FrameTL::Poisson_Solution_Ring Class Reference

#include <poisson_2d_ring_testcase.h>

Inherits MathTL::Function<2>.

List of all members.

Public Member Functions

 Poisson_Solution_Ring ()
 Default constructor.
double value (const Point< 2 > &p, const unsigned int component=0) const
 Point evaluation.
void vector_value (const Point< 2 > &p, Vector< double > &values) const
 Dummy concretization for the compiler.


Detailed Description

This class models the exact solution of a test problem for the Poisson equation in the two-dimensional ring-shaped domain $(-1,2)^2\setminus [0,1]^2$; cf. Sect. 7.2.3 in Manuel's PhD thesis. The solution consists of four singularity functions (as in eq. (4.4.4) in Manuel's PhD thesis) situated around the re-entrant corners. The whole funtion is plotted in Fig.7.22 (left).
The documentation for this class was generated from the following files:

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