.h
Define the getfem::mesh_im class (integration of getfem::mesh_fem).
getfem_mesh_fem.h
Define the getfem::mesh_fem class.
getfem_generic_assembly.h
A language for generic assembly of pde boundary value problems.
getfem::classical_mesh_fem
const mesh_fem & classical_mesh_fem(const mesh &mesh, dim_type degree, dim_type qdim=1, bool complete=false)
Gives the descriptor of a classical finite element method of degree K on mesh.
Definition: getfem_mesh_fem.cc:862