Chaste Commit::ca8ccdedf819b6e02855bc0e8e6f50bdecbc5208
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#include <MonodomainAssembler.hpp>
Additional Inherited Members | |
Protected Types inherited from AbstractFeVolumeIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX, INTERPOLATION_LEVEL > | |
typedef LinearBasisFunction< ELEMENT_DIM > | BasisFunction |
Protected Member Functions inherited from AbstractFeVolumeIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX, INTERPOLATION_LEVEL > | |
void | ComputeTransformedBasisFunctionDerivatives (const ChastePoint< ELEMENT_DIM > &rPoint, const c_matrix< double, ELEMENT_DIM, SPACE_DIM > &rInverseJacobian, c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &rReturnValue) |
void | DoAssemble () |
virtual c_matrix< double, PROBLEM_DIM *(ELEMENT_DIM+1), PROBLEM_DIM *(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, PROBLEM_DIM > &rU, c_matrix< double, PROBLEM_DIM, SPACE_DIM > &rGradU, Element< ELEMENT_DIM, SPACE_DIM > *pElement) |
virtual c_vector< double, PROBLEM_DIM *(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, PROBLEM_DIM > &rU, c_matrix< double, PROBLEM_DIM, SPACE_DIM > &rGradU, Element< ELEMENT_DIM, SPACE_DIM > *pElement) |
virtual void | AssembleOnElement (Element< ELEMENT_DIM, SPACE_DIM > &rElement, c_matrix< double, PROBLEM_DIM *(ELEMENT_DIM+1), PROBLEM_DIM *(ELEMENT_DIM+1) > &rAElem, c_vector< double, PROBLEM_DIM *(ELEMENT_DIM+1)> &rBElem) |
virtual bool | ElementAssemblyCriterion (Element< ELEMENT_DIM, SPACE_DIM > &rElement) |
Protected Member Functions inherited from AbstractFeAssemblerCommon< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX, INTERPOLATION_LEVEL > | |
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) |
Assembler, mainly used for assembling the LHS matrix of the linear system that arises when the monodomain equations are discretised.
The discretised monodomain equation leads to the linear system (see FEM implementations document)
( (chi*C/dt) M + K ) V^{n+1} = (chi*C/dt) M V^{n} + M F^{n} + c_surf
where chi is the surface-area to volume ratio, C the capacitance, dt the timestep M the mass matrix, K the stiffness matrix, V^{n} the vector of voltages at time n, F^{n} the vector of (chi*Iionic + Istim) at each node, and c_surf a vector arising from any surface stimuli (usually zero).
This assembler is used for assembling the matrix A :=(chi*C/dt) M + K. Hence, this class inherits from AbstractCardiacFeVolumeIntegralAssembler and implements the method ComputeMatrixTerm().
Definition at line 64 of file MonodomainAssembler.hpp.
MonodomainAssembler< ELEMENT_DIM, SPACE_DIM >::MonodomainAssembler | ( | AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > * | pMesh, |
MonodomainTissue< ELEMENT_DIM, SPACE_DIM > * | pTissue | ||
) |
Constructor
pMesh | pointer to the mesh |
pTissue | pointer to the tissue |
Definition at line 57 of file MonodomainAssembler.cpp.
c_matrix< double, 1 *(ELEMENT_DIM+1), 1 *(ELEMENT_DIM+1)> MonodomainAssembler< 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 | ||
) |
This method is called by AssembleOnElement() and tells the assembler the contribution to add to the element stiffness matrix.
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 |
Am and Cm are set as scaling factors for the mass matrix in its constructor.
Definition at line 43 of file MonodomainAssembler.cpp.
References PdeSimulationTime::GetPdeTimeStepInverse().
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protected |
This assembler uses another assembler, though just for calling the ComputeMatrixTerm() method.
Definition at line 70 of file MonodomainAssembler.hpp.
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protected |
This assembler uses another assembler, though just for calling the ComputeMatrixTerm() method.
Definition at line 74 of file MonodomainAssembler.hpp.