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MetaSpringBC::OpSpringALEMaterialLhs_dX_dX Struct Reference

LHS-operator for the pressure element (material configuration) More...

#include <users_modules/basic_finite_elements/src/SpringElement.hpp>

Inheritance diagram for MetaSpringBC::OpSpringALEMaterialLhs_dX_dX:
[legend]
Collaboration diagram for MetaSpringBC::OpSpringALEMaterialLhs_dX_dX:
[legend]

Public Member Functions

MoFEMErrorCode doWork (int row_side, int col_side, EntityType row_type, EntityType col_type, EntData &row_data, EntData &col_data)
 
MoFEMErrorCode iNtegrate (EntData &row_data, EntData &col_data)
 Compute part of the left-hand side. More...
 
 OpSpringALEMaterialLhs_dX_dX (const string field_name_1, const string field_name_2, boost::shared_ptr< DataAtIntegrationPtsSprings > data_at_spring_pts, boost::shared_ptr< VolumeElementForcesAndSourcesCoreOnSide > side_fe, std::string &side_fe_name)
 
- Public Member Functions inherited from MetaSpringBC::OpSpringALEMaterialLhs
virtual MoFEMErrorCode doWork (int row_side, int col_side, EntityType row_type, EntityType col_type, EntData &row_data, EntData &col_data)
 Operator for bi-linear form, usually to calculate values on left hand side. More...
 
virtual MoFEMErrorCode iNtegrate (EntData &row_data, EntData &col_data)
 
MoFEMErrorCode aSsemble (EntData &row_data, EntData &col_data)
 
 OpSpringALEMaterialLhs (const string field_name_1, const string field_name_2, boost::shared_ptr< DataAtIntegrationPtsSprings > data_at_spring_pts, boost::shared_ptr< VolumeElementForcesAndSourcesCoreOnSide > side_fe, std::string &side_fe_name)
 
- Public Member Functions inherited from MoFEM::FaceElementForcesAndSourcesCore::UserDataOperator
double getArea ()
 get area of face More...
 
VectorDoublegetNormal ()
 get triangle normal More...
 
VectorDoublegetTangent1 ()
 get triangle tangent 1 More...
 
VectorDoublegetTangent2 ()
 get triangle tangent 2 More...
 
auto getFTensor1Normal ()
 get normal as tensor More...
 
auto getFTensor1Tangent1 ()
 get tangentOne as tensor More...
 
auto getFTensor1Tangent2 ()
 get tangentTwo as tensor More...
 
int getNumNodes ()
 get element number of nodes More...
 
const EntityHandlegetConn ()
 get element connectivity More...
 
VectorDoublegetCoords ()
 get triangle coordinates More...
 
auto getFTensor1Coords ()
 get get coords at gauss points More...
 
MatrixDoublegetNormalsAtGaussPts ()
 if higher order geometry return normals at Gauss pts. More...
 
ublas::matrix_row< MatrixDoublegetNormalsAtGaussPts (const int gg)
 if higher order geometry return normals at Gauss pts. More...
 
MatrixDoublegetTangent1AtGaussPts ()
 if higher order geometry return tangent vector to triangle at Gauss pts. More...
 
MatrixDoublegetTangent2AtGaussPts ()
 if higher order geometry return tangent vector to triangle at Gauss pts. More...
 
auto getFTensor1NormalsAtGaussPts ()
 get normal at integration points More...
 
auto getFTensor1Tangent1AtGaussPts ()
 get tangent 1 at integration points More...
 
auto getFTensor1Tangent2AtGaussPts ()
 get tangent 2 at integration points More...
 
FaceElementForcesAndSourcesCoregetFaceFE ()
 return pointer to Generic Triangle Finite Element object More...
 
MoFEMErrorCode loopSideVolumes (const string fe_name, VolumeElementForcesAndSourcesCoreOnSide &fe_method)
 
- Public Member Functions inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
 UserDataOperator (const FieldSpace space, const char type=OPSPACE, const bool symm=true)
 
 UserDataOperator (const std::string field_name, const char type, const bool symm=true)
 
 UserDataOperator (const std::string row_field_name, const std::string col_field_name, const char type, const bool symm=true)
 
boost::shared_ptr< const NumeredEntFiniteElementgetNumeredEntFiniteElementPtr () const
 Return raw pointer to NumeredEntFiniteElement. More...
 
EntityHandle getFEEntityHandle () const
 Return finite element entity handle. More...
 
int getFEDim () const
 Get dimension of finite element. More...
 
EntityType getFEType () const
 Get dimension of finite element. More...
 
boost::weak_ptr< SideNumbergetSideNumberPtr (const int side_number, const EntityType type)
 Get the side number pointer. More...
 
EntityHandle getSideEntity (const int side_number, const EntityType type)
 Get the side entity. More...
 
int getNumberOfNodesOnElement () const
 Get the number of nodes on finite element. More...
 
MoFEMErrorCode getProblemRowIndices (const std::string filed_name, const EntityType type, const int side, VectorInt &indices) const
 Get row indices. More...
 
MoFEMErrorCode getProblemColIndices (const std::string filed_name, const EntityType type, const int side, VectorInt &indices) const
 Get col indices. More...
 
const FEMethodgetFEMethod () const
 Return raw pointer to Finite Element Method object. More...
 
int getOpType () const
 Get operator types. More...
 
void setOpType (const OpType type)
 Set operator type. More...
 
void addOpType (const OpType type)
 Add operator type. More...
 
int getNinTheLoop () const
 get number of finite element in the loop More...
 
int getLoopSize () const
 get size of elements in the loop More...
 
std::string getFEName () const
 Get name of the element. More...
 
ForcesAndSourcesCoregetPtrFE () const
 
ForcesAndSourcesCoregetSidePtrFE () const
 
ForcesAndSourcesCoregetRefinePtrFE () const
 
const PetscData::SwitchesgetDataCtx () const
 
const KspMethod::KSPContext getKSPCtx () const
 
const SnesMethod::SNESContext getSNESCtx () const
 
const TSMethod::TSContext getTSCtx () const
 
Vec getKSPf () const
 
Mat getKSPA () const
 
Mat getKSPB () const
 
Vec getSNESf () const
 
Vec getSNESx () const
 
Mat getSNESA () const
 
Mat getSNESB () const
 
Vec getTSu () const
 
Vec getTSu_t () const
 
Vec getTSu_tt () const
 
Vec getTSf () const
 
Mat getTSA () const
 
Mat getTSB () const
 
int getTSstep () const
 
double getTStime () const
 
double getTStimeStep () const
 
double getTSa () const
 
double getTSaa () const
 
MatrixDoublegetGaussPts ()
 matrix of integration (Gauss) points for Volume Element More...
 
auto getFTensor0IntegrationWeight ()
 Get integration weights. More...
 
MatrixDoublegetCoordsAtGaussPts ()
 Gauss points and weight, matrix (nb. of points x 3) More...
 
auto getFTensor1CoordsAtGaussPts ()
 Get coordinates at integration points assuming linear geometry. More...
 
double getMeasure () const
 get measure of element More...
 
doublegetMeasure ()
 get measure of element More...
 
MoFEMErrorCode loopSide (const string &fe_name, ForcesAndSourcesCore *side_fe, const size_t dim, const EntityHandle ent_for_side=0, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy, AdjCache *adj_cache=nullptr)
 User calls this function to loop over elements on the side of face. This function calls finite element with its operator to do calculations. More...
 
MoFEMErrorCode loopThis (const string &fe_name, ForcesAndSourcesCore *this_fe, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
 User calls this function to loop over the same element using a different set of integration points. This function calls finite element with its operator to do calculations. More...
 
MoFEMErrorCode loopParent (const string &fe_name, ForcesAndSourcesCore *parent_fe, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
 User calls this function to loop over parent elements. This function calls finite element with its operator to do calculations. More...
 
MoFEMErrorCode loopChildren (const string &fe_name, ForcesAndSourcesCore *child_fe, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
 User calls this function to loop over parent elements. This function calls finite element with its operator to do calculations. More...
 
- Public Member Functions inherited from MoFEM::DataOperator
 DataOperator (const bool symm=true)
 
virtual ~DataOperator ()=default
 
virtual MoFEMErrorCode doWork (int row_side, int col_side, EntityType row_type, EntityType col_type, EntitiesFieldData::EntData &row_data, EntitiesFieldData::EntData &col_data)
 Operator for bi-linear form, usually to calculate values on left hand side. More...
 
virtual MoFEMErrorCode opLhs (EntitiesFieldData &row_data, EntitiesFieldData &col_data)
 
virtual MoFEMErrorCode doWork (int side, EntityType type, EntitiesFieldData::EntData &data)
 Operator for linear form, usually to calculate values on right hand side. More...
 
virtual MoFEMErrorCode opRhs (EntitiesFieldData &data, const bool error_if_no_base=false)
 
bool getSymm () const
 Get if operator uses symmetry of DOFs or not. More...
 
void setSymm ()
 set if operator is executed taking in account symmetry More...
 
void unSetSymm ()
 unset if operator is executed for non symmetric problem More...
 

Additional Inherited Members

- Public Types inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
enum  OpType {
  OPROW = 1 << 0 , OPCOL = 1 << 1 , OPROWCOL = 1 << 2 , OPSPACE = 1 << 3 ,
  OPLAST = 1 << 3
}
 Controls loop over entities on element. More...
 
using AdjCache = std::map< EntityHandle, std::vector< boost::weak_ptr< NumeredEntFiniteElement > > >
 
- Public Types inherited from MoFEM::DataOperator
using DoWorkLhsHookFunType = boost::function< MoFEMErrorCode(DataOperator *op_ptr, int row_side, int col_side, EntityType row_type, EntityType col_type, EntitiesFieldData::EntData &row_data, EntitiesFieldData::EntData &col_data)>
 
using DoWorkRhsHookFunType = boost::function< MoFEMErrorCode(DataOperator *op_ptr, int side, EntityType type, EntitiesFieldData::EntData &data)>
 
- Public Attributes inherited from MetaSpringBC::OpSpringALEMaterialLhs
boost::shared_ptr< DataAtIntegrationPtsSpringsdataAtSpringPts
 
boost::shared_ptr< VolumeElementForcesAndSourcesCoreOnSide > sideFe
 
std::string sideFeName
 
MatrixDouble NN
 
VectorInt rowIndices
 
VectorInt colIndices
 
int row_nb_dofs
 
int col_nb_dofs
 
int nb_gauss_pts
 
int nb_base_fun_row
 
int nb_base_fun_col
 
bool diagonal_block
 
- Public Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
char opType
 
std::string rowFieldName
 
std::string colFieldName
 
FieldSpace sPace
 
- Public Attributes inherited from MoFEM::DataOperator
DoWorkLhsHookFunType doWorkLhsHook
 
DoWorkRhsHookFunType doWorkRhsHook
 
bool sYmm
 If true assume that matrix is symmetric structure. More...
 
std::array< bool, MBMAXTYPE > doEntities
 If true operator is executed for entity. More...
 
booldoVertices
 \deprectaed If false skip vertices More...
 
booldoEdges
 \deprectaed If false skip edges More...
 
booldoQuads
 \deprectaed More...
 
booldoTris
 \deprectaed More...
 
booldoTets
 \deprectaed More...
 
booldoPrisms
 \deprectaed More...
 
- Static Public Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
static const char *const OpTypeNames []
 
virtual MoFEMErrorCode setPtrFE (ForcesAndSourcesCore *ptr)
 
- Protected Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
ForcesAndSourcesCoreptrFE
 

Detailed Description

LHS-operator for the pressure element (material configuration)

Computes linearisation of the material component with respect to material coordinates (also triggers a loop over operators from the side volume).

Definition at line 544 of file SpringElement.hpp.

Constructor & Destructor Documentation

◆ OpSpringALEMaterialLhs_dX_dX()

MetaSpringBC::OpSpringALEMaterialLhs_dX_dX::OpSpringALEMaterialLhs_dX_dX ( const string  field_name_1,
const string  field_name_2,
boost::shared_ptr< DataAtIntegrationPtsSprings data_at_spring_pts,
boost::shared_ptr< VolumeElementForcesAndSourcesCoreOnSide >  side_fe,
std::string &  side_fe_name 
)
inline

Definition at line 612 of file SpringElement.hpp.

617 : OpSpringALEMaterialLhs(field_name_1, field_name_2, data_at_spring_pts,
618 side_fe, side_fe_name) {
619 sYmm = false; // This will make sure to loop over all entities
620 };
OpSpringALEMaterialLhs(const string field_name_1, const string field_name_2, boost::shared_ptr< DataAtIntegrationPtsSprings > data_at_spring_pts, boost::shared_ptr< VolumeElementForcesAndSourcesCoreOnSide > side_fe, std::string &side_fe_name)
bool sYmm
If true assume that matrix is symmetric structure.

Member Function Documentation

◆ doWork()

MoFEMErrorCode MetaSpringBC::OpSpringALEMaterialLhs_dX_dX::doWork ( int  row_side,
int  col_side,
EntityType  row_type,
EntityType  col_type,
EntData row_data,
EntData col_data 
)
virtual

Integrates a contribution to the left-hand side and triggers a loop over side volume operators.

Reimplemented from MetaSpringBC::OpSpringALEMaterialLhs.

Definition at line 576 of file SpringElement.cpp.

578 {
579
581
582 row_nb_dofs = row_data.getIndices().size();
583 if (!row_nb_dofs)
585 col_nb_dofs = col_data.getIndices().size();
586 if (!col_nb_dofs)
588 nb_gauss_pts = row_data.getN().size1();
589
590 nb_base_fun_row = row_data.getFieldData().size() / 3;
591 nb_base_fun_col = col_data.getFieldData().size() / 3;
592
593 NN.resize(3 * nb_base_fun_row, 3 * nb_base_fun_col, false);
594 NN.clear();
595
596 diagonal_block = (row_type == col_type) && (row_side == col_side);
597
598 if (col_type == MBVERTEX) {
599 dataAtSpringPts->faceRowData = &row_data;
601 }
602
603 // integrate local matrix for entity block
604 CHKERR iNtegrate(row_data, col_data);
605
606 // assemble local matrix
607 CHKERR aSsemble(row_data, col_data);
608
610}
#define MoFEMFunctionReturnHot(a)
Last executable line of each PETSc function used for error handling. Replaces return()
Definition: definitions.h:447
#define MoFEMFunctionBegin
First executable line of each MoFEM function, used for error handling. Final line of MoFEM functions ...
Definition: definitions.h:346
#define MoFEMFunctionReturn(a)
Last executable line of each PETSc function used for error handling. Replaces return()
Definition: definitions.h:416
#define CHKERR
Inline error check.
Definition: definitions.h:535
MoFEMErrorCode iNtegrate(EntData &row_data, EntData &col_data)
Compute part of the left-hand side.
boost::shared_ptr< DataAtIntegrationPtsSprings > dataAtSpringPts
boost::shared_ptr< VolumeElementForcesAndSourcesCoreOnSide > sideFe
MoFEMErrorCode aSsemble(EntData &row_data, EntData &col_data)
MatrixDouble & getN(const FieldApproximationBase base)
get base functions this return matrix (nb. of rows is equal to nb. of Gauss pts, nb....
const VectorDouble & getFieldData() const
get dofs values
const VectorInt & getIndices() const
Get global indices of dofs on entity.
MoFEMErrorCode loopSideVolumes(const string fe_name, VolumeElementForcesAndSourcesCoreOnSide &fe_method)

◆ iNtegrate()

MoFEMErrorCode MetaSpringBC::OpSpringALEMaterialLhs_dX_dX::iNtegrate ( EntData row_data,
EntData col_data 
)
virtual

Compute part of the left-hand side.

Computes the linearisation of the material component with respect to a variation of material coordinates \((\Delta\mathbf{X})\):

\[ \textrm{D} f^{\textrm{(face)}}_s(\mathbf{x}, \mathbf{X}, \delta\mathbf{X}) [\Delta\mathbf{X}] = -\int\limits_{\mathcal{T}_{\xi}} \, 0.5 (k_{\rm n} - k_{\rm s}) \mathbf{F}^{\intercal}\cdot \left\{ \left[ \frac{\partial\mathbf{X}} {\partial\xi} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\eta}\times\delta\mathbf{X}\right) -\frac{\partial\mathbf{X}} {\partial\eta} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\xi}\times \delta\mathbf{X}\right)\right] \otimes \dfrac{\mathbf{N}}{\|\mathbf{N}\|} + \dfrac{\mathbf{N}}{\|\mathbf{N}\|} \otimes \left[ \frac{\partial\mathbf{X}} {\partial\xi} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\eta}\times\delta\mathbf{X}\right) -\frac{\partial\mathbf{X}} {\partial\eta} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\xi}\times \delta\mathbf{X}\right)\right] - \dfrac{\mathbf{N} \otimes \mathbf{N}}{{\| \mathbf{N} \|}^3} \left[ \frac{\partial\mathbf{X}} {\partial\xi} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\eta}\times\delta\mathbf{X}\right) -\frac{\partial\mathbf{X}} {\partial\eta} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\xi}\times \delta\mathbf{X}\right)\right] \mathbf{N} \right \} \textrm{d}\xi\textrm{d}\eta \\ +\int\limits_{\mathcal{T}_{\xi}} 0.5 k_{\rm s} {\mathbf{F}^{\intercal}} \left[ \frac{\partial\mathbf{X}} {\partial\xi} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\eta}\times\delta\mathbf{X}\right) -\frac{\partial\mathbf{X}} {\partial\eta} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\xi}\times \delta\mathbf{X}\right)\right] {\mathbf N}^{\intercal} \cdot {\mathbf I} ( {\mathbf x} - {\mathbf X} ) \textrm{d}\xi\textrm{d}\eta -\int\limits_{\mathcal{T}_{\xi}} {{\delta \mathbf{X}^T} \cdot {\mathbf{F}^{\intercal}} \left[ k_{\rm n} \left( {\mathbf N} \otimes {\mathbf N} \right) + k_{\rm t} \left( {\mathbf I} - {\mathbf N} \otimes {\mathbf N} \right) \right] \Delta {\mathbf X} } \textrm{d}\xi\textrm{d}\eta \]

Reimplemented from MetaSpringBC::OpSpringALEMaterialLhs.

Definition at line 613 of file SpringElement.cpp.

614 {
615
617
622
623 auto get_tensor2 = [](MatrixDouble &m, const int r, const int c) {
625 &m(r + 0, c + 0), &m(r + 0, c + 1), &m(r + 0, c + 2), &m(r + 1, c + 0),
626 &m(r + 1, c + 1), &m(r + 1, c + 2), &m(r + 2, c + 0), &m(r + 2, c + 1),
627 &m(r + 2, c + 2));
628 };
629
630 auto make_vec_der = [&](auto t_N, auto t_1, auto t_2) {
632 t_n(i, j) = 0;
633 t_n(i, j) += FTensor::levi_civita(i, j, k) * t_2(k) * t_N(0);
634 t_n(i, j) -= FTensor::levi_civita(i, j, k) * t_1(k) * t_N(1);
635 return t_n;
636 };
637
638 auto make_vec_der_2 = [&](auto t_N, auto t_1, auto t_2) {
640 t_normal(i) = FTensor::levi_civita(i, j, k) * t_1(j) * t_2(k);
641 const double normal_norm = std::sqrt(t_normal(i) * t_normal(i));
643 t_n(i, j) = 0;
644 t_n(i, j) += FTensor::levi_civita(i, j, k) * t_2(k) * t_N(0);
645 t_n(i, j) -= FTensor::levi_civita(i, j, k) * t_1(k) * t_N(1);
647 t_result(i, j) = 0;
648 t_result(i, j) =
649 t_n(i, j) / normal_norm - t_normal(i) * t_n(k, j) * t_normal(k) /
650 (normal_norm * normal_norm * normal_norm);
651 return t_result;
652 };
653
654 dataAtSpringPts->faceRowData = nullptr;
656
657 auto t_F = getFTensor2FromMat<3, 3>(*dataAtSpringPts->FMat);
658
659 auto t_w = getFTensor0IntegrationWeight();
660 auto t_1 = getFTensor1FromMat<3>(dataAtSpringPts->tangent1);
661 auto t_2 = getFTensor1FromMat<3>(dataAtSpringPts->tangent2);
662
663 const double normal_stiffness = dataAtSpringPts->springStiffnessNormal;
664 const double tangent_stiffness = dataAtSpringPts->springStiffnessTangent;
665
666 // create a 3d vector to be used as the normal to the face with length equal
667 // to the face area
669 FTensor::Tensor2<double, 3, 3> t_normal_projection;
670 FTensor::Tensor2<double, 3, 3> t_tangent_projection;
671
672 // Extract solution at Gauss points
673 auto t_solution_at_gauss_point =
674 getFTensor1FromMat<3>(*dataAtSpringPts->xAtPts);
675 auto t_init_solution_at_gauss_point =
676 getFTensor1FromMat<3>(*dataAtSpringPts->xInitAtPts);
677 FTensor::Tensor1<double, 3> t_displacement_at_gauss_point;
678
679 auto t_normal_1 = getFTensor1FromMat<3>(dataAtSpringPts->normalVector);
681
682 for (int gg = 0; gg != nb_gauss_pts; ++gg) {
683 t_normal(i) = t_normal_1(i);
684
685 const double normal_length = std::sqrt(t_normal(k) * t_normal(k));
686 t_normal(i) = t_normal(i) / normal_length;
687 t_normal_projection(i, j) = t_normal(i) * t_normal(j);
688 t_tangent_projection(i, j) = t_normal_projection(i, j);
689 t_tangent_projection(0, 0) -= 1;
690 t_tangent_projection(1, 1) -= 1;
691 t_tangent_projection(2, 2) -= 1;
692 // Calculate the displacement at the Gauss point
693 t_displacement_at_gauss_point(i) =
694 t_solution_at_gauss_point(i) - t_init_solution_at_gauss_point(i);
695 double val = 0.5 * t_w;
696
697 auto t_N = col_data.getFTensor1DiffN<2>(gg, 0);
698 auto t_col_base_func = col_data.getFTensor0N(gg, 0);
699 int bbc = 0;
700 for (; bbc != nb_base_fun_col; ++bbc) {
701
702 auto t_row_base_func = row_data.getFTensor0N(gg, 0);
703
704 int bbr = 0;
705 for (; bbr != nb_base_fun_row; ++bbr) {
706
707 auto t_d_n = make_vec_der(t_N, t_1, t_2);
708
709 auto t_assemble = get_tensor2(NN, 3 * bbr, 3 * bbc);
710
711 auto t_d_n_2 = make_vec_der_2(t_N, t_1, t_2);
712
713 t_assemble(i, j) += val * normal_length * t_col_base_func *
714 normal_stiffness * t_row_base_func * t_F(k, i) *
715 t_normal_projection(k, j);
716
717 t_assemble(i, j) -= val * normal_length * t_col_base_func *
718 tangent_stiffness * t_row_base_func * t_F(k, i) *
719 t_tangent_projection(k, j);
720
721 t_assemble(i, j) -=
722 val * (normal_stiffness - tangent_stiffness) * t_row_base_func *
723 t_F(l, i) *
724 (t_d_n(l, j) * (t_normal(k) * t_displacement_at_gauss_point(k)) +
725 normal_length * t_normal(l) *
726 (t_d_n_2(k, j) * t_displacement_at_gauss_point(k)));
727 // constexpr auto t_kd = FTensor::Kronecker_Delta_symmetric<int>();
728 t_assemble(i, j) -= val * (t_d_n(l, j) * t_normal(l)) *
729 tangent_stiffness * t_row_base_func * t_F(k, i) *
730 t_displacement_at_gauss_point(k);
731
732 ++t_row_base_func;
733 }
734 ++t_N;
735 ++t_col_base_func;
736 }
737 ++t_F;
738 ++t_w;
739 ++t_1;
740 ++t_2;
741 ++t_normal_1;
742 ++t_solution_at_gauss_point;
743 ++t_init_solution_at_gauss_point;
744 }
745
747}
Kronecker Delta class symmetric.
FTensor::Index< 'm', SPACE_DIM > m
constexpr auto t_kd
FTensor::Index< 'i', SPACE_DIM > i
const double c
speed of light (cm/ns)
FTensor::Index< 'l', 3 > l
FTensor::Index< 'j', 3 > j
FTensor::Index< 'k', 3 > k
constexpr std::enable_if<(Dim0<=2 &&Dim1<=2), Tensor2_Expr< Levi_Civita< T >, T, Dim0, Dim1, i, j > >::type levi_civita(const Index< i, Dim0 > &, const Index< j, Dim1 > &)
levi_civita functions to make for easy adhoc use
int r
Definition: sdf.py:8
FTensor::Tensor1< FTensor::PackPtr< double *, Tensor_Dim >, Tensor_Dim > getFTensor1DiffN(const FieldApproximationBase base)
Get derivatives of base functions.
FTensor::Tensor0< FTensor::PackPtr< double *, 1 > > getFTensor0N(const FieldApproximationBase base)
Get base function as Tensor0.
auto getFTensor0IntegrationWeight()
Get integration weights.

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