Dune::ACFem::PDEModel::NeumannBoundaryModel< GridFunction, Indicator > Class Template Reference

A Neumann-boundary model. More...

#include <dune/acfem/models/modules/neumannmodel.hh>

Collaboration diagram for Dune::ACFem::PDEModel::NeumannBoundaryModel< GridFunction, Indicator >:

Public Member Functions
std::string	name () const
template<class Entity >
void	bind (const Entity &entity)
void	unbind ()
template<class Intersection >
auto	classifyBoundary (const Intersection &intersection)
template<class Quadrature >
RangeType	robinFlux (const QuadraturePoint< Quadrature > &x, const DomainType &unitOuterNormal) const
	The non-linearized Robin-type flux term. More...

FunctionSpaceTypes
Forward some basic type from the supplied function-spaces to the model class. Note that FunctionSpace is defined as a shortcut for RangeFunctionSpace in order to simplify the common case DomainFunctionSpace == RangeFunctionSpace.
using	HessianRangeSelector = typename std::conditional< std::is_convertible< typename FunctionSpace::RangeType, typename FunctionSpace::HessianRangeType >::value, Fem::ExplicitFieldVector< typename FunctionSpace::HessianRangeType::value_type, FunctionSpace::dimRange >, typename FunctionSpace::HessianRangeType >::type
	The type returned by classifyBoundary().
using	RangeFunctionSpaceType = std::decay_t< GridFunction >::FunctionSpaceType
	The type returned by classifyBoundary().
using	DomainFunctionSpaceType = std::decay_t< GridFunction >::FunctionSpaceType
	The type returned by classifyBoundary().
using	FunctionSpaceType = RangeFunctionSpaceType
	The type returned by classifyBoundary().
using	JacobianRangeType = typename FunctionSpaceType::JacobianRangeType
	The type returned by classifyBoundary().
using	HessianRangeType = HessianRangeSelector< FunctionSpaceType >
	The type returned by classifyBoundary().
using	DomainFieldType = typename FunctionSpaceType::DomainFieldType
	The type returned by classifyBoundary().
using	RangeFieldType = typename FunctionSpaceType::RangeFieldType
	The type returned by classifyBoundary().
using	DomainRangeType = typename DomainFunctionSpaceType::RangeType
	The type returned by classifyBoundary().
using	DomainDomainType = typename DomainFunctionSpaceType::DomainType
	The type returned by classifyBoundary().
using	DomainJacobianRangeType = typename DomainFunctionSpaceType::JacobianRangeType
	The type returned by classifyBoundary().
using	DomainHessianRangeType = HessianRangeSelector< DomainFunctionSpaceType >
	The type returned by classifyBoundary().
using	DomainDomainFieldType = typename DomainFunctionSpaceType::DomainFieldType
	The type returned by classifyBoundary().
using	DomainRangeFieldType = typename DomainFunctionSpaceType::RangeFieldType
	The type returned by classifyBoundary().
using	RangeRangeType = typename RangeFunctionSpaceType::RangeType
	The type returned by classifyBoundary().
using	RangeDomainType = typename RangeFunctionSpaceType::DomainType
	The type returned by classifyBoundary().
using	RangeJacobianRangeType = typename RangeFunctionSpaceType::JacobianRangeType
	The type returned by classifyBoundary().
using	RangeHessianRangeType = HessianRangeSelector< RangeFunctionSpaceType >
	The type returned by classifyBoundary().
using	RangeDomainFieldType = typename RangeFunctionSpaceType::DomainFieldType
	The type returned by classifyBoundary().
using	RangeRangeFieldType = typename RangeFunctionSpaceType::RangeFieldType
	The type returned by classifyBoundary().
static constexpr int	dimDomain
	The type returned by classifyBoundary().
static constexpr int	domainDimDomain
	The type returned by classifyBoundary().
static constexpr int	domainDimRange
static constexpr int	rangeDimDomain
	The type returned by classifyBoundary().
static constexpr int	rangeDimRange

Detailed Description

template<class GridFunction, class Indicator = EntireBoundaryIndicator>
class Dune::ACFem::PDEModel::NeumannBoundaryModel< GridFunction, Indicator >

A Neumann-boundary model.

We model the following boundary conditions here:

\[ \frac{\pratial u{\partial \nu} = g_N \text{ on }\Gamma_N \]

Parameters

[in]	GridFunction	gN
[in]	Indicator	The boundary indicator function which decides on which part of the boundary the Neumann boundary conditions is imposed.

Note

Note that GridFunction may already be a BoundarySupportedFunction in which case the resulting Neumann condition is imposed on the intersection of the supports of GridFunction and Indicator.

Member Data Documentation

domainDimRange

constexpr int Dune::ACFem::ModelBase< std::decay_t< GridFunction >::FunctionSpaceType , std::decay_t< GridFunction >::FunctionSpaceType >::domainDimRange

staticconstexprinherited

rangeDimRange

constexpr int Dune::ACFem::ModelBase< std::decay_t< GridFunction >::FunctionSpaceType , std::decay_t< GridFunction >::FunctionSpaceType >::rangeDimRange

staticconstexprinherited

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

• dune/acfem/models/modules/neumannmodel.hh