OpDomainTangentMatrix Struct Reference

Integrate the domain tangent matrix (LHS) More...

Inheritance diagram for OpDomainTangentMatrix:

Collaboration diagram for OpDomainTangentMatrix:

Public Member Functions
	OpDomainTangentMatrix (std::string row_field_name, std::string col_field_name, boost::shared_ptr< MatrixDouble > field_grad_mat)
MoFEMErrorCode	iNtegrate (EntData &row_data, EntData &col_data)
	Integrate grad-grad operator.
Public Member Functions inherited from MoFEM::OpBaseImpl< A, EleOp >
	OpBaseImpl (const std::string row_field_name, const std::string col_field_name, const OpType type, boost::shared_ptr< Range > ents_ptr=nullptr)
	Constructor for base operator implementation.
MoFEMErrorCode	doWork (int row_side, int col_side, EntityType row_type, EntityType col_type, EntData &row_data, EntData &col_data)
	Do calculations for the left hand side.
MoFEMErrorCode	doWork (int row_side, EntityType row_type, EntData &row_data)
	Do calculations for the right hand side.

Private Attributes
boost::shared_ptr< MatrixDouble >	fieldGradMat

Additional Inherited Members
Public Types inherited from MoFEM::OpBaseImpl< A, EleOp >
using	OpType = typename EleOp::OpType
using	EntData = EntitiesFieldData::EntData
using	MatSetValuesHook = boost::function< MoFEMErrorCode(ForcesAndSourcesCore::UserDataOperator *op_ptr, const EntitiesFieldData::EntData &row_data, const EntitiesFieldData::EntData &col_data, MatrixDouble &m)>
Public Attributes inherited from MoFEM::OpBaseImpl< A, EleOp >
TimeFun	timeScalingFun
	assumes that time variable is set
FEFun	feScalingFun
	set by fe entity handle
boost::shared_ptr< Range >	entsPtr
	Entities on which element is run.
Static Public Attributes inherited from MoFEM::OpBaseImpl< A, EleOp >
static MatSetValuesHook	matSetValuesHook
Protected Member Functions inherited from MoFEM::OpBaseImpl< A, EleOp >
template<int DIM>
auto	getNf ()
	Get local vector tensor for assembly.
template<int ROW_DIM, int COL_DIM = ROW_DIM>
FTensor::Tensor2< FTensor::PackPtr< double *, COL_DIM >, ROW_DIM, COL_DIM >	getLocMat (const int rr)
	Get local matrix tensor for assembly.
virtual MoFEMErrorCode	aSsemble (EntData &row_data, EntData &col_data, const bool trans)
	Assemble local matrix into global matrix.
virtual MoFEMErrorCode	iNtegrate (EntData &)
	Class dedicated to integrate operator.
virtual MoFEMErrorCode	aSsemble (EntData &data)
	Assemble local vector into global vector.
virtual size_t	getNbOfBaseFunctions (EntitiesFieldData::EntData &data)
	Get number of base functions.
Protected Attributes inherited from MoFEM::OpBaseImpl< A, EleOp >
int	nbRows
	number of dofs on rows
int	nbCols
	number if dof on column
int	nbIntegrationPts
	number of integration points
int	nbRowBaseFunctions
	number or row base functions
int	rowSide
	row side number
int	colSide
	column side number
EntityType	rowType
	row type
EntityType	colType
	column type
bool	assembleTranspose
bool	onlyTranspose
MatrixDouble	locMat
	local entity block matrix
MatrixDouble	locMatTranspose
	local entity block matrix
VectorDouble	locF
	local entity vector

Detailed Description

Integrate the domain tangent matrix (LHS)

\[ \sum\limits_j {\left[ {\int\limits_{{\Omega _e}} {\left( {{a_n}\nabla {\phi _i} \cdot \nabla {\phi _j} - a_n^3\nabla {\phi _i}\left( {\nabla u \cdot \nabla {\phi _j}} \right)\nabla u} \right)d{\Omega _e}} } \right]\delta {U_j}} = \int\limits_{{\Omega _e}} {{\phi _i}fd{\Omega _e}} - \int\limits_{{\Omega _e}} {\nabla {\phi _i}{a_n}\nabla ud{\Omega _e}} \\ {a_n} = \frac{1}{{{{\left( {1 + {{\left| {\nabla u} \right|}^2}} \right)}^{\frac{1}{2}}}}} \]

Definition at line 40 of file minimal_surface_equation.cpp.

Constructor & Destructor Documentation

OpDomainTangentMatrix()

OpDomainTangentMatrix::OpDomainTangentMatrix ( std::string  row_field_name, std::string  col_field_name, boost::shared_ptr< MatrixDouble >  field_grad_mat  )

inline

Definition at line 42 of file minimal_surface_equation.cpp.

      : AssemblyDomainEleOp(row_field_name, col_field_name,
                            DomainEleOp::OPROWCOL),
        fieldGradMat(field_grad_mat) {}

Member Function Documentation

iNtegrate()

MoFEMErrorCode OpDomainTangentMatrix::iNtegrate ( EntData &  , EntData &    )

inlinevirtual

Integrate grad-grad operator.

Parameters

row_data	row data (consist base functions on row entity)
col_data	column data (consist base functions on column entity)

Returns

error code

Reimplemented from MoFEM::OpBaseImpl< A, EleOp >.

Definition at line 48 of file minimal_surface_equation.cpp.

                                                                 {
    MoFEMFunctionBegin;
 
    auto &locLhs = AssemblyDomainEleOp::locMat;
 
    // get element area
    const double area = getMeasure();
 
    // get number of integration points
    const int nb_integration_points = getGaussPts().size2();
    // get integration weights
    auto t_w = getFTensor0IntegrationWeight();
    // get gradient of the field at integration points
    auto t_field_grad = getFTensor1FromMat<2>(*fieldGradMat);
 
    // get derivatives of base functions on row
    auto t_row_diff_base = row_data.getFTensor1DiffN<2>();
 
    // START THE LOOP OVER INTEGRATION POINTS TO CALCULATE LOCAL MATRIX
    for (int gg = 0; gg != nb_integration_points; gg++) {
 
      const double a = t_w * area;
      const double an = 1. / std::sqrt(1 + t_field_grad(i) * t_field_grad(i));
 
      for (int rr = 0; rr != AssemblyDomainEleOp::nbRows; ++rr) {
        // get derivatives of base functions on column
        auto t_col_diff_base = col_data.getFTensor1DiffN<2>(gg, 0);
 
        for (int cc = 0; cc != AssemblyDomainEleOp::nbRows; cc++) {
 
          // calculate components of the local matrix
          locLhs(rr, cc) += (t_row_diff_base(i) * t_col_diff_base(i)) * an * a -
                            t_row_diff_base(i) *
                                (t_field_grad(i) * t_col_diff_base(i)) *
                                t_field_grad(i) * an * an * an * a;
 
          // move to the derivatives of the next base functions on column
          ++t_col_diff_base;
        }
 
        // move to the derivatives of the next base functions on row
        ++t_row_diff_base;
      }
 
      // move to the weight of the next integration point
      ++t_w;
      // move to the gradient of the field at the next integration point
      ++t_field_grad;
    }
 
    MoFEMFunctionReturn(0);
  }

Member Data Documentation

fieldGradMat

boost::shared_ptr<MatrixDouble> OpDomainTangentMatrix::fieldGradMat

private

Definition at line 102 of file minimal_surface_equation.cpp.

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

• tutorials/scl-5_minimal_surface_equation/minimal_surface_equation.cpp