virtual base class for local shape function sets More...
#include <local_shape_function_set.h>
Inheritance diagram for ug::LocalShapeFunctionSet< TDim, TShape, TGrad >:
Public Types | |
| typedef TGrad | grad_type |
| Gradient type. More... | |
| typedef MathVector< dim > | position_type |
| Domain position type. More... | |
| typedef TShape | shape_type |
| Shape type. More... | |
Public Member Functions | |
| virtual bool | continuous () const =0 |
| returns if space constructs continuous functions More... | |
| virtual void | grad (grad_type &g, size_t i, const MathVector< dim > &x) const =0 |
| evaluates the gradient of the shape function More... | |
| virtual void | grads (std::vector< std::vector< grad_type > > &vvGrad, const std::vector< MathVector< dim > > &vLocPos) const =0 |
| returns all gradients evaluated at a several points More... | |
| virtual void | shape (shape_type &shape, size_t i, const MathVector< dim > &x) const =0 |
| evaluates the shape function More... | |
| virtual shape_type | shape (size_t i, const MathVector< dim > &x) const =0 |
| evaluates the shape function More... | |
| virtual void | shapes (std::vector< std::vector< shape_type > > &vvShape, const std::vector< MathVector< dim > > &vLocPos) const =0 |
| returns all shape functions evaluated at several point More... | |
| virtual | ~LocalShapeFunctionSet () |
| virtual destructor More... | |
| virtual void | shapes (shape_type *vShape, const MathVector< dim > &x) const =0 |
| returns all shape functions evaluated at a point More... | |
| virtual void | shapes (std::vector< shape_type > &vShape, const MathVector< dim > &x) const =0 |
| returns all shape functions evaluated at a point More... | |
| virtual void | grads (grad_type *vGrad, const MathVector< dim > &x) const =0 |
| returns all gradients evaluated at a point More... | |
| virtual void | grads (std::vector< grad_type > &vGrad, const MathVector< dim > &x) const =0 |
| returns all gradients evaluated at a point More... | |
| Public Member Functions inherited from ug::DimLocalDoFSet< TDim > | |
| DimLocalDoFSet () | |
| constructor More... | |
| virtual bool | exact_position_available () const =0 |
| returns if the local dof position are exact More... | |
| bool | operator!= (const DimLocalDoFSet< TDim > &v) const |
| inequality check More... | |
| bool | operator== (const DimLocalDoFSet< TDim > &v) const |
| equality check More... | |
| virtual bool | position (size_t i, MathVector< TDim > &pos) const =0 |
| local position of DoF i More... | |
| Public Member Functions inherited from ug::LocalDoFSet | |
| int | dim () const |
| returns the reference dimension More... | |
| virtual const LocalDoF & | local_dof (size_t dof) const =0 |
| returns the DoFs storage More... | |
| size_t | num_dof (int d, size_t id) const |
| returns the number of DoFs on a sub-geometric object of dim and id More... | |
| virtual size_t | num_dof (ReferenceObjectID roid) const =0 |
| returns the number of DoFs on a sub-geometric object type More... | |
| bool | operator!= (const LocalDoFSet &v) const |
| inequality check More... | |
| bool | operator== (const LocalDoFSet &v) const |
| equality check More... | |
| virtual ReferenceObjectID | roid () const =0 |
| returns the Reference object id of the corresponding grid object More... | |
| virtual | ~LocalDoFSet () |
| virtual destructor More... | |
| size_t | num_dof () const |
| virtual size_t | num_sh () const |
Static Public Attributes | |
| static const int | dim = TDim |
| Dimension, where shape functions are defined. More... | |
Detailed Description
template<int TDim, typename TShape = number, typename TGrad = MathVector<TDim>>
class ug::LocalShapeFunctionSet< TDim, TShape, TGrad >
virtual base class for local shape function sets
This class is a base class for the supply of local shape functions on finite elements. The class provides evaluation of the shape functions and the gradients at arbitrary points in the interior of a reference element.
- Template Parameters
-
TDim Reference Element Dimension TShape type of Range of Shape Functions TGrad type of gradient of shape functions
Member Typedef Documentation
◆ grad_type
| typedef TGrad ug::LocalShapeFunctionSet< TDim, TShape, TGrad >::grad_type |
Gradient type.
◆ position_type
| typedef MathVector<dim> ug::LocalShapeFunctionSet< TDim, TShape, TGrad >::position_type |
Domain position type.
◆ shape_type
| typedef TShape ug::LocalShapeFunctionSet< TDim, TShape, TGrad >::shape_type |
Shape type.
Constructor & Destructor Documentation
◆ ~LocalShapeFunctionSet()
|
inlinevirtual |
virtual destructor
Member Function Documentation
◆ continuous()
|
pure virtual |
returns if space constructs continuous functions
Implemented in ug::LocalShapeFunctionSetWrapper< TImpl >.
◆ grad()
|
pure virtual |
evaluates the gradient of the shape function
This function returns the gradient of Shape Function i at an element-local evaluation point.
- Parameters
-
[in] i number of DoF [in] x Position on reference element (evaluation point)
- Returns
- gradient at point
◆ grads() [1/3]
|
pure virtual |
returns all gradients evaluated at a point
This function returns the gradients of all Shape Functions at an element-local evaluation point in an array.
- Parameters
-
[out] vGrad Vector of gradients [in] x Position on reference element (evaluation point)
Referenced by ug::ComputeGradientCrouzeixRaviart(), ug::ComputeGradientLagrange1(), ug::GridFunctionGradientData< TGridFunction >::eval_and_deriv(), ug::GradientDataExport< dim >::eval_and_deriv(), ug::GridFunctionGradientComponentData< TGridFunction >::eval_and_deriv(), ug::GradientEvaluator_LagrangeP1< TFunction >::evaluate(), ug::GlobalGridFunctionGradientData< TGridFunction >::evaluate(), ug::ExplicitGridFunctionGradient< TGridFunction >::evaluate(), ug::H1SemiDistIntegrand< TGridFunction >::evaluate(), ug::H1EnergyDistIntegrand< TGridFunction >::evaluate(), ug::H1DistIntegrand< TGridFunction >::evaluate(), ug::H1ErrorIntegrand< TGridFunction >::evaluate(), ug::H1SemiIntegrand< TGridFunction >::evaluate(), ug::H1EnergyIntegrand< TGridFunction >::evaluate(), ug::H1NormIntegrand< TGridFunction >::evaluate(), ug::ConvectionShapesLinearProfileSkewedUpwind< TDim >::update(), ug::HFV1Geometry< TElem, TWorldDim >::update(), ug::DimHFV1Geometry< TDim, TWorldDim >::update(), ug::DimFV1Geometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimFV1IBGeometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimCRFVGeometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimFVGeometry< TWorldDim, TDim >::update_boundary_faces(), ug::DimFEGeometry< TWorldDim, TRefDim >::update_boundary_faces(), ug::DimCRFVGeometry< TDim, TWorldDim >::update_hanging(), ug::DimFV1Geometry< TDim, TWorldDim >::update_local(), ug::DimFEGeometry< TWorldDim, TRefDim >::update_local(), ug::DimFVGeometry< TWorldDim, TDim >::update_local(), ug::DimFV1IBGeometry< TDim, TWorldDim >::update_local_data(), and ug::DimCRFVGeometry< TDim, TWorldDim >::update_local_data().
◆ grads() [2/3]
|
pure virtual |
returns all gradients evaluated at a point
This function returns the gradients of all Shape Functions at an element-local evaluation point in an array.
- Parameters
-
[out] vGrad Vector of gradients [in] x Position on reference element (evaluation point)
◆ grads() [3/3]
|
pure virtual |
◆ shape() [1/2]
|
pure virtual |
evaluates the shape function
This function returns the value of Shape Function i at an element-local evaluation point.
- Parameters
-
[out] shape the shape function [in] i number of DoF [in] x Position on reference element (evaluation point)
◆ shape() [2/2]
|
pure virtual |
evaluates the shape function
This function returns the value of Shape Function i at an element-local evaluation point.
- Parameters
-
[in] i number of DoF [in] x Position on reference element (evaluation point)
- Returns
- shape function value at point
Implemented in ug::LocalShapeFunctionSetWrapper< TImpl >.
Referenced by ug::L2DistIntegrand< TGridFunction >::evaluate(), ug::H1SemiDistIntegrand< TGridFunction >::evaluate(), ug::H1EnergyDistIntegrand< TGridFunction >::evaluate(), ug::H1DistIntegrand< TGridFunction >::evaluate(), ug::L2ErrorIntegrand< TGridFunction >::evaluate(), ug::H1ErrorIntegrand< TGridFunction >::evaluate(), ug::L2Integrand< TGridFunction >::evaluate(), ug::H1SemiIntegrand< TGridFunction >::evaluate(), ug::H1EnergyIntegrand< TGridFunction >::evaluate(), ug::H1NormIntegrand< TGridFunction >::evaluate(), and ug::StdFuncIntegrand< TGridFunction >::evaluate().
◆ shapes() [1/3]
|
pure virtual |
returns all shape functions evaluated at a point
This function returns the values of all Shape Functions at an element-local evaluation point in an array.
- Parameters
-
[out] vShape Vector of Shapes [in] x Position on reference element (evaluation point)
Referenced by ug::DirichletBoundary< TDomain, TAlgebra >::adjust_error(), ug::GridFunctionVectorData< TGridFunction >::eval_and_deriv(), ug::VectorDataExport< dim >::eval_and_deriv(), ug::GridFunctionNumberData< TGridFunction >::eval_and_deriv(), ug::ValueDataExport< dim >::eval_and_deriv(), ug::ExplicitGridFunctionVector< TGridFunction >::evaluate(), ug::GlobalGridFunctionNumberData< TGridFunction, elemDim >::evaluate(), ug::ExplicitGridFunctionValue< TGridFunction >::evaluate(), ug::FV1ManifoldGeometry< TElem, TWorldDim >::FV1ManifoldGeometry(), ug::CrouzeixRaviartElemTransfer< TDomain >::prolongate(), ug::StdLagrangeElemTransfer< TDomain >::prolongate(), ug::ProlongateElemwise(), ug::RestrictElemwise(), ug::ShapesAtGlobalPositionElem(), ug::ShapesAtGlobalPositionVertex(), ug::ConvectionShapesLinearProfileSkewedUpwind< TDim >::update(), ug::HFV1ManifoldGeometry< TElem, TWorldDim >::update(), ug::HFV1Geometry< TElem, TWorldDim >::update(), ug::DimHFV1Geometry< TDim, TWorldDim >::update(), ug::DimFV1Geometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimFV1IBGeometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimCRFVGeometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimFVGeometry< TWorldDim, TDim >::update_boundary_faces(), ug::DimFEGeometry< TWorldDim, TRefDim >::update_boundary_faces(), ug::DimCRFVGeometry< TDim, TWorldDim >::update_hanging(), ug::DimFV1Geometry< TDim, TWorldDim >::update_local(), ug::DimFEGeometry< TWorldDim, TRefDim >::update_local(), ug::DimFVGeometry< TWorldDim, TDim >::update_local(), ug::DimFV1IBGeometry< TDim, TWorldDim >::update_local_data(), ug::DimCRFVGeometry< TDim, TWorldDim >::update_local_data(), and ug::VTKOutput< TDim >::write_cell_values_elementwise().
◆ shapes() [2/3]
|
pure virtual |
returns all shape functions evaluated at a point
This function returns the values of all Shape Functions at an element-local evaluation point in an array.
- Parameters
-
[out] vShape Vector of Shapes [in] x Position on reference element (evaluation point)
◆ shapes() [3/3]
|
pure virtual |
Member Data Documentation
◆ dim
|
static |
Dimension, where shape functions are defined.
The documentation for this class was generated from the following file:
- ugbase/lib_disc/local_finite_element/local_shape_function_set.h
