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element_class_igfem.hh
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element_class_igfem.hh
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/**
* @file element_class_igfem.hh
*
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
*
* @brief Specialization for interface-enriched finite elements
*
*
* Copyright (©) 2010-2012, 2014 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
*/
/* -------------------------------------------------------------------------- */
#include "aka_common.hh"
/* -------------------------------------------------------------------------- */
#ifndef AKANTU_ELEMENT_CLASS_IGFEM_HH_
#define AKANTU_ELEMENT_CLASS_IGFEM_HH_
namespace akantu {
/* -------------------------------------------------------------------------- */
template <InterpolationType interpolation_type>
class InterpolationElement<interpolation_type, _itk_igfem> {
public:
using interpolation_property = InterpolationProperty<interpolation_type>;
/* ------------------------------------------------------------------------ */
/* Member functions */
/* ------------------------------------------------------------------------ */
public:
static void assembleShapes(const Vector<Real> & parent_interpolation,
const Vector<Real> & sub_interpolation,
Vector<Real> & interpolation,
UInt sub_element = 0) {
/// N1, N2, N3 of parent triangle
UInt nb_nodes_parent = InterpolationElement<
interpolation_property::parent_interpolation_type>::getShapeSize();
for (UInt i = 0; i < nb_nodes_parent; ++i) {
interpolation(i) = parent_interpolation(i);
}
/// add the enrichment
UInt * enriched_node = enrichments[sub_element];
for (UInt e = 0; e < nb_enrichments; ++e) {
interpolation(nb_nodes_parent + e) = sub_interpolation(enriched_node[e]);
}
}
static void
assembleShapeDerivatives(const Matrix<Real> & parent_interpolation,
const Matrix<Real> & sub_interpolation,
Matrix<Real> & interpolation, UInt sub_element = 0) {
/// N1, N2, N3 of parent triangle
UInt nb_nodes_parent = InterpolationElement<
interpolation_property::parent_interpolation_type>::getShapeSize();
for (UInt i = 0; i < nb_nodes_parent; ++i) {
Vector<Real> ip(interpolation(i));
ip = parent_interpolation(i);
}
/// add the enrichment
UInt * enriched_node = enrichments[sub_element];
for (UInt e = 0; e < nb_enrichments; ++e) {
Vector<Real> ip(interpolation(nb_nodes_parent + e));
ip = sub_interpolation(enriched_node[e]);
}
}
static void interpolate(const Matrix<Real> & nodal_values,
const Vector<Real> & shapes,
Vector<Real> & interpolated) {
Matrix<Real> interpm(interpolated.storage(), nodal_values.rows(), 1);
Matrix<Real> shapesm(shapes.storage(),
interpolation_property::nb_nodes_per_element, 1);
interpm.mul<false, false>(nodal_values, shapesm);
}
public:
static AKANTU_GET_MACRO_NOT_CONST(
ShapeSize, interpolation_property::nb_nodes_per_element, UInt);
static AKANTU_GET_MACRO_NOT_CONST(
ShapeDerivativesSize,
(interpolation_property::nb_nodes_per_element *
interpolation_property::natural_space_dimension),
UInt);
static AKANTU_GET_MACRO_NOT_CONST(
NaturalSpaceDimension, interpolation_property::natural_space_dimension,
UInt);
static AKANTU_GET_MACRO_NOT_CONST(
NbNodesPerInterpolationElement,
interpolation_property::nb_nodes_per_element, UInt);
static AKANTU_GET_MACRO_NOT_CONST(NbSubElements, interpolation_property::nb_sub_elements, UInt);
static UInt * getSubElementConnectivity(UInt t = 0) {
return &(interpolation_property::sub_element_connectivity[t]);
};
static UInt getNbEnrichments() { return interpolation_property::nb_enrichments; };
static UInt * getSubElementEnrichments(UInt t = 0) { return &(interpolation_property::enrichments[t]); };
protected:
/// storage of the subelement local connectivity
static UInt sub_element_connectivity_vect[];
/// local connectivity of subelements
static UInt * sub_element_connectivity[];
/// nb of subelements
static UInt nb_sub_elements;
/// storage of enrichments
static UInt enrichment_vect[];
static UInt * enrichments[];
static UInt nb_enrichments;
};
} // namespace akantu
#include "interpolation_element_igfem_tmpl.hh"
namespace akantu {
/* -------------------------------------------------------------------------- */
#define AKANTU_DEFINE_IGFEM_ELEMENT_CLASS_PROPERTY( \
elem_type, geom_type, interp_type, parent_el_type, sub_el_type_1, \
sub_el_type_2, elem_kind, sp, min_int_order) \
template <> struct ElementClassProperty<elem_type> { \
static const GeometricalType geometrical_type{geom_type}; \
static const InterpolationType interpolation_type{interp_type}; \
static const ElementType parent_element_type{parent_el_type}; \
static const ElementType sub_element_type_1{sub_el_type_1}; \
static const ElementType sub_element_type_2{sub_el_type_2}; \
static const ElementKind element_kind{elem_kind}; \
static const UInt spatial_dimension{sp}; \
static const UInt minimal_integration_order{min_int_order}; \
}
/* -------------------------------------------------------------------------- */
template <ElementType element_type>
class ElementClass<element_type, _ek_igfem>
: public GeometricalElement<
ElementClassProperty<element_type>::geometrical_type>,
public InterpolationElement<
ElementClassProperty<element_type>::interpolation_type> {
protected:
using geometrical_element =
GeometricalElement<ElementClassProperty<element_type>::geometrical_type>;
using interpolation_element = InterpolationElement<
ElementClassProperty<element_type>::interpolation_type>;
using parent_element =
ElementClass<ElementClassProperty<element_type>::parent_element_type>;
using element_property = ElementClassProperty<element_type>;
using interpolation_property =
typename interpolation_element::interpolation_property;
/* ------------------------------------------------------------------------ */
/* Member functions */
/* ------------------------------------------------------------------------ */
public:
static void getSubElementCoords(const Matrix<Real> & element_coords,
Matrix<Real> & sub_coords,
const UInt sub_element) {
/// get the sub_element_type
/// constexrp ElementType sub_el_type = getSubElementType(sub_element);
UInt nb_nodes_sub_el = 0;
switch (sub_element) {
case 0:
nb_nodes_sub_el =
ElementClass<ElementClassProperty<element_type>::sub_element_type_1>::
getNbNodesPerInterpolationElement();
break;
case 1:
nb_nodes_sub_el =
ElementClass<ElementClassProperty<element_type>::sub_element_type_2>::
getNbNodesPerInterpolationElement();
break;
}
for (UInt i = 0; i < nb_nodes_sub_el; ++i) {
UInt lc = InterpolationElement<
ElementClassProperty<element_type>::interpolation_type>::
sub_element_connectivity[sub_element][i];
Vector<Real> sub_c(sub_coords(i));
sub_c = element_coords(lc);
}
}
static void getParentCoords(const Matrix<Real> & element_coords,
Matrix<Real> & parent_coords) {
const ElementType parent_type =
ElementClassProperty<element_type>::parent_element_type;
UInt nb_nodes_parent_el =
ElementClass<parent_type>::getNbNodesPerInterpolationElement();
for (UInt i = 0; i < nb_nodes_parent_el; ++i) {
Vector<Real> parent_c(parent_coords(i));
parent_c = element_coords(i);
}
}
/// map the points from the reference domain of the subelement to the physical
/// domain
static void mapToPhysicalDomain(const Matrix<Real> & element_coords,
Matrix<Real> & sub_coords,
Matrix<Real> & sub_shapes,
Matrix<Real> & physical_points,
UInt sub_element = 0) {
/// get the sub_element_type
getSubElementCoords(element_coords, sub_coords, sub_element);
/// map the points of the subelements in the physical domain
switch (sub_element) {
case 0:
ElementClass<ElementClassProperty<element_type>::sub_element_type_1>::
interpolate(sub_coords, sub_shapes, physical_points);
break;
case 1:
ElementClass<ElementClassProperty<element_type>::sub_element_type_2>::
interpolate(sub_coords, sub_shapes, physical_points);
break;
}
}
/// map the points from the physical domain to the parent reference domain
static void mapToParentRefDomain(const Matrix<Real> & element_coords,
Matrix<Real> & parent_coords,
Matrix<Real> & physical_points,
Matrix<Real> & natural_coords) {
const ElementType parent_type =
ElementClassProperty<element_type>::parent_element_type;
getParentCoords(element_coords, parent_coords);
/// map the points from the physical domain into the parent reference domain
ElementClass<parent_type>::inverseMap(physical_points, parent_coords,
natural_coords);
}
/// map the points from the subelement reference domain to the parent
/// reference domain
static void mapFromSubRefToParentRef(const Matrix<Real> & element_coords,
Matrix<Real> & parent_coords,
Matrix<Real> & sub_coords,
Matrix<Real> & sub_shapes,
Matrix<Real> & physical_points,
Matrix<Real> & natural_points,
UInt /*nb_points*/, UInt sub_element) {
mapToPhysicalDomain(element_coords, sub_coords, sub_shapes, physical_points,
sub_element);
mapToParentRefDomain(element_coords, parent_coords, physical_points,
natural_points);
}
static void mapFromSubRefToParentRef(const Matrix<Real> & element_coords,
Matrix<Real> & sub_coords,
Matrix<Real> & parent_coords,
Matrix<Real> & sub_shapes,
Matrix<Real> & physical_points,
Matrix<Real> & parent_el_natural_coords,
UInt sub_element) {
mapToPhysicalDomain(element_coords, sub_coords, sub_shapes, physical_points,
sub_element);
mapToParentRefDomain(element_coords, parent_coords, physical_points,
parent_el_natural_coords);
}
/// compute the normal of a surface defined by the function f
static inline void
computeNormalsOnNaturalCoordinates(const Matrix<Real> & /*coord*/,
Matrix<Real> & /*f*/,
Matrix<Real> & /*normals*/) {
AKANTU_TO_IMPLEMENT();
}
/// determine orientation of the element with respect to the interface
static inline UInt getOrientation(const Vector<bool> & is_inside);
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public:
static AKANTU_GET_MACRO_NOT_CONST(Kind, _ek_igfem, ElementKind);
static ElementType getP1ElementType() { AKANTU_TO_IMPLEMENT(); };
static AKANTU_GET_MACRO_NOT_CONST(
SpatialDimension, ElementClassProperty<element_type>::spatial_dimension,
UInt);
static ElementType & getFacetType(UInt /*t*/ = 0) { AKANTU_TO_IMPLEMENT(); }
static ElementType * getFacetTypeInternal() { AKANTU_TO_IMPLEMENT(); }
private:
};
} // namespace akantu
/* -------------------------------------------------------------------------- */
#include "geometrical_element_igfem.hh"
/* -------------------------------------------------------------------------- */
#include "element_class_igfem_segment_3_inline_impl.hh"
#include "element_class_igfem_triangle_4_inline_impl.hh"
#include "element_class_igfem_triangle_5_inline_impl.hh"
/* -------------------------------------------------------------------------- */
#endif /* AKANTU_ELEMENT_CLASS_IGFEM_HH_ */

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