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. More...

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)

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. More...

MoFEMErrorCode	doWork (int row_side, EntityType row_type, EntData &row_data)
	Do calculations for the right hand side. More...

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 More...

FEFun	feScalingFun
	assumes that time variable is set More...

boost::shared_ptr< Range >	entsPtr
	Entities on which element is run. More...

Static Public Attributes inherited from MoFEM::OpBaseImpl< A, EleOp >
static MatSetValuesHook	matSetValuesHook

Protected Member Functions inherited from MoFEM::OpBaseImpl< A, EleOp >
template<int DIM>
FTensor::Tensor1< FTensor::PackPtr< double *, DIM >, DIM >	getNf ()

template<int DIM>
FTensor::Tensor2< FTensor::PackPtr< double *, DIM >, DIM, DIM >	getLocMat (const int rr)

virtual MoFEMErrorCode	aSsemble (EntData &row_data, EntData &col_data, const bool trans)

virtual MoFEMErrorCode	iNtegrate (EntData &data)
	Class dedicated to integrate operator. More...

virtual MoFEMErrorCode	aSsemble (EntData &data)

virtual size_t	getNbOfBaseFunctions (EntitiesFieldData::EntData &data)
	Get number of base functions. More...

Protected Attributes inherited from MoFEM::OpBaseImpl< A, EleOp >
int	nbRows
	number of dofs on rows More...

int	nbCols
	number if dof on column More...

int	nbIntegrationPts
	number of integration points More...

int	nbRowBaseFunctions
	number or row base functions More...

int	rowSide
	row side number More...

int	colSide
	column side number More...

EntityType	rowType
	row type More...

EntityType	colType
	column type More...

bool	assembleTranspose

bool	onlyTranspose

MatrixDouble	locMat
	local entity block matrix More...

MatrixDouble	locMatTranspose
	local entity block matrix More...

VectorDouble	locF
	local entity vector More...

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 &	row_data,
		EntData &	col_data
	)

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.

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

users_modules/tutorials/scl-5/minimal_surface_equation.cpp

Public Member Functions

Private Attributes