Chaste Release::3.1
Public Member Functions | Protected Member Functions | Protected Attributes
NaturalNeumannSurfaceTermAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > Class Template Reference

#include <NaturalNeumannSurfaceTermAssembler.hpp>

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

List of all members.

Public Member Functions

 NaturalNeumannSurfaceTermAssembler (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *pMesh, BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > *pBoundaryConditions, unsigned numQuadPoints=2)
void SetScaleFactor (double scaleFactor)

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 Attributes

double mScaleFactor

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,
unsigned  numQuadPoints = 2 
) [inline]

Constructor

Parameters:
pMeshThe mesh
pBoundaryConditionsThe boundary conditions container
numQuadPointsNumber of quad points (per dimension) to use

Definition at line 96 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 
) [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.

Returns the integrand corresponding to natural Neumann BCs being specified.

Parameters:
rSurfaceElementthe element which is being considered.
rPhiThe basis functions, rPhi(i) = phi_i, i=1..numBases
rXThe point in space

Reimplemented from AbstractFeSurfaceIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >.

Definition at line 117 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 108 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: