1D hp-FEM More...
Classes | |
| class | AdvectionElementMatrix |
| Element mass matrix for hp 1D FEM with Karniadakis basis on the reference intervall. More... | |
| class | ArrayElementFormula |
| Array of formula values on quadrature points. More... | |
| class | BaseElement |
| class | BiLaplace |
| A function class to calculate element matrices for the Bi-Laplacian. More... | |
| class | BilinearFormHelper |
| Helper class for bilinearforms a(u,v), where u is i-form and v is j-form. More... | |
| class | BilinearFormHelper< 0, 0, F > |
| class | BilinearFormHelper< 1, 1, F > |
| Helper class for bilinearforms a(u,v), where u and v are 1-forms. More... | |
| class | BilinearFormHelper< 2, 2, F > |
| Helper class for bilinearforms a(u,v), where u and v are 2-forms. More... | |
| class | BilinearFormVtxHelper |
| Helper class for bilinearforms a(u,v), where a is a i-j Form that just works on the Vertices, like JUMP or MEAN and products of it on the end of the elements. More... | |
| class | DualSpace |
| Class for a dual space to a continuous FE space on edges. More... | |
| class | ElementFormulaInterpGrad |
| class | ExplicitResidual1D |
| class | GenericElement |
| 1D generic element. More... | |
| class | Grad |
| The gradient of the approximated function in a FE space. More... | |
| class | GradLinearForm |
| Linear form on edges in nD. More... | |
| class | hpAdaptiveSpaceL2 |
| A 1D polynomial space spanned by Legrendre type polynomials. More... | |
| class | Identity |
| A function class to calculate element matrices for the mass matrix. More... | |
| class | IdentityParallel |
| A function class to calculate element matrices for the mass matrix for elements that are shifted. More... | |
| class | IntegrableElm |
| Class holding the quadrature rule and the cell of a 1D element. More... | |
| class | Jump1Jump1 |
| A function class to calculate element matrices for the Product of the jumps of the derivative. More... | |
| class | KarniadakisMixin |
| The following two types are shape function mixins. More... | |
| class | Laplace |
| A function class to calculate element matrices for the Laplacian. More... | |
| class | LegendreMixin |
| Legendre shape functions mixin. More... | |
| class | LevelRiesz |
| This class creates a linearform corresponding to the integral: More... | |
| class | LevelRieszElement |
| This class creates a linearform corresponding to the local contribution of one cell to the integral: More... | |
| class | LinearFormGradInterp_Grad |
| Linear form on edges in nD. More... | |
| class | LinearFormHelper |
| Helper class for Linearforms l(v), where v is i-form. More... | |
| class | LinearFormHelper< 0, F > |
| Helper class for linearforms l(v), where v is a 0-form. More... | |
| class | LinearFormHelper< 1, F > |
| Helper class for linearforms l(v), where v is a 1-form. More... | |
| class | LineGraphics |
| Handles graphics for 1D hp FEM elements. More... | |
| class | MassElementMatrix |
| Element mass matrix for hp 1D FEM with Karniadakis basis on the reference intervall. More... | |
| class | Mean2Jump1 |
| A function class to calculate element matrices for the Product the mean of the second derivative and of the Jump of the derivative. More... | |
| class | Neumann |
| Linear form on edges in nD. More... | |
| class | PointEvaluation |
| Point evaluation in 1D. More... | |
| class | RefineOrRaise |
| Refines element or raises its polynomial degree. More... | |
| class | Riesz |
| Linear form on edges in nD. More... | |
| class | RysMixin |
| Rys shape functions mixin. More... | |
| class | RysSpace |
| A 1D polynomial space spanned by the Rys basis. More... | |
| class | Space |
| A 1D hp FEM space with continuous, picewise polynomial basis functions. More... | |
| class | StiffElementMatrix |
| Element stiffness matrix for hp 1D FEM with Karniadakis basis on the reference intervall. More... | |
| class | Value |
| The approximated function in a FE space. More... | |
Typedefs | |
| template<class F > | |
| using | Element = GenericElement< KarniadakisMixin< F > > |
| template aliases for backwards compatibility More... | |
| template<class F > | |
| using | LegendreElement = GenericElement< hp1D::LegendreMixin< F > > |
| template<class F > | |
| using | RysElement = GenericElement< RysMixin< F > > |
Variables | |
| static AdvectionElementMatrix | advElemMatrix |
| static MassElementMatrix | massElemMatrix |
| static StiffElementMatrix | stiffElemMatrix |
| Declaration of static element matrices. More... | |
Detailed Description
1D hp-FEM
Typedef Documentation
◆ Element
template<class F >
| using hp1D::Element = typedef GenericElement<KarniadakisMixin<F> > |
template aliases for backwards compatibility
Definition at line 270 of file element.hh.
◆ LegendreElement
template<class F >
| using hp1D::LegendreElement = typedef GenericElement<hp1D::LegendreMixin<F> > |
Definition at line 274 of file element.hh.
◆ RysElement
template<class F >
| using hp1D::RysElement = typedef GenericElement<RysMixin<F> > |
Definition at line 56 of file rysElement.hh.
Variable Documentation
◆ advElemMatrix
|
static |
Definition at line 201 of file matrices.hh.
◆ massElemMatrix
|
static |
Definition at line 200 of file matrices.hh.
◆ stiffElemMatrix
|
static |
Declaration of static element matrices.
Definition at line 199 of file matrices.hh.