SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM > Class Template Reference
#include <SimpleLinearEllipticSolver.hpp>
Public Member Functions | |
| SimpleLinearEllipticSolver (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *pMesh, AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM > *pPde, BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, 1 > *pBoundaryConditions, unsigned numQuadPoints=2) | |
| void | InitialiseForSolve (Vec initialSolution=NULL) |
Protected 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) |
| virtual c_vector< double, ELEMENT_DIM > | ComputeVectorSurfaceTerm (const BoundaryElement< ELEMENT_DIM-1, SPACE_DIM > &rSurfaceElement, c_vector< double, ELEMENT_DIM > &rPhi, ChastePoint< SPACE_DIM > &rX) |
| void | SetupLinearSystem (Vec currentSolution, bool computeMatrix) |
Protected Attributes | |
| AbstractLinearEllipticPde < ELEMENT_DIM, SPACE_DIM > * | mpEllipticPde |
Detailed Description
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
class SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >
SimpleLinearEllipticSolverSolver for solving AbstractLinearEllipticPdes.
Definition at line 45 of file SimpleLinearEllipticSolver.hpp.
Constructor & Destructor Documentation
| SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::SimpleLinearEllipticSolver | ( | AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > * | pMesh, | |
| AbstractLinearEllipticPde< ELEMENT_DIM, 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 (defaults to 2)
Definition at line 84 of file SimpleLinearEllipticSolver.cpp.
References SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::mpEllipticPde.
Member Function Documentation
| c_matrix< double, 1 *(ELEMENT_DIM+1), 1 *(ELEMENT_DIM+1)> SimpleLinearEllipticSolver< 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, protected, virtual] |
The term to be added to the element stiffness matrix:
grad_phi[row] . ( pde_diffusion_term * grad_phi[col])
- 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 33 of file SimpleLinearEllipticSolver.cpp.
References SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::mpEllipticPde.
| c_vector< double, 1 *(ELEMENT_DIM+1)> SimpleLinearEllipticSolver< 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, protected, virtual] |
The term arising from boundary conditions to be added to the element stiffness vector.
- 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 57 of file SimpleLinearEllipticSolver.cpp.
References SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::mpEllipticPde.
| c_vector< double, ELEMENT_DIM > SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_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 element stiffness vector for a given gauss point in BoundaryElement. 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 determinent and added to the element stiffness matrix (see AssembleOnElement()).
- 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 AbstractFeObjectAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, true, true, INTERPOLATION_LEVEL >.
Definition at line 71 of file SimpleLinearEllipticSolver.cpp.
| void SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::SetupLinearSystem | ( | Vec | currentSolution, | |
| bool | computeMatrix | |||
| ) | [inline, protected, virtual] |
Delegate to AbstractAssemblerSolverHybrid::SetupGivenLinearSystem.
- Parameters:
-
currentSolution The current solution which can be used in setting up the linear system if needed (NULL if there isn't a current solution) computeMatrix Whether to compute the LHS matrix of the linear system (mainly for dynamic solves).
Implements AbstractLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >.
Definition at line 116 of file SimpleLinearEllipticSolver.hpp.
| void SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::InitialiseForSolve | ( | Vec | initialSolution = NULL |
) | [inline, virtual] |
Overloaded InitaliseForSolve() which just calls the base class but also sets the matrix as symmetric and sets Conjugate Gradients as the solver
- Parameters:
-
initialSolution initialSolution (used in base class version of this method)
Reimplemented from AbstractLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >.
Reimplemented in CellBasedSimulationWithPdesAssembler< DIM >.
Definition at line 97 of file SimpleLinearEllipticSolver.cpp.
References AbstractLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::InitialiseForSolve(), AbstractLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::mpLinearSystem, LinearSystem::SetKspType(), and LinearSystem::SetMatrixIsSymmetric().
Referenced by CellBasedSimulationWithPdesAssembler< DIM >::InitialiseForSolve().
Member Data Documentation
AbstractLinearEllipticPde<ELEMENT_DIM,SPACE_DIM>* SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::mpEllipticPde [protected] |
The PDE to be solved.
Definition at line 52 of file SimpleLinearEllipticSolver.hpp.
Referenced by SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::ComputeMatrixTerm(), SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::ComputeVectorTerm(), and SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::SimpleLinearEllipticSolver().
The documentation for this class was generated from the following files:
- pde/src/solver/SimpleLinearEllipticSolver.hpp
- pde/src/solver/SimpleLinearEllipticSolver.cpp
