CEPS  24.01
Cardiac ElectroPhysiology Simulator
FEMonodomainAssembler.cpp
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19  Copyright 2019-2024 Inria, Universite de Bordeaux
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21  Authors, in alphabetical order:
22 
23  Pierre-Elliott BECUE, Florian CARO, Yves COUDIERE(*), Andjela DAVIDOVIC,
24  Charlie DOUANLA-LONTSI, Marc FUENTES, Mehdi JUHOOR, Michael LEGUEBE(*),
25  Pauline MIGERDITICHAN, Valentin PANNETIER(*), Nejib ZEMZEMI.
26  * : currently active authors
27 
28 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~*/
31 
33  MonodomainProblem* problem,
34  FiniteElements* fe
35 ):
36  FEHeatAssembler(fe, false, problem->getTissueAttributes(), {problem->getTMVUnknown()}),
37  FECardiacParameters(problem),
38  m_vm(problem->getTMVUnknown())
39 {
40 }
41 
42 void
44  FEBase* element,
45  CepsReal3D xQ,
46  CepsReal t,
47  const CepsMathDynamic1D& phi,
48  const CepsMathDynamic2D& gradPhi
49 )
50 {
52 
53  CepsStandardArgs args;
54  args.x = xQ;
55  args.t = t;
56  args.cellId = element->getGeomObject()->getGlobalIndex();
57 
58  CepsMathTensor sigmaI = m_sigmaI->getValue(element->getGeomObject(),t);
59  CepsMathTensor sigmaE = m_sigmaE->getValue(element->getGeomObject(),t);
60  CepsMathTensor sigmaM = (sigmaI.inverse() + sigmaE.inverse()).inverse();
61 
62  CepsReal Am = m_Am->eval(args);
63  CepsReal Cm = m_Cm->eval(args);
64 
66  {
67  m_bMat[0][0] += phi*phi.transpose();
68  }
70  {
71  m_bMat[0][0] += 1.0/(Am*Cm)*gradPhi.transpose()*sigmaM*gradPhi;
72  }
73  return;
74 }
75 
@ TimeDerivative
Compute matrix of time derivatives.
@ SpatialOperator
Compute matrix of spatial operators.
Eigen::Matrix< CepsScalar, Eigen::Dynamic, 1 > CepsMathDynamic1D
Dynamic 1D array, eigen format.
Definition: CepsTypes.hpp:139
Eigen::Matrix< CepsScalar, 3, 3 > CepsMathTensor
Tensor, eigen format.
Definition: CepsTypes.hpp:137
float CepsReal
Need single precision floating point.
Definition: CepsTypes.hpp:100
CepsArray3< CepsReal > CepsReal3D
Three real scalars, used like this for compatibility in polynomials.
Definition: CepsTypes.hpp:178
Eigen::Matrix< CepsScalar, Eigen::Dynamic, Eigen::Dynamic > CepsMathDynamic2D
Dynamic 2D array, eigen format.
Definition: CepsTypes.hpp:140
CepsAssemblingFlag getAssemblingFlag() const
Get part to assemble in an assembler, see values of CepsAssemblingFlag.
void setupBlocksOnElementForUnknown(FEBase *elem, Unknown *unknown)
Get all the dofs on an element related to the given unknowns. This routine MUST be called before sumB...
CepsVector< CepsVector< CepsMathDynamic2D > > m_bMat
Block submatrices. The first two vectors account for unknowns: if assembly on element if for unknowns...
Abstract class for finite elements.
Definition: FEBase.hpp:65
Common elements of cardiac assemblers.
ScalarSAFunc * m_Cm
Shortcut to Cm coefficient.
TensorField< GeomCell > * m_sigmaE
Shortcut to conductivities.
TensorField< GeomCell > * m_sigmaI
Shortcut to conductivities.
ScalarSAFunc * m_Am
Shortcut to Am coefficient.
Assembles the heat problem matrix for a given set of finite elements. here the diffusion coefficient ...
FEMonodomainAssembler(MonodomainProblem *problem, FiniteElements *fe)
Constructor.
void computeBlocksOnElementAtQuadPoint(FEBase *element, CepsReal3D xQ, CepsReal t, const CepsMathDynamic1D &phi, const CepsMathDynamic2D &gradPhi) override
The function that is called to get the coefficients of the submatrix on a given finite element....
Unknown * m_vm
Link to transmembrane voltage unknown.
Holds all finite elements corresponding to each geometrical element.
Defines and solve the monodomain problem, see models page of user doc.
Unknown * getTMVUnknown() const
Link to the single unknown of the problem.
_GeomObject * getGeomObject() const
Get the geom object.
const CepsGlobalIndex & getGlobalIndex() const
Get the index
Structure used to pass arguments to SAFunc (see pde directory) The flags of the SAFunc allows extract...
Definition: CepsTypes.hpp:239
CepsCellGlobalIndex cellId
cell index
Definition: CepsTypes.hpp:245
CepsReal3D x
space
Definition: CepsTypes.hpp:241
CepsReal t
time
Definition: CepsTypes.hpp:240