DUNE-FEM (unstable)
axisalignedcubegeometry.hh
Go to the documentation of this file.
3// SPDX-FileCopyrightInfo: Copyright © DUNE Project contributors, see file LICENSE.md in module root
100 using Jacobian = std::conditional_t<dim==coorddim, DiagonalMatrix<ctype,dim>, FieldMatrix<ctype,coorddim,dim> >;
109 using JacobianInverse = std::conditional_t<dim==coorddim, DiagonalMatrix<ctype,dim>, FieldMatrix<ctype,dim,coorddim> >;
217 JacobianInverseTransposed jacobianInverseTransposed([[maybe_unused]] const LocalCoordinate& local) const
316 friend typename Dune::ReferenceElements< ctype, dim >::ReferenceElement referenceElement ( const AxisAlignedCubeGeometry & /* geometry */ )
349 void jacobianInverseTransposed ( FieldMatrix<ctype,coorddim,dim> &jacobianInverseTransposed ) const
A geometry implementation for axis-aligned hypercubes.
Definition: axisalignedcubegeometry.hh:50
Volume volume() const
Return the element volume.
Definition: axisalignedcubegeometry.hh:295
AxisAlignedCubeGeometry(const Dune::FieldVector< ctype, coorddim > lower, const Dune::FieldVector< ctype, coorddim > upper, const std::bitset< coorddim > &axes)
Constructor from a lower left and an upper right corner.
Definition: axisalignedcubegeometry.hh:142
AxisAlignedCubeGeometry(const Dune::FieldVector< ctype, coorddim > lower, const Dune::FieldVector< ctype, coorddim > upper)
Constructor from a lower left and an upper right corner.
Definition: axisalignedcubegeometry.hh:124
JacobianInverse jacobianInverse(const LocalCoordinate &local) const
Inverse Jacobian of the transformation from local to global coordinates.
Definition: axisalignedcubegeometry.hh:235
JacobianInverseTransposed jacobianInverseTransposed(const LocalCoordinate &local) const
Inverse Jacobian transposed of the transformation from local to global coordinates.
Definition: axisalignedcubegeometry.hh:217
std::conditional< dim==coorddim, DiagonalMatrix< ctype, dim >, FieldMatrix< ctype, dim, coorddim > >::type JacobianTransposed
Return type of jacobianTransposed.
Definition: axisalignedcubegeometry.hh:81
AxisAlignedCubeGeometry(const Dune::FieldVector< ctype, coorddim > lower)
Constructor from a single point only.
Definition: axisalignedcubegeometry.hh:159
static constexpr int mydimension
Dimension of the cube element.
Definition: axisalignedcubegeometry.hh:56
static constexpr int coorddimension
Dimension of the world space that the cube element is embedded in.
Definition: axisalignedcubegeometry.hh:59
GlobalCoordinate corner(int k) const
Return world coordinates of the k-th corner of the element.
Definition: axisalignedcubegeometry.hh:269
ctype Volume
Type used for volume.
Definition: axisalignedcubegeometry.hh:71
FieldVector< ctype, dim > LocalCoordinate
Type used for a vector of element coordinates.
Definition: axisalignedcubegeometry.hh:65
JacobianTransposed jacobianTransposed(const LocalCoordinate &local) const
Jacobian transposed of the transformation from local to global coordinates.
Definition: axisalignedcubegeometry.hh:205
FieldVector< ctype, coorddim > GlobalCoordinate
Type used for a vector of world coordinates.
Definition: axisalignedcubegeometry.hh:68
LocalCoordinate local(const GlobalCoordinate &global) const
Map a point in global (world) coordinates to element coordinates.
Definition: axisalignedcubegeometry.hh:189
CoordType ctype
Type used for single coordinate coefficients.
Definition: axisalignedcubegeometry.hh:62
std::conditional_t< dim==coorddim, DiagonalMatrix< ctype, dim >, FieldMatrix< ctype, coorddim, dim > > Jacobian
Return type of jacobian.
Definition: axisalignedcubegeometry.hh:100
GeometryType type() const
Type of the cube. Here: a hypercube of the correct dimension.
Definition: axisalignedcubegeometry.hh:164
int corners() const
Return the number of corners of the element.
Definition: axisalignedcubegeometry.hh:263
Jacobian jacobian(const LocalCoordinate &local) const
Jacobian of the transformation from local to global coordinates.
Definition: axisalignedcubegeometry.hh:229
std::conditional< dim==coorddim, DiagonalMatrix< ctype, dim >, FieldMatrix< ctype, coorddim, dim > >::type JacobianInverseTransposed
Return type of jacobianInverseTransposed.
Definition: axisalignedcubegeometry.hh:91
Volume integrationElement(const LocalCoordinate &local) const
Return the integration element, i.e., the determinant term in the integral transformation formula.
Definition: axisalignedcubegeometry.hh:243
GlobalCoordinate center() const
Return center of mass of the element.
Definition: axisalignedcubegeometry.hh:249
AxisAlignedCubeGeometry()=default
Constructs an empty geometry.
bool affine() const
Return if the element is affine. Here: yes.
Definition: axisalignedcubegeometry.hh:311
std::conditional_t< dim==coorddim, DiagonalMatrix< ctype, dim >, FieldMatrix< ctype, dim, coorddim > > JacobianInverse
Return type of jacobianInverse.
Definition: axisalignedcubegeometry.hh:109
GlobalCoordinate global(const LocalCoordinate &local) const
Map a point in local (element) coordinates to world coordinates.
Definition: axisalignedcubegeometry.hh:170
Unique label for each type of entities that can occur in DUNE grids.
Definition: type.hh:114
This file implements a quadratic diagonal matrix of fixed size.
Implements a matrix constructed from a given type representing a field and compile-time given number ...
Implements a vector constructed from a given type representing a field and a compile-time given size.
constexpr GeometryType cube(unsigned int dim)
Returns a GeometryType representing a hypercube of dimension dim.
Definition: type.hh:462
Mask< V > mask(ADLTag< 0, std::is_same< V, Mask< V > >::value >, const V &v)
implements Simd::mask()
Definition: defaults.hh:153
typename Container::ReferenceElement ReferenceElement
The reference element type.
Definition: referenceelements.hh:146
static const ReferenceElement & cube()
get hypercube reference elements
Definition: referenceelements.hh:168
A unique label for each type of element that can occur in a grid.
|
Legal Statements / Impressum |
Hosted by TU Dresden |
generated with Hugo v0.111.3
(Nov 12, 23:30, 2024)