GenericEllipticProblem< GV, RF > Class Template Reference

Public Types
typedef Dune::PDELab::ConvectionDiffusionParameterTraits< GV, RF >	Traits
typedef Dune::PDELab::ConvectionDiffusionParameterTraits< GV, RF >	Traits
typedef Dune::PDELab::ConvectionDiffusionParameterTraits< GV, RF >	Traits
typedef Dune::PDELab::ConvectionDiffusionParameterTraits< GV, RF >	Traits

Public Member Functions
Traits::PermTensorType	A (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	tensor diffusion coefficient
Traits::RangeType	b (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	velocity field
Traits::RangeFieldType	c (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	sink term
Traits::RangeFieldType	f (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	source term
BCType	bctype (const typename Traits::IntersectionType &is, const typename Traits::IntersectionDomainType &xlocal) const
	boundary condition type function
Traits::RangeFieldType	g (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	Dirichlet boundary condition value.
Traits::RangeFieldType	j (const typename Traits::IntersectionType &is, const typename Traits::IntersectionDomainType &xlocal) const
	flux boundary condition
Traits::RangeFieldType	o (const typename Traits::IntersectionType &is, const typename Traits::IntersectionDomainType &xlocal) const
	outflow boundary condition
Traits::PermTensorType	A (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	tensor diffusion coefficient
Traits::RangeType	b (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	velocity field
Traits::RangeFieldType	c (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	sink term
Traits::RangeFieldType	f (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	source term
BCType	bctype (const typename Traits::IntersectionType &is, const typename Traits::IntersectionDomainType &xlocal) const
	boundary condition type function
Traits::RangeFieldType	g (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	Dirichlet boundary condition value.
Traits::RangeFieldType	j (const typename Traits::IntersectionType &is, const typename Traits::IntersectionDomainType &xlocal) const
	flux boundary condition
Traits::RangeFieldType	o (const typename Traits::IntersectionType &is, const typename Traits::IntersectionDomainType &xlocal) const
	outflow boundary condition
Traits::PermTensorType	A (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	tensor diffusion coefficient
Traits::RangeType	b (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	velocity field
Traits::RangeFieldType	c (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	sink term
Traits::RangeFieldType	f (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	source term
BCType	bctype (const typename Traits::IntersectionType &is, const typename Traits::IntersectionDomainType &xlocal) const
	boundary condition type function
Traits::RangeFieldType	g (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	Dirichlet boundary condition value.
Traits::RangeFieldType	j (const typename Traits::IntersectionType &is, const typename Traits::IntersectionDomainType &xlocal) const
	flux boundary condition
Traits::RangeFieldType	o (const typename Traits::IntersectionType &is, const typename Traits::IntersectionDomainType &xlocal) const
	outflow boundary condition
Traits::PermTensorType	A (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	tensor diffusion coefficient
Traits::RangeType	b (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	velocity field
Traits::RangeFieldType	c (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	sink term
Traits::RangeFieldType	f (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	source term
BCType	bctype (const typename Traits::IntersectionType &is, const typename Traits::IntersectionDomainType &xlocal) const
	boundary condition type function
Traits::RangeFieldType	g (const typename Traits::ElementType &e, const typename Traits::DomainType &xlocal) const
	Dirichlet boundary condition value.
Traits::RangeFieldType	j (const typename Traits::IntersectionType &is, const typename Traits::IntersectionDomainType &xlocal) const
	flux boundary condition
Traits::RangeFieldType	o (const typename Traits::IntersectionType &is, const typename Traits::IntersectionDomainType &xlocal) const
	outflow boundary condition

Static Public Member Functions
static constexpr bool	permeabilityIsConstantPerCell ()
	tensor diffusion constant per cell? return false if you want more than one evaluation of A per cell.
static constexpr bool	permeabilityIsConstantPerCell ()
	tensor diffusion constant per cell? return false if you want more than one evaluation of A per cell.
static constexpr bool	permeabilityIsConstantPerCell ()
	tensor diffusion constant per cell? return false if you want more than one evaluation of A per cell.
static constexpr bool	permeabilityIsConstantPerCell ()
	tensor diffusion constant per cell? return false if you want more than one evaluation of A per cell.

Detailed Description

template<typename GV, typename RF>
class GenericEllipticProblem< GV, RF >

Parameter class for the stationary convection-diffusion equation of the following form:

Note:

• This formulation is valid for velocity fields which are non-divergence free.
• Outflow boundary conditions should only be set on the outflow boundary

The template parameters are:

• GV a model of a GridView
• RF numeric type to represent results

Parameter class for the stationary convection-diffusion equation of the following form:

Note:

• This formulation is valid for velocity fields which are non-divergence free.
• Outflow boundary conditions should only be set on the outflow boundary

The template parameters are:

• GV a model of a GridView
• RF numeric type to represent results

Examples

recipe-geometry-grid.cc, recipe-linear-system-assembly.cc, recipe-linear-system-solution-istl.cc, and recipe-linear-system-solution-pdelab.cc.

Member Typedef Documentation

Traits [1/4]

template<typename GV , typename RF >

typedef Dune::PDELab::ConvectionDiffusionParameterTraits<GV,RF> GenericEllipticProblem< GV, RF >::Traits

Examples

recipe-geometry-grid.cc, recipe-linear-system-assembly.cc, recipe-linear-system-solution-istl.cc, and recipe-linear-system-solution-pdelab.cc.

Traits [2/4]

template<typename GV , typename RF >

typedef Dune::PDELab::ConvectionDiffusionParameterTraits<GV,RF> GenericEllipticProblem< GV, RF >::Traits

Traits [3/4]

template<typename GV , typename RF >

typedef Dune::PDELab::ConvectionDiffusionParameterTraits<GV,RF> GenericEllipticProblem< GV, RF >::Traits

Traits [4/4]

template<typename GV , typename RF >

typedef Dune::PDELab::ConvectionDiffusionParameterTraits<GV,RF> GenericEllipticProblem< GV, RF >::Traits

Member Function Documentation

A() [1/4]

template<typename GV , typename RF >

Traits::PermTensorType GenericEllipticProblem< GV, RF >::A ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

tensor diffusion coefficient

Examples

recipe-geometry-grid.cc, recipe-linear-system-assembly.cc, recipe-linear-system-solution-istl.cc, and recipe-linear-system-solution-pdelab.cc.

A() [2/4]

template<typename GV , typename RF >

Traits::PermTensorType GenericEllipticProblem< GV, RF >::A ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

tensor diffusion coefficient

A() [3/4]

template<typename GV , typename RF >

Traits::PermTensorType GenericEllipticProblem< GV, RF >::A ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

tensor diffusion coefficient

A() [4/4]

template<typename GV , typename RF >

Traits::PermTensorType GenericEllipticProblem< GV, RF >::A ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

tensor diffusion coefficient

b() [1/4]

template<typename GV , typename RF >

Traits::RangeType GenericEllipticProblem< GV, RF >::b ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

velocity field

Examples

recipe-geometry-grid.cc, recipe-linear-system-assembly.cc, recipe-linear-system-solution-istl.cc, and recipe-linear-system-solution-pdelab.cc.

b() [2/4]

template<typename GV , typename RF >

Traits::RangeType GenericEllipticProblem< GV, RF >::b ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

velocity field

b() [3/4]

template<typename GV , typename RF >

Traits::RangeType GenericEllipticProblem< GV, RF >::b ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

velocity field

b() [4/4]

template<typename GV , typename RF >

Traits::RangeType GenericEllipticProblem< GV, RF >::b ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

velocity field

bctype() [1/4]

template<typename GV , typename RF >

BCType GenericEllipticProblem< GV, RF >::bctype ( const typename Traits::IntersectionType &  is, const typename Traits::IntersectionDomainType &  xlocal  ) const

inline

boundary condition type function

Examples

recipe-geometry-grid.cc, recipe-linear-system-assembly.cc, recipe-linear-system-solution-istl.cc, and recipe-linear-system-solution-pdelab.cc.

bctype() [2/4]

template<typename GV , typename RF >

BCType GenericEllipticProblem< GV, RF >::bctype ( const typename Traits::IntersectionType &  is, const typename Traits::IntersectionDomainType &  xlocal  ) const

inline

boundary condition type function

bctype() [3/4]

template<typename GV , typename RF >

BCType GenericEllipticProblem< GV, RF >::bctype ( const typename Traits::IntersectionType &  is, const typename Traits::IntersectionDomainType &  xlocal  ) const

inline

boundary condition type function

bctype() [4/4]

template<typename GV , typename RF >

BCType GenericEllipticProblem< GV, RF >::bctype ( const typename Traits::IntersectionType &  is, const typename Traits::IntersectionDomainType &  xlocal  ) const

inline

boundary condition type function

c() [1/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::c ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

sink term

Examples

recipe-geometry-grid.cc, recipe-linear-system-assembly.cc, recipe-linear-system-solution-istl.cc, and recipe-linear-system-solution-pdelab.cc.

c() [2/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::c ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

sink term

c() [3/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::c ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

sink term

c() [4/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::c ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

sink term

f() [1/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::f ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

source term

Examples

recipe-geometry-grid.cc, recipe-linear-system-assembly.cc, recipe-linear-system-solution-istl.cc, and recipe-linear-system-solution-pdelab.cc.

f() [2/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::f ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

source term

f() [3/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::f ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

source term

f() [4/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::f ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

source term

g() [1/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::g ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

Dirichlet boundary condition value.

Examples

recipe-geometry-grid.cc, recipe-linear-system-assembly.cc, recipe-linear-system-solution-istl.cc, and recipe-linear-system-solution-pdelab.cc.

g() [2/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::g ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

Dirichlet boundary condition value.

g() [3/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::g ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

Dirichlet boundary condition value.

g() [4/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::g ( const typename Traits::ElementType &  e, const typename Traits::DomainType &  xlocal  ) const

inline

Dirichlet boundary condition value.

j() [1/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::j ( const typename Traits::IntersectionType &  is, const typename Traits::IntersectionDomainType &  xlocal  ) const

inline

flux boundary condition

Examples

recipe-geometry-grid.cc, recipe-linear-system-assembly.cc, recipe-linear-system-solution-istl.cc, and recipe-linear-system-solution-pdelab.cc.

j() [2/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::j ( const typename Traits::IntersectionType &  is, const typename Traits::IntersectionDomainType &  xlocal  ) const

inline

flux boundary condition

j() [3/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::j ( const typename Traits::IntersectionType &  is, const typename Traits::IntersectionDomainType &  xlocal  ) const

inline

flux boundary condition

j() [4/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::j ( const typename Traits::IntersectionType &  is, const typename Traits::IntersectionDomainType &  xlocal  ) const

inline

flux boundary condition

o() [1/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::o ( const typename Traits::IntersectionType &  is, const typename Traits::IntersectionDomainType &  xlocal  ) const

inline

outflow boundary condition

Examples

recipe-geometry-grid.cc, recipe-linear-system-assembly.cc, recipe-linear-system-solution-istl.cc, and recipe-linear-system-solution-pdelab.cc.

o() [2/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::o ( const typename Traits::IntersectionType &  is, const typename Traits::IntersectionDomainType &  xlocal  ) const

inline

outflow boundary condition

o() [3/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::o ( const typename Traits::IntersectionType &  is, const typename Traits::IntersectionDomainType &  xlocal  ) const

inline

outflow boundary condition

o() [4/4]

template<typename GV , typename RF >

Traits::RangeFieldType GenericEllipticProblem< GV, RF >::o ( const typename Traits::IntersectionType &  is, const typename Traits::IntersectionDomainType &  xlocal  ) const

inline

outflow boundary condition

permeabilityIsConstantPerCell() [1/4]

template<typename GV , typename RF >

static constexpr bool GenericEllipticProblem< GV, RF >::permeabilityIsConstantPerCell ( )

inlinestaticconstexpr

tensor diffusion constant per cell? return false if you want more than one evaluation of A per cell.

Examples

recipe-geometry-grid.cc, recipe-linear-system-assembly.cc, recipe-linear-system-solution-istl.cc, and recipe-linear-system-solution-pdelab.cc.

permeabilityIsConstantPerCell() [2/4]

template<typename GV , typename RF >

static constexpr bool GenericEllipticProblem< GV, RF >::permeabilityIsConstantPerCell ( )

inlinestaticconstexpr

tensor diffusion constant per cell? return false if you want more than one evaluation of A per cell.

permeabilityIsConstantPerCell() [3/4]

template<typename GV , typename RF >

static constexpr bool GenericEllipticProblem< GV, RF >::permeabilityIsConstantPerCell ( )

inlinestaticconstexpr

tensor diffusion constant per cell? return false if you want more than one evaluation of A per cell.

permeabilityIsConstantPerCell() [4/4]

template<typename GV , typename RF >

static constexpr bool GenericEllipticProblem< GV, RF >::permeabilityIsConstantPerCell ( )

inlinestaticconstexpr

tensor diffusion constant per cell? return false if you want more than one evaluation of A per cell.

---

The documentation for this class was generated from the following files:

• recipe-geometry-grid.cc
• recipe-linear-system-assembly.cc
• recipe-linear-system-solution-istl.cc
• recipe-linear-system-solution-pdelab.cc