hp2D::LaplaceBase< F, G > Class Template Reference
Base class to calculate element matrices for the Laplacian, for both scalar and matrix formulas. More...
#include <bf_laplace.hh>
Public Types | |
| typedef concepts::Combtype< F, G >::type | value_type |
Public Member Functions | |
| concepts::RCP< concepts::SharedJacobianAdj< 2 > > | data () const |
| Gets the pointer to the shared data. More... | |
| void | data (const concepts::RCP< concepts::SharedJacobianAdj< 2 > > d) |
| Set the pointer to the shared data. More... | |
| LaplaceBase (const concepts::ElementFormulaContainer< concepts::Mapping< G, 2 > > frm, bool all=false) | |
| LaplaceBase (const concepts::ElementFormulaContainer< F > frm, bool all=false) | |
| Constructor. More... | |
Protected Member Functions | |
| bool | assemble_ (const Quad< Real > *elmX, const Quad< Real > *elmY, concepts::ElementMatrix< value_type > &em) const |
| void | computeIntermediate_ (const BaseQuad< Real > &elm, const int i=-1, const int j=-1) const |
| Compute the intermediate data for element matrix computation. More... | |
Protected Attributes | |
| bool | all_ |
| Parameter for the sum factorisation. More... | |
| concepts::ElementFormulaContainer< Real > | frm_ |
| Element formula. More... | |
| concepts::ElementFormulaContainer< concepts::Mapping< typename concepts::Realtype< Real >::type, 2 > > | frmM_ |
| Matrix element formula. More... | |
| concepts::Array< concepts::Mapping< typename concepts::Realtype< Real >::type, 2 > > | intermediateMatrix_ |
| Intermediate matrix. More... | |
| concepts::Array< Real > | intermediateValue_ |
| Intermediate value. More... | |
Private Member Functions | |
| void | computeadjJ_adjJT_rank1_ (concepts::Array< concepts::Mapping< Real, 2 > > &intermediateMatrix, const int i, const int j) const |
| Computes the either adj(J)*adj(J)^T or in the case of partial derivatives (i > NONE, j > NONE) the rank-1 product of j-th column of adj(J) with i-th row of adj(J)^T. More... | |
| void | computeJacobianMatrix_ (const BaseQuad< Real > &elm, concepts::Array< concepts::Mapping< Real, 2 > > &J, concepts::Array< Real > &detJ_inv) const |
| Compute the Jacobian matrix and the inverse of its determinant on each quadrature point. More... | |
Private Attributes | |
| concepts::RCP< concepts::SharedJacobianAdj< 2 > > | sharedData_ |
| Shared data for vectorial bilinear forms. More... | |
Detailed Description
template<class F = Real, class G = typename concepts::Realtype<F>::type>
class hp2D::LaplaceBase< F, G >
Base class to calculate element matrices for the Laplacian, for both scalar and matrix formulas.
Definition at line 62 of file bf_laplace.hh.
Member Typedef Documentation
◆ value_type
| typedef concepts::Combtype<F,G>::type hp2D::LaplaceBase< F, G >::value_type |
Definition at line 64 of file bf_laplace.hh.
Constructor & Destructor Documentation
◆ LaplaceBase() [1/2]
| hp2D::LaplaceBase< F, G >::LaplaceBase | ( | const concepts::ElementFormulaContainer< F > | frm, |
| bool | all = false |
||
| ) |
Constructor.
The formula frm is evaluated in each quadrature point.
◆ LaplaceBase() [2/2]
| hp2D::LaplaceBase< F, G >::LaplaceBase | ( | const concepts::ElementFormulaContainer< concepts::Mapping< G, 2 > > | frm, |
| bool | all = false |
||
| ) |
Member Function Documentation
◆ assemble_()
|
protected |
◆ computeadjJ_adjJT_rank1_()
|
privateinherited |
Computes the either adj(J)*adj(J)^T or in the case of partial derivatives (i > NONE, j > NONE) the rank-1 product of j-th column of adj(J) with i-th row of adj(J)^T.
◆ computeIntermediate_()
|
protectedinherited |
Compute the intermediate data for element matrix computation.
- Parameters
-
i if i=0 or 1, then take only i-th column of Jacobian matrix (for test function) j if j=0 or 1, then take only j-th column of Jacobian matrix (for trial function)
The Jacobian matrices have to been taken both full (i,j = -1) or both partial (i,j = 0 or 1).
Matrix formulas and complex valued scalar formulas are only implemented for full Jacobians.
◆ computeJacobianMatrix_()
|
privateinherited |
Compute the Jacobian matrix and the inverse of its determinant on each quadrature point.
◆ data() [1/2]
|
inherited |
Gets the pointer to the shared data.
◆ data() [2/2]
|
inherited |
Set the pointer to the shared data.
Member Data Documentation
◆ all_
|
protected |
Parameter for the sum factorisation.
Definition at line 75 of file bf_laplace.hh.
◆ frm_
|
protectedinherited |
Element formula.
Definition at line 193 of file bilinearFormHelper.hh.
◆ frmM_
|
protectedinherited |
Matrix element formula.
Definition at line 195 of file bilinearFormHelper.hh.
◆ intermediateMatrix_
|
mutableprotectedinherited |
Intermediate matrix.
In case of a scalar formula:
![\[\mbox{adj}(J) \mbox{adj}(J)^\top\]](form_515.png)
In case of a matrix formula 
:
![\[\mbox{adj}(J) M \mbox{adj}(J)^\top\]](form_516.png)
In case of partial Jacobian:
![\[\mbox{adj}(J)_{\cdot,j} (\mbox{adj}(J)_{\cdot,i})^\top\]](form_517.png)
Definition at line 191 of file bilinearFormHelper.hh.
◆ intermediateValue_
|
mutableprotectedinherited |
Intermediate value.
In case of a scalar formula:
![\[\frac{f(F_K(\xi))}{\det J}\]](form_513.png)
In case of a matrix formula:
![\[\frac{1}{\det J}\]](form_514.png)
Definition at line 179 of file bilinearFormHelper.hh.
◆ sharedData_
|
privateinherited |
Shared data for vectorial bilinear forms.
Definition at line 212 of file bilinearFormHelper.hh.
The documentation for this class was generated from the following file:
- hp2D/bf_laplace.hh