7.3. Finite Elements¶

7.3.1. Base Classes¶

`daeFiniteElementModel`
`daeFiniteElementEquation`
`daeFiniteElementVariableInfo`
`daeFiniteElementObjectInfo`
`daeFiniteElementObject_t`

class daeFiniteElementModel¶

__init__((object)self, (str)name, (daeModel)parentModel, (str)description, (daeFiniteElementObject_t)feObject) → None :¶: Constructor…

class daeFiniteElementModel¶

DeclareEquations((daeFiniteElementModel)self) → None :¶: User-defined function where all model equations ans state transition networks are declared. Must be always implemented in derived classes.

UpdateEquations((daeFiniteElementModel)self) → None¶

class daeFiniteElementEquation¶

class daeFiniteElementVariableInfo¶

property Multiplicity¶

property VariableDescription¶

property VariableName¶

property m_nNumberOfDOFs¶

class daeFiniteElementObjectInfo¶

property NumberOfDOFsPerVariable¶

property TotalNumberDOFs¶

property VariableInfos¶

class daeFiniteElementObject_t¶

AssembleSystem((daeFiniteElementObject_t)self) → None¶: AssembleSystem( (daeFiniteElementObject_t)arg1) -> None

Asystem((daeFiniteElementObject_t)self) → daeMatrix_adouble¶: Asystem( (daeFiniteElementObject_t)arg1) -> None

Fload((daeFiniteElementObject_t)self) → daeArray_adouble¶: Fload( (daeFiniteElementObject_t)arg1) -> None

GetObjectInfo((daeFiniteElementObject_t)self) → daeFiniteElementObjectInfo¶: GetObjectInfo( (daeFiniteElementObject_t)arg1) -> None

Msystem((daeFiniteElementObject_t)self) → daeMatrix_adouble¶: Msystem( (daeFiniteElementObject_t)arg1) -> None

NeedsReAssembling((daeFiniteElementObject_t)self) → bool¶: NeedsReAssembling( (daeFiniteElementObject_t)arg1) -> None

ReAssembleSystem((daeFiniteElementObject_t)self) → None¶: ReAssembleSystem( (daeFiniteElementObject_t)arg1) -> None

RowIndices((daeFiniteElementObject_t)arg1, (int)self, (object)row) → None¶: RowIndices( (daeFiniteElementObject_t)arg1, (int)arg2, (object)arg3) -> None

7.3.2. deal.II Main FE Classes¶

These classes are instantiated by the users and used to specify:

Information about Degrees of Freedom (DOFs) including the Finite Element space for each DOF (dealiiFiniteElementDOF_nD class)
Weak form expressions for cells and faces (including boundaries) (dealiiFiniteElementWeakForm_nD class)
Information about the mesh, quadrature rules, DOFs and weak forms (dealiiFiniteElementSystem_1D class)
Data reporter that stores the results in .vtk format in the specified directory (dealIIDataReporter class)

Since it is not possible to use deal.II template classes in Python, separate classes are provided for three spatial dimensions.

`dealiiFiniteElementDOF_1D`
`dealiiFiniteElementDOF_2D`
`dealiiFiniteElementDOF_3D`
`dealiiFiniteElementWeakForm_1D`
`dealiiFiniteElementWeakForm_2D`
`dealiiFiniteElementWeakForm_3D`
`dealiiFiniteElementSystem_1D`
`dealiiFiniteElementSystem_2D`
`dealiiFiniteElementSystem_3D`
`dealIIDataReporter`

class dealiiFiniteElementDOF_1D¶

__init__((object)arg1, (str)name, (str)description, (FiniteElement_1D)fe, (int)multiplicity[, (daeVariableType)variableType=daeVariableType(name="no_t", units=, lowerBound=-1e+20, upperBound=1e+20, initialGuess=0, absoluteTolerance=1e-05, valueConstraint=0)]) → None¶

property Description¶

property Multiplicity¶

property Name¶

class dealiiFiniteElementDOF_2D¶

__init__((object)arg1, (str)name, (str)description, (FiniteElement_2D)fe, (int)multiplicity[, (daeVariableType)variableType=daeVariableType(name="no_t", units=, lowerBound=-1e+20, upperBound=1e+20, initialGuess=0, absoluteTolerance=1e-05, valueConstraint=0)]) → None¶

property Description¶

property Multiplicity¶

property Name¶

class dealiiFiniteElementDOF_3D¶

__init__((object)arg1, (str)name, (str)description, (FiniteElement_3D)fe, (int)multiplicity[, (daeVariableType)variableType=daeVariableType(name="no_t", units=, lowerBound=-1e+20, upperBound=1e+20, initialGuess=0, absoluteTolerance=1e-05, valueConstraint=0)]) → None¶

property Description¶

property Multiplicity¶

property Name¶

class dealiiFiniteElementWeakForm_1D¶

__init__((object)self, (object)Aij, (object)Mij, (object)Fi[, (feExpression_1D)innerCellFaceAij=<pyDealII.feExpression_1D object at 0x7fee6b113220>[, (feExpression_1D)innerCellFaceFi=<pyDealII.feExpression_1D object at 0x7fee6b113290>[, (dict)boundaryFaceAij={}[, (dict)boundaryFaceFi={}[, (dict)functionsDirichletBC={}[, (dict)surfaceIntegrals={}[, (list)volumeIntegrals=[]]]]]]]]) → None¶

property Aij¶

property Fi¶

property Mij¶

property boundaryFaceAij¶

property boundaryFaceFi¶

property functionsDirichletBC¶

property innerCellFaceAij¶

property innerCellFaceFi¶

property surfaceIntegrals¶

property volumeIntegrals¶

class dealiiFiniteElementWeakForm_2D¶

__init__((object)self, (object)Aij, (object)Mij, (object)Fi[, (feExpression_2D)innerCellFaceAij=<pyDealII.feExpression_2D object at 0x7fee6b113300>[, (feExpression_2D)innerCellFaceFi=<pyDealII.feExpression_2D object at 0x7fee6b113370>[, (dict)boundaryFaceAij={}[, (dict)boundaryFaceFi={}[, (dict)functionsDirichletBC={}[, (dict)surfaceIntegrals={}[, (list)volumeIntegrals=[]]]]]]]]) → None¶

property Aij¶

property Fi¶

property Mij¶

property boundaryFaceAij¶

property boundaryFaceFi¶

property functionsDirichletBC¶

property innerCellFaceAij¶

property innerCellFaceFi¶

property surfaceIntegrals¶

property volumeIntegrals¶

class dealiiFiniteElementWeakForm_3D¶

__init__((object)self, (object)Aij, (object)Mij, (object)Fi[, (feExpression_3D)innerCellFaceAij=<pyDealII.feExpression_3D object at 0x7fee6b1133e0>[, (feExpression_3D)innerCellFaceFi=<pyDealII.feExpression_3D object at 0x7fee6b113450>[, (dict)boundaryFaceAij={}[, (dict)boundaryFaceFi={}[, (dict)functionsDirichletBC={}[, (dict)surfaceIntegrals={}[, (list)volumeIntegrals=[]]]]]]]]) → None¶

property Aij¶

property Fi¶

property FunctionsDirichletBC¶

property Mij¶

property boundaryFaceAij¶

property boundaryFaceFi¶

property innerCellFaceAij¶

property innerCellFaceFi¶

property surfaceIntegrals¶

property volumeIntegrals¶

class dealiiFiniteElementSystem_1D¶

__init__((object)arg1, (str)meshFilename, (Quadrature_1D)quadrature, (Quadrature_0D)faceQuadrature, (list)dofs) → None¶

class dealiiFiniteElementSystem_2D¶

__init__((object)arg1, (str)meshFilename, (Quadrature_2D)quadrature, (Quadrature_1D)faceQuadrature, (list)dofs) → None¶

class dealiiFiniteElementSystem_3D¶

__init__((object)arg1, (str)meshFilename, (Quadrature_3D)quadrature, (Quadrature_2D)faceQuadrature, (list)dofs) → None¶

class dealIIDataReporter¶

7.3.3. deal.II Finite Elements¶

`FiniteElement_1D`
`FiniteElement_2D`
`FiniteElement_3D`
`FE_Q_1D`
`FE_Q_2D`
`FE_Q_3D`
`FE_Bernstein_1D`
`FE_Bernstein_2D`
`FE_Bernstein_3D`
`FE_RaviartThomas_1D`
`FE_RaviartThomas_2D`
`FE_RaviartThomas_3D`
`FE_DGRaviartThomas_1D`
`FE_DGRaviartThomas_2D`
`FE_DGRaviartThomas_3D`
`FE_Nedelec_1D`
`FE_Nedelec_2D`
`FE_Nedelec_3D`
`FE_DGNedelec_1D`
`FE_DGNedelec_2D`
`FE_DGNedelec_3D`
`FE_BDM_1D`
`FE_BDM_2D`
`FE_BDM_3D`
`FE_DGBDM_1D`
`FE_DGBDM_2D`
`FE_DGBDM_3D`
`FE_ABF_1D`
`FE_ABF_2D`
`FE_ABF_3D`
`FE_DGQ_1D`
`FE_DGQ_2D`
`FE_DGQ_3D`
`FE_DGP_1D`
`FE_DGP_2D`
`FE_DGP_3D`

class FiniteElement_1D¶

class FiniteElement_2D¶

class FiniteElement_3D¶

class FE_Q_1D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_Q_2D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_Q_3D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_Bernstein_1D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_Bernstein_2D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_Bernstein_3D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_RaviartThomas_1D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_RaviartThomas_2D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_RaviartThomas_3D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_DGRaviartThomas_1D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_DGRaviartThomas_2D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_DGRaviartThomas_3D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_Nedelec_1D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_Nedelec_2D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_Nedelec_3D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_DGNedelec_1D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_DGNedelec_2D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_DGNedelec_3D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_BDM_1D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_BDM_2D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_BDM_3D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_DGBDM_1D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_DGBDM_2D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_DGBDM_3D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_ABF_1D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_ABF_2D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_ABF_3D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_DGQ_1D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_DGQ_2D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_DGQ_3D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_DGP_1D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_DGP_2D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

class FE_DGP_3D¶

__init__((object)arg1, (int)polynomialOrder) → None¶

7.3.4. deal.II Quadrature Rules¶

`Quadrature_0D`
`Quadrature_1D`
`Quadrature_2D`
`Quadrature_3D`
`QGauss_0D`
`QGauss_1D`
`QGauss_2D`
`QGauss_3D`
`QGaussLobatto_0D`
`QGaussLobatto_1D`
`QGaussLobatto_2D`
`QGaussLobatto_3D`
`QMidpoint_1D`
`QMidpoint_2D`
`QMidpoint_3D`
`QSimpson_1D`
`QSimpson_2D`
`QSimpson_3D`
`QTrapez_1D`
`QTrapez_2D`
`QTrapez_3D`
`QMilne_1D`
`QMilne_2D`
`QMilne_3D`
`QWeddle_1D`
`QWeddle_2D`
`QWeddle_3D`
`QGaussLog_1D`
`QGaussLogR_1D`
`QGaussOneOverR_2D`
`QGaussChebyshev_1D`
`QGaussChebyshev_2D`
`QGaussChebyshev_3D`
`QGaussLobattoChebyshev_1D`
`QGaussLobattoChebyshev_2D`
`QGaussLobattoChebyshev_3D`

class Quadrature_0D¶

class Quadrature_1D¶

class Quadrature_2D¶

class Quadrature_3D¶

class QGauss_0D¶

__init__((object)self, (int)n_quadrature_points) → None¶

class QGauss_1D¶

__init__((object)self, (int)n_quadrature_points) → None¶

class QGauss_2D¶

__init__((object)self, (int)n_quadrature_points) → None¶

class QGauss_3D¶

__init__((object)self, (int)n_quadrature_points) → None¶

class QGaussLobatto_0D¶

__init__((object)self, (int)n_quadrature_points) → None¶

class QGaussLobatto_1D¶

__init__((object)self, (int)n_quadrature_points) → None¶

class QGaussLobatto_2D¶

__init__((object)self, (int)n_quadrature_points) → None¶

class QGaussLobatto_3D¶

__init__((object)self, (int)n_quadrature_points) → None¶

class QMidpoint_1D¶

__init__((object)self) → None¶

class QMidpoint_2D¶

__init__((object)self) → None¶

class QMidpoint_3D¶

__init__((object)self) → None¶

class QSimpson_1D¶

__init__((object)self) → None¶

class QSimpson_2D¶

__init__((object)self) → None¶

class QSimpson_3D¶

__init__((object)self) → None¶

class QTrapez_1D¶

__init__((object)self) → None¶

class QTrapez_2D¶

__init__((object)self) → None¶

class QTrapez_3D¶

__init__((object)self) → None¶

class QMilne_1D¶

__init__((object)self) → None¶

class QMilne_2D¶

__init__((object)self) → None¶

class QMilne_3D¶

__init__((object)self) → None¶

class QWeddle_1D¶

__init__((object)self) → None¶

class QWeddle_2D¶

__init__((object)self) → None¶

class QWeddle_3D¶

__init__((object)self) → None¶

class QGaussLog_1D¶

__init__((object)self, (int)n_quadrature_points[, (bool)revert=False]) → None¶

class QGaussLogR_1D¶

__init__((object)self, (int)n_quadrature_points[, (Point_1D)x0=Point<2, double>(x=0, y=0)[, (float)alpha=1.0[, (bool)factor_out_singular_weight=False]]]) → None¶

class QGaussOneOverR_2D¶

__init__((object)self, (int)n_quadrature_points, (Point_2D)singularity[, (bool)factor_out_singular_weight=False]) → None¶

class QGaussChebyshev_1D¶

__init__((object)self, (int)n_quadrature_points) → None¶

class QGaussChebyshev_2D¶

__init__((object)self, (int)n_quadrature_points) → None¶

class QGaussChebyshev_3D¶

__init__((object)self, (int)n_quadrature_points) → None¶

class QGaussLobattoChebyshev_1D¶

__init__((object)self, (int)n_quadrature_points) → None¶

class QGaussLobattoChebyshev_2D¶

__init__((object)self, (int)n_quadrature_points) → None¶

class QGaussLobattoChebyshev_3D¶

__init__((object)self, (int)n_quadrature_points) → None¶

7.3.5. Functions for Specification of Weak Forms¶

`feExpression_1D`
`feExpression_2D`
`feExpression_3D`
`constant_1D`
`constant_2D`
`constant_3D`
`phi_1D`
`phi_2D`
`phi_3D`
`dphi_1D`
`dphi_2D`
`dphi_3D`
`d2phi_1D`
`d2phi_2D`
`d2phi_3D`
`JxW_1D`
`JxW_2D`
`JxW_3D`
`xyz_1D`
`xyz_2D`
`xyz_3D`
`normal_1D`
`normal_2D`
`normal_3D`
`function_value_1D`
`function_value_2D`
`function_value_3D`
`function_gradient_1D`
`function_gradient_2D`
`function_gradient_3D`
`function_adouble_value_1D`
`function_adouble_value_1D`
`function_adouble_value_1D`
`function_adouble_gradient_1D`
`function_adouble_gradient_1D`
`function_adouble_gradient_1D`
`tensor1_function_value_1D`
`tensor1_function_value_1D`
`tensor1_function_value_1D`
`tensor2_function_value_1D`
`tensor2_function_value_1D`
`tensor2_function_value_1D`
`tensor1_function_gradient_1D`
`tensor1_function_gradient_1D`
`tensor1_function_gradient_1D`
`tensor2_function_gradient_1D`
`tensor2_function_gradient_1D`
`tensor2_function_gradient_1D`
`phi_vector_1D`
`phi_vector_2D`
`phi_vector_3D`
`dphi_vector_1D`
`dphi_vector_2D`
`dphi_vector_3D`
`d2phi_vector_1D`
`d2phi_vector_2D`
`d2phi_vector_3D`
`div_phi_1D`
`div_phi_2D`
`div_phi_3D`
`dof_1D`
`dof_2D`
`dof_3D`
`dof_approximation_1D`
`dof_approximation_2D`
`dof_approximation_3D`
`dof_gradient_approximation_1D`
`dof_gradient_approximation_2D`
`dof_gradient_approximation_3D`
`dof_hessian_approximation_1D`
`dof_hessian_approximation_2D`
`dof_hessian_approximation_3D`
`vector_dof_approximation_1D`
`vector_dof_approximation_2D`
`vector_dof_approximation_3D`
`vector_dof_gradient_approximation_1D`
`vector_dof_gradient_approximation_2D`
`vector_dof_gradient_approximation_3D`
`adouble_1D`
`adouble_2D`
`adouble_3D`
`tensor1_1D`
`tensor1_2D`
`tensor1_3D`
`tensor2_1D`
`tensor2_2D`
`tensor2_3D`
`tensor3_1D`
`tensor3_2D`
`tensor3_3D`
`adouble_tensor1_1D`
`adouble_tensor1_2D`
`adouble_tensor1_3D`
`adouble_tensor2_1D`
`adouble_tensor2_2D`
`adouble_tensor2_3D`
`adouble_tensor3_1D`
`adouble_tensor3_2D`
`adouble_tensor3_3D`

class feExpression_1D¶

class feExpression_2D¶

class feExpression_3D¶

constant_1D((float)value) → feExpression_1D¶

constant_2D((float)value) → feExpression_2D¶

constant_3D((float)value) → feExpression_3D¶

phi_1D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_1D¶

phi_2D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_2D¶

phi_3D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_3D¶

dphi_1D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_1D¶

dphi_2D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_2D¶

dphi_3D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_3D¶

d2phi_1D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_1D¶

d2phi_2D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_2D¶

d2phi_3D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_3D¶

JxW_1D((int)quadraturePoint) → feExpression_1D¶

JxW_2D((int)quadraturePoint) → feExpression_2D¶

JxW_3D((int)quadraturePoint) → feExpression_3D¶

xyz_1D((int)quadraturePoint) → feExpression_1D¶

xyz_2D((int)quadraturePoint) → feExpression_2D¶

xyz_3D((int)quadraturePoint) → feExpression_3D¶

normal_1D((int)quadraturePoint) → feExpression_1D¶

normal_2D((int)quadraturePoint) → feExpression_2D¶

normal_3D((int)quadraturePoint) → feExpression_3D¶

function_value_1D((str)functionName, (Function_1D)fun, (feExpression_1D)point[, (int)component=0]) → feExpression_1D¶

function_value_2D((str)functionName, (Function_2D)fun, (feExpression_2D)point[, (int)component=0]) → feExpression_2D¶

function_value_3D((str)functionName, (Function_3D)fun, (feExpression_3D)point[, (int)component=0]) → feExpression_3D¶

function_gradient_1D((str)functionName, (Function_1D)fun, (feExpression_1D)point[, (int)component=0]) → feExpression_1D¶

function_gradient_2D((str)functionName, (Function_2D)fun, (feExpression_2D)point[, (int)component=0]) → feExpression_2D¶

function_gradient_3D((str)functionName, (Function_3D)fun, (feExpression_3D)point[, (int)component=0]) → feExpression_3D¶

function_adouble_value_1D((str)functionName, (adoubleFunction_1D)fun, (feExpression_1D)point[, (int)component=0]) → feExpression_1D¶

function_adouble_value_1D((str)functionName, (adoubleFunction_1D)fun, (feExpression_1D)point[, (int)component=0]) → feExpression_1D¶

function_adouble_value_1D((str)functionName, (adoubleFunction_1D)fun, (feExpression_1D)point[, (int)component=0]) → feExpression_1D¶

function_adouble_gradient_1D((str)functionName, (adoubleFunction_1D)fun, (feExpression_1D)point[, (int)component=0]) → feExpression_1D¶

function_adouble_gradient_1D((str)functionName, (adoubleFunction_1D)fun, (feExpression_1D)point[, (int)component=0]) → feExpression_1D¶

function_adouble_gradient_1D((str)functionName, (adoubleFunction_1D)fun, (feExpression_1D)point[, (int)component=0]) → feExpression_1D¶

tensor1_function_value_1D((str)functionName, (TensorFunction_1_1D)tensorFunction, (feExpression_1D)point) → feExpression_1D¶

tensor1_function_value_1D((str)functionName, (TensorFunction_1_1D)tensorFunction, (feExpression_1D)point) → feExpression_1D¶

tensor1_function_value_1D((str)functionName, (TensorFunction_1_1D)tensorFunction, (feExpression_1D)point) → feExpression_1D¶

tensor2_function_value_1D((str)functionName, (TensorFunction_2_1D)tensorFunction, (feExpression_1D)point) → feExpression_1D¶

tensor2_function_value_1D((str)functionName, (TensorFunction_2_1D)tensorFunction, (feExpression_1D)point) → feExpression_1D¶

tensor2_function_value_1D((str)functionName, (TensorFunction_2_1D)tensorFunction, (feExpression_1D)point) → feExpression_1D¶

tensor1_function_gradient_1D((str)functionName, (TensorFunction_1_1D)tensorFunction, (feExpression_1D)point) → feExpression_1D¶

tensor1_function_gradient_1D((str)functionName, (TensorFunction_1_1D)tensorFunction, (feExpression_1D)point) → feExpression_1D¶

tensor1_function_gradient_1D((str)functionName, (TensorFunction_1_1D)tensorFunction, (feExpression_1D)point) → feExpression_1D¶

tensor2_function_gradient_1D((str)functionName, (TensorFunction_2_1D)tensorFunction, (feExpression_1D)point) → feExpression_1D¶

tensor2_function_gradient_1D((str)functionName, (TensorFunction_2_1D)tensorFunction, (feExpression_1D)point) → feExpression_1D¶

tensor2_function_gradient_1D((str)functionName, (TensorFunction_2_1D)tensorFunction, (feExpression_1D)point) → feExpression_1D¶

phi_vector_1D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_1D¶

phi_vector_2D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_2D¶

phi_vector_3D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_3D¶

dphi_vector_1D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_1D¶

dphi_vector_2D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_2D¶

dphi_vector_3D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_3D¶

d2phi_vector_1D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_1D¶

d2phi_vector_2D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_2D¶

d2phi_vector_3D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_3D¶

div_phi_1D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_1D¶

div_phi_2D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_2D¶

div_phi_3D((str)variableName, (int)shapeFunction, (int)quadraturePoint) → feExpression_3D¶

dof_1D((str)variableName, (int)shapeFunction) → feExpression_1D¶

dof_2D((str)variableName, (int)shapeFunction) → feExpression_2D¶

dof_3D((str)variableName, (int)shapeFunction) → feExpression_3D¶

dof_approximation_1D((str)variableName, (int)quadraturePoint) → feExpression_1D¶

dof_approximation_2D((str)variableName, (int)quadraturePoint) → feExpression_2D¶

dof_approximation_3D((str)variableName, (int)quadraturePoint) → feExpression_3D¶

dof_gradient_approximation_1D((str)variableName, (int)quadraturePoint) → feExpression_1D¶

dof_gradient_approximation_2D((str)variableName, (int)quadraturePoint) → feExpression_2D¶

dof_gradient_approximation_3D((str)variableName, (int)quadraturePoint) → feExpression_3D¶

dof_hessian_approximation_1D((str)variableName, (int)quadraturePoint) → feExpression_1D¶

dof_hessian_approximation_2D((str)variableName, (int)quadraturePoint) → feExpression_2D¶

dof_hessian_approximation_3D((str)variableName, (int)quadraturePoint) → feExpression_3D¶

vector_dof_approximation_1D((str)variableName, (int)quadraturePoint) → feExpression_1D¶

vector_dof_approximation_2D((str)variableName, (int)quadraturePoint) → feExpression_2D¶

vector_dof_approximation_3D((str)variableName, (int)quadraturePoint) → feExpression_3D¶

vector_dof_gradient_approximation_1D((str)variableName, (int)quadraturePoint) → feExpression_1D¶

vector_dof_gradient_approximation_2D((str)variableName, (int)quadraturePoint) → feExpression_2D¶

vector_dof_gradient_approximation_3D((str)variableName, (int)quadraturePoint) → feExpression_3D¶

adouble_1D((adouble)ad) → feExpression_1D¶

adouble_2D((adouble)ad) → feExpression_2D¶

adouble_3D((adouble)ad) → feExpression_3D¶

tensor1_1D((Tensor_1_1D)tensor) → feExpression_1D¶

tensor1_2D((Tensor_1_2D)tensor) → feExpression_2D¶

tensor1_3D((Tensor_1_3D)tensor) → feExpression_3D¶

tensor2_1D((Tensor_2_1D)tensor) → feExpression_1D¶

tensor2_2D((Tensor_2_2D)tensor) → feExpression_2D¶

tensor2_3D((Tensor_2_3D)tensor) → feExpression_3D¶

tensor3_1D((object)tensor) → feExpression_1D¶

tensor3_2D((object)tensor) → feExpression_2D¶

tensor3_3D((object)tensor) → feExpression_3D¶

adouble_tensor1_1D((adoubleTensor_1_1D)tensor) → feExpression_1D¶

adouble_tensor1_2D((adoubleTensor_1_2D)tensor) → feExpression_2D¶

adouble_tensor1_3D((adoubleTensor_1_3D)tensor) → feExpression_3D¶

adouble_tensor2_1D((adoubleTensor_2_1D)tensor) → feExpression_1D¶

adouble_tensor2_2D((adoubleTensor_2_2D)tensor) → feExpression_2D¶

adouble_tensor2_3D((adoubleTensor_2_3D)tensor) → feExpression_3D¶

adouble_tensor3_1D((object)tensor) → feExpression_1D¶

adouble_tensor3_2D((object)tensor) → feExpression_2D¶

adouble_tensor3_3D((object)tensor) → feExpression_3D¶

7.3.6. deal.II Function<dim> classes¶

`Function_1D`
`Function_2D`
`Function_3D`
`adoubleFunction_1D`
`adoubleFunction_2D`
`adoubleFunction_3D`
`ConstantFunction_1D`
`ConstantFunction_2D`
`ConstantFunction_3D`
`adoubleConstantFunction_1D`
`adoubleConstantFunction_2D`
`adoubleConstantFunction_3D`
`TensorFunction_1_1D`
`TensorFunction_1_2D`
`TensorFunction_1_3D`
`TensorFunction_2_1D`
`TensorFunction_2_2D`
`TensorFunction_2_3D`
`adoubleTensorFunction_1_1D`
`adoubleTensorFunction_1_2D`
`adoubleTensorFunction_1_3D`
`adoubleTensorFunction_2_1D`
`adoubleTensorFunction_2_2D`
`adoubleTensorFunction_2_3D`

class Function_1D¶

class Function_2D¶

class Function_3D¶

class adoubleFunction_1D¶

class adoubleFunction_2D¶

class adoubleFunction_3D¶

class ConstantFunction_1D¶

class ConstantFunction_2D¶

class ConstantFunction_3D¶

class adoubleConstantFunction_1D¶

class adoubleConstantFunction_2D¶

class adoubleConstantFunction_3D¶

class TensorFunction_1_1D¶

class TensorFunction_1_2D¶

class TensorFunction_1_3D¶

class TensorFunction_2_1D¶

class TensorFunction_2_2D¶

class TensorFunction_2_3D¶

class adoubleTensorFunction_1_1D¶

class adoubleTensorFunction_1_2D¶

class adoubleTensorFunction_1_3D¶

class adoubleTensorFunction_2_1D¶

class adoubleTensorFunction_2_2D¶

class adoubleTensorFunction_2_3D¶

7.3.7. Enumerations and Constants¶

`fe_i`	int([x]) -> integer int(x, base=10) -> integer
`fe_j`	int([x]) -> integer int(x, base=10) -> integer
`fe_q`	int([x]) -> integer int(x, base=10) -> integer

pyDealII.fe_i¶

pyDealII.fe_j¶

pyDealII.fe_q¶

7.3.8. Auxiliary Classes¶

`Tensor_1_1D`
`Tensor_1_2D`
`Tensor_1_3D`
`Tensor_2_1D`
`Tensor_2_2D`
`Tensor_2_3D`
`adoubleTensor_1_1D`
`adoubleTensor_1_2D`
`adoubleTensor_1_3D`
`adoubleTensor_2_1D`
`adoubleTensor_2_2D`
`adoubleTensor_2_3D`
`Point_1D`
`Point_2D`
`Point_3D`
`Vector`
`FullMatrix`
`SparseMatrix`

class Tensor_1_1D¶

class Tensor_1_2D¶

class Tensor_1_3D¶

class Tensor_2_1D¶

class Tensor_2_2D¶

class Tensor_2_3D¶

class adoubleTensor_1_1D¶

class adoubleTensor_1_2D¶

class adoubleTensor_1_3D¶

class adoubleTensor_2_1D¶

class adoubleTensor_2_2D¶

class adoubleTensor_2_3D¶

class Point_1D¶

class Point_2D¶

class Point_3D¶

class Vector¶

class FullMatrix¶

class SparseMatrix¶