#include <NaturalNeumannSurfaceTermAssembler.hpp>

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

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

Public Member Functions
	NaturalNeumannSurfaceTermAssembler (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > pMesh, BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > pBoundaryConditions)

void	SetScaleFactor (double scaleFactor)

Public Member Functions inherited from AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >
	AbstractFeSurfaceIntegralAssembler (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > pMesh, BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > pBoundaryConditions)

virtual	~AbstractFeSurfaceIntegralAssembler ()

void	ResetBoundaryConditionsContainer (BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > *pBoundaryConditions)

Public Member Functions inherited from AbstractFeAssemblerCommon< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, true, false, NORMAL >
	AbstractFeAssemblerCommon ()

void	SetCurrentSolution (Vec currentSolution)

virtual	~AbstractFeAssemblerCommon ()

Public Member Functions inherited from AbstractFeAssemblerInterface< CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX >
	AbstractFeAssemblerInterface ()

void	SetMatrixToAssemble (Mat &rMatToAssemble, bool zeroMatrixBeforeAssembly=true)

void	SetVectorToAssemble (Vec &rVecToAssemble, bool zeroVectorBeforeAssembly)

void	Assemble ()

void	AssembleMatrix ()

void	AssembleVector ()

virtual	~AbstractFeAssemblerInterface ()

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)

Protected Member Functions inherited from AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >
virtual void	AssembleOnSurfaceElement (const BoundaryElement< ELEMENT_DIM-1, SPACE_DIM > &rSurfaceElement, c_vector< double, PROBLEM_DIM *ELEMENT_DIM > &rBSurfElem)

void	DoAssemble ()

Protected Member Functions inherited from AbstractFeAssemblerCommon< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, true, false, NORMAL >
virtual double	GetCurrentSolutionOrGuessValue (unsigned nodeIndex, unsigned indexOfUnknown)

virtual void	ResetInterpolatedQuantities ()

virtual void	IncrementInterpolatedQuantities (double phiI, const Node< SPACE_DIM > *pNode)

virtual void	IncrementInterpolatedGradientQuantities (const c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &rGradPhi, unsigned phiIndex, const Node< SPACE_DIM > *pNode)

Protected Attributes
double	mScaleFactor

Protected Attributes inherited from AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >
AbstractTetrahedralMesh < ELEMENT_DIM, SPACE_DIM > *	mpMesh

BoundaryConditionsContainer < ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > *	mpBoundaryConditions

GaussianQuadratureRule < ELEMENT_DIM-1 > *	mpSurfaceQuadRule

Protected Attributes inherited from AbstractFeAssemblerCommon< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, true, false, NORMAL >
ReplicatableVector	mCurrentSolutionOrGuessReplicated

Protected Attributes inherited from AbstractFeAssemblerInterface< CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX >
Vec	mVectorToAssemble

Mat	mMatrixToAssemble

bool	mAssembleMatrix

bool	mAssembleVector

bool	mZeroMatrixBeforeAssembly

bool	mZeroVectorBeforeAssembly

PetscInt	mOwnershipRangeLo

PetscInt	mOwnershipRangeHi

Additional Inherited Members
Protected Types inherited from AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >
typedef LinearBasisFunction < ELEMENT_DIM-1 >	SurfaceBasisFunction

Detailed Description

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

An assembler for assembling surface element contributions to a vector coming from Neumann boundary conditions, assuming the prescribed BCs are NATURAL boundary conditions.

Examples of natural BCs: u_t = u_{xx} +f —> natural BCs are specification of (u_x . n) = g u_t = Laplacian(u) +f —> natural BCs are specification of (grad(u) . n) = g u_t = Div (D grad(u)) —> natural BCs are specification of ( (D grad(u)) . n) = g 0 = Div (D grad(u)) —> natural BCs are specification of ( (D grad(u)) . n) = g 0 = Div (D1 grad(u1)) + Div (D2 grad(u2)) (one equation of a 2-unknown problem) —> natural BCs are specification of ( (D1 grad(u1)) . n + (D2 grad(u2)) . n) = g1

In all cases, when in weak form, the surface integral is integral(gv dS), where v is the test function (or integral_over_Gamma(g1*v1+g2*v2 dS) in the 2-unknown case).

The contribution of the finite element vector is therefore always: the STRIPED version of the following BLOCK vector: [c1 c2 .. cP], where P = PROBLEM_DIM, each c_i is of dimension N (number of nodes/bases), and c1 has entries `integral_over_Gamma (g1*phi_i dS)`, etc.

Definition at line 62 of file NaturalNeumannSurfaceTermAssembler.hpp.

Constructor & Destructor Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>

NaturalNeumannSurfaceTermAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::NaturalNeumannSurfaceTermAssembler	(	AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *	pMesh,
		BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > *	pBoundaryConditions
	)

inline

Constructor

Parameters

pMesh	The mesh
pBoundaryConditions	The boundary conditions container

Definition at line 95 of file NaturalNeumannSurfaceTermAssembler.hpp.

Member Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>

c_vector< double, PROBLEM_DIM *ELEMENT_DIM > NaturalNeumannSurfaceTermAssembler< 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
	)

protectedvirtual

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.

Returns the integrand corresponding to natural Neumann BCs being specified.

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 from AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >.

Definition at line 115 of file NaturalNeumannSurfaceTermAssembler.hpp.

References AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::mpBoundaryConditions, and NaturalNeumannSurfaceTermAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::mScaleFactor.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>

void NaturalNeumannSurfaceTermAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::SetScaleFactor ( double scaleFactor )

inline

Set a scale factor to multiply the contribution to the vector that is assembled by this class

Parameters

scaleFactor

Definition at line 106 of file NaturalNeumannSurfaceTermAssembler.hpp.

Member Data Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>

double NaturalNeumannSurfaceTermAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::mScaleFactor

protected

Scale factor to multiply the integrals

Definition at line 66 of file NaturalNeumannSurfaceTermAssembler.hpp.

Referenced by NaturalNeumannSurfaceTermAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::ComputeVectorSurfaceTerm(), and NaturalNeumannSurfaceTermAssembler< ELEMENT_DIM, SPACE_DIM, 1 >::SetScaleFactor().

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

pde/src/solver/NaturalNeumannSurfaceTermAssembler.hpp

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

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

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

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