#include <SimpleNonlinearEllipticSolver.hpp>

Inheritance diagram for SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >:

Collaboration diagram for SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >:

Public Member Functions
	SimpleNonlinearEllipticSolver (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > pMesh, AbstractNonlinearEllipticPde< SPACE_DIM > pPde, BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, 1 > *pBoundaryConditions, unsigned numQuadPoints=2)
Private Member Functions
virtual c_matrix< double, 1 (ELEMENT_DIM+1), 1 (ELEMENT_DIM+1)>	ComputeMatrixTerm (c_vector< double, ELEMENT_DIM+1 > &rPhi, c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &rGradPhi, ChastePoint< SPACE_DIM > &rX, c_vector< double, 1 > &rU, c_matrix< double, 1, SPACE_DIM > &rGradU, Element< ELEMENT_DIM, SPACE_DIM > *pElement)
virtual c_vector< double, 1 *(ELEMENT_DIM+1)>	ComputeVectorTerm (c_vector< double, ELEMENT_DIM+1 > &rPhi, c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &rGradPhi, ChastePoint< SPACE_DIM > &rX, c_vector< double, 1 > &rU, c_matrix< double, 1, SPACE_DIM > &rGradU, Element< ELEMENT_DIM, SPACE_DIM > *pElement)
Private Attributes
AbstractNonlinearEllipticPde < SPACE_DIM > *	mpNonlinearEllipticPde

Detailed Description

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
class SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >

Solver of nonlinear elliptic PDEs.

Definition at line 46 of file SimpleNonlinearEllipticSolver.hpp.

Constructor & Destructor Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::SimpleNonlinearEllipticSolver	(	AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *	pMesh,
		AbstractNonlinearEllipticPde< SPACE_DIM > *	pPde,
		BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, 1 > *	pBoundaryConditions,
		unsigned	numQuadPoints = `2`
	)

Constructor.

Parameters:

pMesh	pointer to the mesh
pPde	pointer to the PDE
pBoundaryConditions	pointer to the boundary conditions
numQuadPoints	number of quadrature points in each dimension to use per element (defaults to 2)

Definition at line 102 of file SimpleNonlinearEllipticSolver.cpp.

Member Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_matrix< double, 1 (ELEMENT_DIM+1), 1 (ELEMENT_DIM+1)> SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::ComputeMatrixTerm	(	c_vector< double, ELEMENT_DIM+1 > &	rPhi,
		c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &	rGradPhi,
		ChastePoint< SPACE_DIM > &	rX,
		c_vector< double, 1 > &	rU,
		c_matrix< double, 1, SPACE_DIM > &	rGradU,
		Element< ELEMENT_DIM, SPACE_DIM > *	pElement
	)		`[private, virtual]`

This method returns the matrix to be added to element stiffness matrix for a given Gauss point. The arguments are the bases, bases gradients, x and current solution computed at the Gauss point. The returned matrix will be multiplied by the Gauss weight and Jacobian determinant and added to the element stiffness matrix (see AssembleOnElement()).

Parameters:

rPhi	The basis functions, rPhi(i) = phi_i, i=1..numBases
rGradPhi	Basis gradients, rGradPhi(i,j) = d(phi_j)/d(X_i)
rX	The point in space
rU	The unknown as a vector, u(i) = u_i
rGradU	The gradient of the unknown as a matrix, rGradU(i,j) = d(u_i)/d(X_j)
pElement	Pointer to the element

Definition at line 39 of file SimpleNonlinearEllipticSolver.cpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_vector< double, 1 *(ELEMENT_DIM+1)> SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::ComputeVectorTerm	(	c_vector< double, ELEMENT_DIM+1 > &	rPhi,
		c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &	rGradPhi,
		ChastePoint< SPACE_DIM > &	rX,
		c_vector< double, 1 > &	rU,
		c_matrix< double, 1, SPACE_DIM > &	rGradU,
		Element< ELEMENT_DIM, SPACE_DIM > *	pElement
	)		`[private, virtual]`

This method returns the vector to be added to element stiffness vector for a given Gauss point. The arguments are the bases, x and current solution computed at the Gauss point. The returned vector will be multiplied by the Gauss weight and Jacobian determinant and added to the element stiffness matrix (see AssembleOnElement()).

Parameters:

rPhi	The basis functions, rPhi(i) = phi_i, i=1..numBases
rGradPhi	Basis gradients, rGradPhi(i,j) = d(phi_j)/d(X_i)
rX	The point in space
rU	The unknown as a vector, u(i) = u_i
rGradU	The gradient of the unknown as a matrix, rGradU(i,j) = d(u_i)/d(X_j)
pElement	Pointer to the element

Definition at line 72 of file SimpleNonlinearEllipticSolver.cpp.

Member Data Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

AbstractNonlinearEllipticPde<SPACE_DIM>* SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::mpNonlinearEllipticPde [private]

The PDE to be solved.

Definition at line 51 of file SimpleNonlinearEllipticSolver.hpp.

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

pde/src/solver/SimpleNonlinearEllipticSolver.hpp
pde/src/solver/SimpleNonlinearEllipticSolver.cpp

Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM> class SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
class SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >