#include <linearForm.hh>
Public Member Functions | |
| Neumann (const concepts::BoundaryConditions *bc) | |
| virtual void | operator() (const concepts::Element< Real > &elm, concepts::ElementMatrix< Real > &em) const |
| virtual void | operator() (const Quad< Real > &elm, concepts::ElementMatrix< Real > &em) const |
| virtual void | operator() (const Element< G > &elm, ElementMatrix< F > &em) const =0 |
Protected Member Functions | |
| virtual std::ostream & | info (std::ostream &os) const |
| Returns information in an output stream. | |
Protected Attributes | |
| std::unique_ptr< BoundaryConditions > | bc_ |
| Reference to the boundary conditions. | |
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_568.png)
where
![\[\vec{t} = \vec{n}^\bot = {-n_y \choose n_x} \]](form_563.png)
is the tangential vector,
![\[\vec{n}\]](form_564.png)
the outer normal vector, and
![\[g\]](form_565.png)
the tangential component of the Neumann boundary.
Currently only on quadrilaterals.
Definition at line 55 of file linearForm.hh.
| hp2Dedge::Neumann::Neumann | ( | const concepts::BoundaryConditions * | bc | ) |
Constructor.
| bc | Boundary conditions, defaults to homogeneous |
|
protectedvirtualinherited |
Returns information in an output stream.
Reimplemented from concepts::LinearForm< F, G >.
|
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.
| edge | The edge for which the load vector should be computed. |
| em | The load vector |
|
pure virtualinherited |
Computes the element contribution to the function.
| elm | Element on which the computations should be performed |
| em | The local matrix |
Implemented in vectorial::LinearForm< F, G >.
|
protectedinherited |
Reference to the boundary conditions.
Definition at line 100 of file linearForm.hh.