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fe_geom_impl.h
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1/*
2 * Copyright (c) 2013-2015: G-CSC, Goethe University Frankfurt
3 * Author: Andreas Vogel
4 *
5 * This file is part of UG4.
6 *
7 * UG4 is free software: you can redistribute it and/or modify it under the
8 * terms of the GNU Lesser General Public License version 3 (as published by the
9 * Free Software Foundation) with the following additional attribution
10 * requirements (according to LGPL/GPL v3 §7):
11 *
12 * (1) The following notice must be displayed in the Appropriate Legal Notices
13 * of covered and combined works: "Based on UG4 (www.ug4.org/license)".
14 *
15 * (2) The following notice must be displayed at a prominent place in the
16 * terminal output of covered works: "Based on UG4 (www.ug4.org/license)".
17 *
18 * (3) The following bibliography is recommended for citation and must be
19 * preserved in all covered files:
20 * "Reiter, S., Vogel, A., Heppner, I., Rupp, M., and Wittum, G. A massively
21 * parallel geometric multigrid solver on hierarchically distributed grids.
22 * Computing and visualization in science 16, 4 (2013), 151-164"
23 * "Vogel, A., Reiter, S., Rupp, M., Nägel, A., and Wittum, G. UG4 -- a novel
24 * flexible software system for simulating pde based models on high performance
25 * computers. Computing and visualization in science 16, 4 (2013), 165-179"
26 *
27 * This program is distributed in the hope that it will be useful,
28 * but WITHOUT ANY WARRANTY; without even the implied warranty of
29 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
30 * GNU Lesser General Public License for more details.
31 */
32
33#include "fe_geom.h"
34
35namespace ug{
36
38// FEGeometry
40
41template < typename TElem, int TWorldDim,
42 typename TTrialSpace, typename TQuadratureRule>
45: m_rQuadRule(Provider<quad_rule_type>::get()),
46 m_rTrialSpace(Provider<trial_space_type>::get())
47{
48 // evaluate local shapes and gradients
49 for(size_t ip = 0; ip < nip; ++ip)
50 for(size_t sh = 0; sh < nsh; ++sh)
51 {
52 m_vvShape[ip][sh] = m_rTrialSpace.shape(sh, m_rQuadRule.point(ip));
53 m_rTrialSpace.grad(m_vvGradLocal[ip][sh], sh, m_rQuadRule.point(ip));
54 }
55}
56
57template < typename TElem, int TWorldDim,
58 typename TTrialSpace, typename TQuadratureRule>
59void
61update_local(ReferenceObjectID roid, const LFEID& lfeID, size_t orderQuad)
62{
64 UG_THROW("FEGeometry::update: Geometry only for "
66 <<roid<<" requested.");
67
68 if(orderQuad > m_rQuadRule.order())
69 UG_THROW("FEGeometry::update: Geometry only for order "
70 << m_rQuadRule.order()<<", but order "<<
71 orderQuad<<" requested.");
72}
73
74template < typename TElem, int TWorldDim,
75 typename TTrialSpace, typename TQuadratureRule>
76void
78update(GridObject* elem, const MathVector<worldDim>* vCorner,
79 const LFEID& lfeID, size_t orderQuad)
80{
81// check
82 UG_ASSERT(orderQuad <= m_rQuadRule.order(), "Wrong order requested.");
83
84 UG_ASSERT(dynamic_cast<TElem*>(elem) != NULL, "Wrong element type.");
85 TElem* pElem = static_cast<TElem*>(elem);
86
87// check if element changed
88 if(pElem == m_pElem) return;
89 else m_pElem = pElem;
90
91// update the mapping for the new corners
92 m_mapping.update(vCorner);
93
94// compute global integration points
95 m_mapping.local_to_global(&m_vIPGlobal[0], local_ips(), nip);
96
97// evaluate global data
98 m_mapping.jacobian_transposed_inverse(&m_vJTInv[0], &m_vDetJ[0],
99 local_ips(), nip);
100
101// compute global gradients
102 for(size_t ip = 0; ip < nip; ++ip)
103 for(size_t sh = 0; sh < nsh; ++sh)
104 MatVecMult(m_vvGradGlobal[ip][sh],
105 m_vJTInv[ip], m_vvGradLocal[ip][sh]);
106}
107
108} // end namespace ug
TTrialSpace trial_space_type
type of trial space
Definition fe_geom.h:62
static const size_t nip
number of integration points
Definition fe_geom.h:71
const quad_rule_type & m_rQuadRule
Quadrature rule.
Definition fe_geom.h:152
TQuadratureRule quad_rule_type
type of quadrature rule
Definition fe_geom.h:65
FEGeometry()
Constructor.
Definition fe_geom_impl.h:44
number m_vvShape[nip][nsh]
shape functions evaluated at ip
Definition fe_geom.h:164
static const size_t nsh
number of shape functions
Definition fe_geom.h:68
const trial_space_type & m_rTrialSpace
Quadrature rule.
Definition fe_geom.h:155
MathVector< dim > m_vvGradLocal[nip][nsh]
global gradient evaluated at ip
Definition fe_geom.h:167
void update(GridObject *pElem, const MathVector< worldDim > *vCorner)
update Geometry for corners
Definition fe_geom.h:134
void update_local(ReferenceObjectID roid, const LFEID &lfeID, size_t orderQuad)
update Geometry for roid
Definition fe_geom_impl.h:61
The base class for all geometric objects, such as vertices, edges, faces, volumes,...
Definition grid_base_objects.h:157
Identifier for Local Finite Elements.
Definition local_finite_element_id.h:98
a mathematical Vector with N entries.
Definition math_vector.h:97
Provider, holding a single instance of an object.
Definition provider.h:48
Definition grid_base_object_traits.h:68
#define UG_ASSERT(expr, msg)
Definition assert.h:70
#define UG_THROW(msg)
Definition error.h:57
void MatVecMult(vector_t_out &vOut, const matrix_t &m, const vector_t_in &v)
Matrix - Vector Multiplication.
Definition math_matrix_vector_functions_common_impl.hpp:49
the ug namespace
ReferenceObjectID
these ids are used to identify the shape of a geometric object.
Definition grid_base_objects.h:74