SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM > Class Template Reference
#include <SimpleNonlinearEllipticSolver.hpp>
Inherits AbstractNonlinearAssemblerSolverHybrid< ELEMENT_DIM, SPACE_DIM, 1 >.
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 39 of file SimpleNonlinearEllipticSolver.hpp.
Constructor & Destructor Documentation
| 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 | |||
| ) | [inline] |
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 95 of file SimpleNonlinearEllipticSolver.cpp.
Member Function Documentation
| 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 | |||
| ) | [inline, 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 32 of file SimpleNonlinearEllipticSolver.cpp.
References SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::mpNonlinearEllipticPde.
| 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 | |||
| ) | [inline, 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 65 of file SimpleNonlinearEllipticSolver.cpp.
References SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::mpNonlinearEllipticPde.
Member Data Documentation
AbstractNonlinearEllipticPde<SPACE_DIM>* SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::mpNonlinearEllipticPde [private] |
The PDE to be solved.
Definition at line 44 of file SimpleNonlinearEllipticSolver.hpp.
Referenced by SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::ComputeMatrixTerm(), and SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::ComputeVectorTerm().
The documentation for this class was generated from the following files:
- pde/src/solver/SimpleNonlinearEllipticSolver.hpp
- pde/src/solver/SimpleNonlinearEllipticSolver.cpp
