v0.13.2
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Public Member Functions | Private Attributes | List of all members
OpDomainTangentMatrix Struct Reference

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

Inheritance diagram for OpDomainTangentMatrix:
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Collaboration diagram for OpDomainTangentMatrix:
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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
 
- 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< RangeentsPtr
 Entities on which element is run. More...
 
- 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 iNtegrate (EntData &row_data, EntData &col_data)
 Integrate grad-grad operator. More...
 
virtual MoFEMErrorCode aSsemble (EntData &row_data, EntData &col_data, const bool trans)=0
 
virtual MoFEMErrorCode iNtegrate (EntData &data)
 Class dedicated to integrate operator. More...
 
virtual MoFEMErrorCode aSsemble (EntData &data)=0
 
- 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.

44 : AssemblyDomainEleOp(row_field_name, col_field_name,
46 fieldGradMat(field_grad_mat) {}
FormsIntegrators< DomainEleOp >::Assembly< PETSC >::OpBase AssemblyDomainEleOp
@ OPROWCOL
operator doWork is executed on FE rows &columns
boost::shared_ptr< MatrixDouble > fieldGradMat

Member Function Documentation

◆ iNtegrate()

MoFEMErrorCode OpDomainTangentMatrix::iNtegrate ( EntData row_data,
EntData col_data 
)
inlinevirtual

Integrate grad-grad operator.

Parameters
row_datarow data (consist base functions on row entity)
col_datacolumn 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.

48 {
50
51 auto &locLhs = AssemblyDomainEleOp::locMat;
52
53 // get element area
54 const double area = getMeasure();
55
56 // get number of integration points
57 const int nb_integration_points = getGaussPts().size2();
58 // get integration weights
59 auto t_w = getFTensor0IntegrationWeight();
60 // get gradient of the field at integration points
61 auto t_field_grad = getFTensor1FromMat<2>(*fieldGradMat);
62
63 // get derivatives of base functions on row
64 auto t_row_diff_base = row_data.getFTensor1DiffN<2>();
65
66 // START THE LOOP OVER INTEGRATION POINTS TO CALCULATE LOCAL MATRIX
67 for (int gg = 0; gg != nb_integration_points; gg++) {
68
69 const double a = t_w * area;
70 const double an = 1. / std::sqrt(1 + t_field_grad(i) * t_field_grad(i));
71
72 for (int rr = 0; rr != AssemblyDomainEleOp::nbRows; ++rr) {
73 // get derivatives of base functions on column
74 auto t_col_diff_base = col_data.getFTensor1DiffN<2>(gg, 0);
75
76 for (int cc = 0; cc != AssemblyDomainEleOp::nbRows; cc++) {
77
78 // calculate components of the local matrix
79 locLhs(rr, cc) += (t_row_diff_base(i) * t_col_diff_base(i)) * an * a -
80 t_row_diff_base(i) *
81 (t_field_grad(i) * t_col_diff_base(i)) *
82 t_field_grad(i) * an * an * an * a;
83
84 // move to the derivatives of the next base functions on column
85 ++t_col_diff_base;
86 }
87
88 // move to the derivatives of the next base functions on row
89 ++t_row_diff_base;
90 }
91
92 // move to the weight of the next integration point
93 ++t_w;
94 // move to the gradient of the field at the next integration point
95 ++t_field_grad;
96 }
97
99 }
constexpr double a
#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
FTensor::Index< 'i', 2 > i
FTensor::Tensor1< FTensor::PackPtr< double *, Tensor_Dim >, Tensor_Dim > getFTensor1DiffN(const FieldApproximationBase base)
Get derivatives of base functions.
int nbRows
number of dofs on rows
MatrixDouble locMat
local entity block matrix

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: