#include "users_modules/eshelbian_plasticity/src/EshelbianOperators.hpp"

Inheritance diagram for OpAssembleVolumePositiveDefine:

Collaboration diagram for OpAssembleVolumePositiveDefine:

Public Member Functions
MoFEMErrorCode	doWork (int side, EntityType type, EntData &data)
	Operator for linear form, usually to calculate values on right hand side.

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.

Public Member Functions inherited from OpAssembleVolume
MoFEMErrorCode	assemble (int row_side, int col_side, EntityType row_type, EntityType col_type, EntData &row_data, EntData &col_data)

Public Member Functions inherited from OpAssembleBasic< VolUserDataOperator >
	OpAssembleBasic (const std::string &field_name, boost::shared_ptr< DataAtIntegrationPts > data_ptr, const char type)

	OpAssembleBasic (std::string row_field, std::string col_field, boost::shared_ptr< DataAtIntegrationPts > data_ptr, const char type, const bool assemble_symmetry, ScaleOff scale_off=[]() { return 1;})

	OpAssembleBasic (const FieldSpace space)

virtual MoFEMErrorCode	integrate (EntData &data)

virtual MoFEMErrorCode	integrate (int row_side, EntityType row_type, EntData &data)

virtual MoFEMErrorCode	integrate (EntData &row_data, EntData &col_data)

virtual MoFEMErrorCode	assemble (EntData &data)

virtual MoFEMErrorCode	assemble (int row_side, EntityType row_type, EntData &data)

Public Member Functions inherited from MoFEM::VolumeElementForcesAndSourcesCore::UserDataOperator
int	getNumNodes ()
	get element number of nodes

const EntityHandle *	getConn ()
	get element connectivity

double	getVolume () const
	element volume (linear geometry)

double &	getVolume ()
	element volume (linear geometry)

FTensor::Tensor2< double *, 3, 3 > &	getJac ()
	get element Jacobian

FTensor::Tensor2< double *, 3, 3 > &	getInvJac ()
	get element inverse Jacobian

VectorDouble &	getCoords ()
	nodal coordinates

VolumeElementForcesAndSourcesCore *	getVolumeFE () const
	return pointer to Generic Volume Finite Element object

Public Member Functions inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
	UserDataOperator (const FieldSpace space, const char type=OPSPACE, const bool symm=true)
	Constructor for operators working on finite element spaces.

	UserDataOperator (const std::string field_name, const char type, const bool symm=true)
	Constructor for operators working on a single field.

	UserDataOperator (const std::string row_field_name, const std::string col_field_name, const char type, const bool symm=true)
	Constructor for operators working on two fields (bilinear forms)

boost::shared_ptr< const NumeredEntFiniteElement >	getNumeredEntFiniteElementPtr () const
	Return raw pointer to NumeredEntFiniteElement.

EntityHandle	getFEEntityHandle () const
	Return finite element entity handle.

int	getFEDim () const
	Get dimension of finite element.

EntityType	getFEType () const
	Get dimension of finite element.

boost::weak_ptr< SideNumber >	getSideNumberPtr (const int side_number, const EntityType type)
	Get the side number pointer.

EntityHandle	getSideEntity (const int side_number, const EntityType type)
	Get the side entity.

int	getNumberOfNodesOnElement () const
	Get the number of nodes on finite element.

MoFEMErrorCode	getProblemRowIndices (const std::string filed_name, const EntityType type, const int side, VectorInt &indices) const
	Get row indices.

MoFEMErrorCode	getProblemColIndices (const std::string filed_name, const EntityType type, const int side, VectorInt &indices) const
	Get col indices.

const FEMethod *	getFEMethod () const
	Return raw pointer to Finite Element Method object.

int	getOpType () const
	Get operator types.

void	setOpType (const OpType type)
	Set operator type.

void	addOpType (const OpType type)
	Add operator type.

int	getNinTheLoop () const
	get number of finite element in the loop

int	getLoopSize () const
	get size of elements in the loop

std::string	getFEName () const
	Get name of the element.

ForcesAndSourcesCore *	getPtrFE () const

ForcesAndSourcesCore *	getSidePtrFE () const

ForcesAndSourcesCore *	getRefinePtrFE () const

const PetscData::Switches &	getDataCtx () 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

MatrixDouble &	getGaussPts ()
	matrix of integration (Gauss) points for Volume Element

auto	getFTensor0IntegrationWeight ()
	Get integration weights.

MatrixDouble &	getCoordsAtGaussPts ()
	Gauss points and weight, matrix (nb. of points x 3)

auto	getFTensor1CoordsAtGaussPts ()
	Get coordinates at integration points assuming linear geometry.

double	getMeasure () const
	get measure of element

double &	getMeasure ()
	get measure of element

MoFEMErrorCode	loopSide (const string &fe_name, ForcesAndSourcesCore side_fe, const size_t dim, const EntityHandle ent_for_side=0, boost::shared_ptr< Range > fe_range=nullptr, 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.

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.

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.

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.

MoFEMErrorCode	loopRange (const string &fe_name, ForcesAndSourcesCore *range_fe, boost::shared_ptr< Range > fe_range, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
	Iterate over range of elements.

Public Member Functions inherited from MoFEM::DataOperator
	DataOperator (const bool symm=true)

virtual	~DataOperator ()=default

virtual MoFEMErrorCode	opLhs (EntitiesFieldData &row_data, EntitiesFieldData &col_data)

virtual MoFEMErrorCode	opRhs (EntitiesFieldData &data, const bool error_if_no_base=false)

bool	getSymm () const
	Get if operator uses symmetry of DOFs or not.

void	setSymm ()
	set if operator is executed taking in account symmetry

void	unSetSymm ()
	unset if operator is executed for non symmetric problem

Additional Inherited Members
Public Types inherited from OpAssembleVolume
using	OP = OpAssembleBasic< VolUserDataOperator >

Public Types inherited from OpAssembleBasic< VolUserDataOperator >
using	ScaleOff = boost::function< double()>

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 OpAssembleBasic< VolUserDataOperator >
const bool	assembleSymmetry

boost::shared_ptr< DataAtIntegrationPts >	dataAtPts
	data at integration pts

VectorDouble	nF
	local right hand side vector

MatrixDouble	K
	local tangent matrix

MatrixDouble	transposeK

ScaleOff	scaleOff

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.

std::array< bool, MBMAXTYPE >	doEntities
	If true operator is executed for entity.

bool &	doVertices
	\deprectaed If false skip vertices

bool &	doEdges
	\deprectaed If false skip edges

bool &	doQuads
	\deprectaed

bool &	doTris
	\deprectaed

bool &	doTets
	\deprectaed

bool &	doPrisms
	\deprectaed

Static Public Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
static const char *const	OpTypeNames []

Protected Member Functions inherited from MoFEM::VolumeElementForcesAndSourcesCore::UserDataOperator
MoFEMErrorCode	setPtrFE (ForcesAndSourcesCore *ptr)

Protected Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
ForcesAndSourcesCore *	ptrFE

Static Protected Attributes inherited from OpAssembleVolume
static std::map< std::pair< std::string, std::string >, MatrixDouble >	mapMatrix

Detailed Description

Definition at line 188 of file EshelbianOperators.hpp.

Member Function Documentation

◆ doWork() [1/2]

MoFEMErrorCode OpAssembleVolumePositiveDefine::doWork	(	int	row_side,
		int	col_side,
		EntityType	row_type,
		EntityType	col_type,
		EntData &	row_data,
		EntData &	col_data
	)

inlinevirtual

Operator for bi-linear form, usually to calculate values on left hand side.

Reimplemented from OpAssembleBasic< VolUserDataOperator >.

Definition at line 197 of file EshelbianOperators.hpp.

                                           {
    MoFEMFunctionBegin;
    if (row_data.getIndices().empty())
      MoFEMFunctionReturnHot(0);
    if (col_data.getIndices().empty())
      MoFEMFunctionReturnHot(0);
    K.resize(row_data.getIndices().size(), col_data.getIndices().size(), false);
    K.clear();
    CHKERR integrate(row_data, col_data);
 
    constexpr bool run_psd = true;
 
    if (run_psd) {
 
      auto symmetrize = [](MatrixDouble &mat) {
        MatrixDouble r = (mat + trans(mat)) / 2.0;
        return r;
      };
      auto check_positive_definite = [](MatrixDouble &mat) {
        int n = mat.size1();
        return (lapack_dpotrf('U', n, mat.data().data(), n) == 0);
      };
      auto frobenius_norm = [](MatrixDouble &mat) {
        double sum = 0.0;
        for (std::size_t i = 0; i < mat.size1(); ++i)
          for (std::size_t j = 0; j < mat.size2(); ++j)
            sum += mat(i, j) * mat(i, j);
        return std::sqrt(sum);
      };
 
      auto higham_method_one_pass = [&](MatrixDouble &mat) {
        int n = mat.size1();
        const int lda = n;
        const int size = (n + 2) * n;
        int lwork = size;
        double *work = new double[size];
 
        VectorDouble eig(n, 0.0);
        MatrixDouble eigen_vec = prod(trans(mat), mat);
        if (lapack_dsyev('V', 'U', n, eigen_vec.data().data(), lda,
                         eig.data().data(), work, lwork) > 0)
          CHK_THROW_MESSAGE(MOFEM_INVALID_DATA,
                            "The algorithm failed to compute eigenvalues.");
        delete[] work;
 
        for (auto &e : eig) {
          constexpr double eps = std::numeric_limits<double>::epsilon();
          e = std::max(std::sqrt(std::abs(e)), eps);
        }
 
        auto diagonal_matrix =
            ublas::diagonal_matrix<double, ublas::row_major,
                                   VecAllocator<double>>(n, eig.data());
        MatrixDouble symm_mat;
        symm_mat = prod(trans(eigen_vec), diagonal_matrix);
        symm_mat = prod(symm_mat, eigen_vec);
 
        MatrixDouble hat_m = (mat + symm_mat) / 2.0;
 
        return hat_m;
      };
 
      auto hat_k = higham_method_one_pass(K);
      K.swap(hat_k);
    }
 
    CHKERR assemble(row_side, col_side, row_type, col_type, row_data, col_data);
    MoFEMFunctionReturn(0);
  }

◆ doWork() [2/2]

MoFEMErrorCode OpAssembleVolumePositiveDefine::doWork	(	int	side,
		EntityType	type,
		EntData &	data
	)

inlinevirtual

Operator for linear form, usually to calculate values on right hand side.

Reimplemented from OpAssembleBasic< VolUserDataOperator >.

Definition at line 190 of file EshelbianOperators.hpp.

                                                                  {
    MoFEMFunctionBegin;
    SETERRQ(PETSC_COMM_SELF, MOFEM_NOT_IMPLEMENTED,
            "OpAssembleVolumePositiveDefine not implemented");
    MoFEMFunctionReturn(0);
  }

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

users_modules/eshelbian_plasticity/src/EshelbianOperators.hpp

Public Member Functions

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ doWork() [1/2]

◆ doWork() [2/2]