hp2Dedge::Neumann Class Referenceabstract
Linear form in 2D for the term of Neumann boundary. More...
#include <linearForm.hh>
Public Member Functions | |
| Neumann (const concepts::BoundaryConditions *bc) | |
| Constructor. More... | |
| virtual void | operator() (const concepts::Element< Real > &elm, concepts::ElementMatrix< Real > &em) const |
| Computes the element load vector. More... | |
| virtual void | operator() (const Element< typename Realtype< Real >::type > &elm, ElementMatrix< Real > &em) const=0 |
| Computes the element contribution to the function. More... | |
| virtual void | operator() (const Quad< Real > &elm, concepts::ElementMatrix< Real > &em) const |
Protected Member Functions | |
| virtual std::ostream & | info (std::ostream &os) const |
Protected Attributes | |
| std::unique_ptr< BoundaryConditions > | bc_ |
| Reference to the boundary conditions. More... | |
Private Member Functions | |
| virtual void | part (const Edge< Real > &edge, const concepts::Boundary bd, concepts::ElementMatrix< Real > &em) const |
| Computes the distribution to an edge. More... | |
Detailed Description
Linear form in 2D for the term of Neumann boundary.
This linear form computes
![\[\int_{\partial K \cap \Gamma_N} g \vec{t} \cdot \vec v \, ds. \]](form_564.png)
where
![\[\vec{t} = \vec{n}^\bot = {-n_y \choose n_x} \]](form_559.png)
is the tangential vector,
![\[\vec{n}\]](form_560.png)
the outer normal vector, and
![\[g\]](form_561.png)
the tangential component of the Neumann boundary.
Currently only on quadrilaterals.
Definition at line 55 of file linearForm.hh.
Constructor & Destructor Documentation
◆ Neumann()
| hp2Dedge::Neumann::Neumann | ( | const concepts::BoundaryConditions * | bc | ) |
Constructor.
- Parameters
-
bc Boundary conditions, defaults to homogeneous
Member Function Documentation
◆ info()
|
protectedvirtualinherited |
Reimplemented from concepts::LinearForm< Real >.
◆ operator()() [1/3]
|
virtual |
Computes the element load vector.
As for the computation of an element stiffness matrix, there are the loops over all quadrature points and the loops over all shape functions.
- Parameters
-
edge The edge for which the load vector should be computed. em The load vector
◆ operator()() [2/3]
|
pure virtualinherited |
Computes the element contribution to the function.
- Parameters
-
elm Element on which the computations should be performed em The local matrix
◆ operator()() [3/3]
|
virtual |
◆ part()
|
privatevirtual |
Computes the distribution to an edge.
Member Data Documentation
◆ bc_
|
protectedinherited |
Reference to the boundary conditions.
Definition at line 100 of file linearForm.hh.
The documentation for this class was generated from the following file:
- hp2Dedge/linearForm.hh