DUNE-ACFEM (2.5.1)

Public Types | Public Member Functions | List of all members
Dune::ACFem::P_MassOperatorParts< FunctionSpace > Class Template Reference
PDE-Models » Model Building Blocks » Building Blocks for the Bulk-Phase

A simplistic non-linear example. More...

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

Public Types

enum  StructureFlags
 
enum  ConstituentFlags
 
typedef Expression ExpressionType
 The type of the underlying expression.
 

Public Member Functions

template<class Entity , class Point >
void source (const Entity &entity, const Point &x, const RangeType &value, const JacobianRangeType &jacobian, RangeType &result) const
 
template<class Entity , class Point >
void linearizedSource (const RangeType &uBar, const JacobianRangeType &DuBar, const Entity &entity, const Point &x, const RangeType &value, const JacobianRangeType &jacobian, RangeType &result) const
 
void setEntity (const Entity &entity) const
 
bool setIntersection (const Intersection &intersection) const
 
void flux (const Entity &entity, const Point &x, const RangeType &value, const JacobianRangeType &jacobian, JacobianRangeType &flux) const
 
void linearizedFlux (const RangeType &uBar, const JacobianRangeType &DuBar, const Entity &entity, const Point &x, const RangeType &value, const JacobianRangeType &jacobian, JacobianRangeType &flux) const
 
void robinFlux (const Intersection &intersection, const Point &x, const DomainType &unitOuterNormal, const RangeType &value, RangeType &result) const
 
void linearizedRobinFlux (const RangeType &uBar, const Intersection &intersection, const Point &x, const DomainType &unitOuterNormal, const RangeType &value, RangeType &result) const
 
void fluxDivergence (const Entity &entity, const Point &x, const RangeType &value, const JacobianRangeType &jacobian, const HessianRangeType &hessian, RangeType &result) const
 
const ExpressionType & expression () const
 Return a const reference to the underlying expression.
 
ExpressionType & expression ()
 Return a mutable reference to the underlying expression.
 
ExpressionType operator* () const
 Return a copy from of the underlying expression.
 

Detailed Description

template<class FunctionSpace>
class Dune::ACFem::P_MassOperatorParts< FunctionSpace >

A simplistic non-linear example.

This models form a zero-order model of the form

\[ \int_\Omega |U|^{p-2}\,U\cdot\phi\quad\forall \phi \]

where \(U\) is the unknown und \(ß\phi\) denotes the test functions. This is the formal first variation of the functional

\[ U\mapsto \int_\Omega |U|^p \]

Member Enumeration Documentation

◆ ConstituentFlags

enum Dune::ACFem::DefaultOperatorParts::ConstituentFlags
inherited

◆ StructureFlags

enum Dune::ACFem::DefaultOperatorParts::StructureFlags
inherited

Member Function Documentation

◆ flux()

void Dune::ACFem::DefaultOperatorParts< Expression >::flux ( const Entity &  entity,
const Point &  x,
const RangeType &  value,
const JacobianRangeType &  jacobian,
JacobianRangeType &  flux 
) const
inlineinherited

◆ fluxDivergence()

void Dune::ACFem::DefaultOperatorParts< Expression >::fluxDivergence ( const Entity &  entity,
const Point &  x,
const RangeType &  value,
const JacobianRangeType &  jacobian,
const HessianRangeType &  hessian,
RangeType &  result 
) const
inlineinherited

◆ linearizedFlux()

void Dune::ACFem::DefaultOperatorParts< Expression >::linearizedFlux ( const RangeType &  uBar,
const JacobianRangeType &  DuBar,
const Entity &  entity,
const Point &  x,
const RangeType &  value,
const JacobianRangeType &  jacobian,
JacobianRangeType &  flux 
) const
inlineinherited

◆ linearizedRobinFlux()

void Dune::ACFem::DefaultOperatorParts< Expression >::linearizedRobinFlux ( const RangeType &  uBar,
const Intersection &  intersection,
const Point &  x,
const DomainType &  unitOuterNormal,
const RangeType &  value,
RangeType &  result 
) const
inlineinherited

◆ robinFlux()

void Dune::ACFem::DefaultOperatorParts< Expression >::robinFlux ( const Intersection &  intersection,
const Point &  x,
const DomainType &  unitOuterNormal,
const RangeType &  value,
RangeType &  result 
) const
inlineinherited

◆ setEntity()

void Dune::ACFem::DefaultOperatorParts< Expression >::setEntity ( const Entity &  entity) const
inlineinherited

◆ setIntersection()

bool Dune::ACFem::DefaultOperatorParts< Expression >::setIntersection ( const Intersection &  intersection) const
inlineinherited

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