GenericEllipticProblem< GV, RF > Class Template Reference

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:

\begin{align*} \nabla\cdot(-A(x) \nabla u + b(x) u) + c(x)u &=& f \mbox{ in } \Omega, \ \ u &=& g \mbox{ on } \partial\Omega_D (Dirichlet)\ \ (b(x,u) - A(x)\nabla u) \cdot n &=& j \mbox{ on } \partial\Omega_N (Flux)\ \ -(A(x)\nabla u) \cdot n &=& o \mbox{ on } \partial\Omega_O (Outflow) \end{align*}

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.

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

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