#include <AbstractFeSurfaceIntegralAssembler.hpp>

Inheritance diagram for AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >:

Collaboration diagram for AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >:

Public Member Functions
	AbstractFeSurfaceIntegralAssembler (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > pMesh, BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > pBoundaryConditions, unsigned numQuadPoints=2)
virtual	~AbstractFeSurfaceIntegralAssembler ()
void	ResetBoundaryConditionsContainer (BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > *pBoundaryConditions)
Protected Types
typedef LinearBasisFunction < ELEMENT_DIM-1 >	SurfaceBasisFunction
Protected Member Functions
virtual c_vector< double, PROBLEM_DIM *ELEMENT_DIM >	ComputeVectorSurfaceTerm (const BoundaryElement< ELEMENT_DIM-1, SPACE_DIM > &rSurfaceElement, c_vector< double, ELEMENT_DIM > &rPhi, ChastePoint< SPACE_DIM > &rX)
virtual void	AssembleOnSurfaceElement (const BoundaryElement< ELEMENT_DIM-1, SPACE_DIM > &rSurfaceElement, c_vector< double, PROBLEM_DIM *ELEMENT_DIM > &rBSurfElem)
void	DoAssemble ()
Protected Attributes
AbstractTetrahedralMesh < ELEMENT_DIM, SPACE_DIM > *	mpMesh
BoundaryConditionsContainer < ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > *	mpBoundaryConditions
GaussianQuadratureRule < ELEMENT_DIM-1 > *	mpSurfaceQuadRule

Detailed Description

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>
class AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >

Similar to AbstractFeVolumeIntegralAssembler but is used for constructing finite element objects that are based on SURFACE INTEGRALS, as opposed to volume integrals.

This class assumes that the concrete class only needs to assemble a vector, not a matrix. (Can be extended in the future if needed).

Hence, the (effectively) pure method, that needs to be implemented, is ComputeVectorSurfaceTerm().

The surface terms is assumed to come from Neumann BCs, so only the surface elements containing non-zero Neumann BCs (from the BoundaryConditionsContainer given) are assembled on.

The interface is the same the volume assemblers.

Definition at line 61 of file AbstractFeSurfaceIntegralAssembler.hpp.

Member Typedef Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>

typedef LinearBasisFunction<ELEMENT_DIM-1> AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::SurfaceBasisFunction [protected]

Basis function for use with boundary elements.

Definition at line 74 of file AbstractFeSurfaceIntegralAssembler.hpp.

Constructor & Destructor Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>

AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::AbstractFeSurfaceIntegralAssembler	(	AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *	pMesh,
		BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > *	pBoundaryConditions,
		unsigned	numQuadPoints = `2`
	)

Constructor

Parameters:

pMesh	The mesh
pBoundaryConditions	The boundary conditions container
numQuadPoints	Number of quad points (per dimension) to use

Definition at line 149 of file AbstractFeSurfaceIntegralAssembler.hpp.

References AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::mpSurfaceQuadRule.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>

AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::~AbstractFeSurfaceIntegralAssembler ( ) [virtual]

Destructor

Definition at line 165 of file AbstractFeSurfaceIntegralAssembler.hpp.

Member Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>

void AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::AssembleOnSurfaceElement	(	const BoundaryElement< ELEMENT_DIM-1, SPACE_DIM > &	rSurfaceElement,
		c_vector< double, PROBLEM_DIM *ELEMENT_DIM > &	rBSurfElem
	)		`[protected, virtual]`

Calculate the contribution of a single surface element with Neumann boundary condition to the linear system.

Parameters:

rSurfaceElement	The element to assemble on.
rBSurfElem	The element's contribution to the RHS vector is returned in this vector of length n, the no. of nodes in this element. There is no need to zero this vector before calling.

Todo:: #1321 Improve efficiency of Neumann BC implementation

Definition at line 205 of file AbstractFeSurfaceIntegralAssembler.hpp.

References AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetIndex(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNode(), AbstractElement< ELEMENT_DIM, SPACE_DIM >::GetNumNodes(), and ChastePoint< DIM >::rGetLocation().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>

virtual c_vector<double, PROBLEM_DIM*ELEMENT_DIM> AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::ComputeVectorSurfaceTerm	(	const BoundaryElement< ELEMENT_DIM-1, SPACE_DIM > &	rSurfaceElement,
		c_vector< double, ELEMENT_DIM > &	rPhi,
		ChastePoint< SPACE_DIM > &	rX
	)		`[inline, protected, virtual]`

This method returns the vector to be added to full vector for a given Gauss point in BoundaryElement, ie, essentially the INTEGRAND in the boundary integral part of the definition of the vector. The arguments are the bases, x and current solution computed at the Gauss point.

** This method needs to be overloaded in the concrete class **

Parameters:

rSurfaceElement	the element which is being considered.
rPhi	The basis functions, rPhi(i) = phi_i, i=1..numBases
rX	The point in space

Reimplemented in BidomainNeumannSurfaceTermAssembler< ELEMENT_DIM, SPACE_DIM >, ExtendedBidomainNeumannSurfaceTermAssembler< ELEMENT_DIM, SPACE_DIM >, NaturalNeumannSurfaceTermAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >, ExtendedBidomainNeumannSurfaceTermAssembler< ELEM_DIM, SPACE_DIM >, and NaturalNeumannSurfaceTermAssembler< ELEMENT_DIM, SPACE_DIM, 1 >.

Definition at line 89 of file AbstractFeSurfaceIntegralAssembler.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>

void AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::DoAssemble ( ) [protected, virtual]

Main assemble method. Users should call Assemble() however

Implements AbstractFeAssemblerInterface< CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX >.

Definition at line 172 of file AbstractFeSurfaceIntegralAssembler.hpp.

References GenericEventHandler< 16, HeartEventHandler >::BeginEvent(), GenericEventHandler< 16, HeartEventHandler >::EndEvent(), BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::EndNeumann(), and AbstractTetrahedralElement< ELEMENT_DIM, SPACE_DIM >::GetStiffnessMatrixGlobalIndices().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>

void AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::ResetBoundaryConditionsContainer ( BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > * pBoundaryConditions ) [inline]

Reset the internal boundary conditions container pointer

Parameters:

pBoundaryConditions

Definition at line 140 of file AbstractFeSurfaceIntegralAssembler.hpp.

Member Data Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>

BoundaryConditionsContainer<ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM>* AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::mpBoundaryConditions [protected]

Boundary conditions container

Definition at line 68 of file AbstractFeSurfaceIntegralAssembler.hpp.

Referenced by NaturalNeumannSurfaceTermAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::ComputeVectorSurfaceTerm(), and AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, 2 >::ResetBoundaryConditionsContainer().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>

AbstractTetrahedralMesh<ELEMENT_DIM, SPACE_DIM>* AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::mpMesh [protected]

Mesh to be solved on.

Definition at line 65 of file AbstractFeSurfaceIntegralAssembler.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>

GaussianQuadratureRule<ELEMENT_DIM-1>* AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::mpSurfaceQuadRule [protected]

Quadrature rule for use on boundary elements.

Definition at line 71 of file AbstractFeSurfaceIntegralAssembler.hpp.

Referenced by AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::AbstractFeSurfaceIntegralAssembler().

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

pde/src/solver/AbstractFeSurfaceIntegralAssembler.hpp

Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

Detailed Description

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM> class AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>
class AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >