FrameTL::Poisson_Solution_Ring Class Reference
#include <poisson_2d_ring_testcase.h>
Inherits MathTL::Function<2>.
List of all members.
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Public Member Functions |
| Poisson_Solution_Ring () |
| Default constructor.
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double | value (const Point< 2 > &p, const unsigned int component=0) const |
| Point evaluation.
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void | vector_value (const Point< 2 > &p, Vector< double > &values) const |
| Dummy concretization for the compiler.
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Detailed Description
This class models the exact solution of a test problem for the Poisson equation in the two-dimensional ring-shaped domain
![$(-1,2)^2\setminus [0,1]^2$](form_43.png)
; 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:
- /home/werner/PROMOTION/source/FrameTL/poisson_2d_ring_testcase.h
- /home/werner/PROMOTION/source/FrameTL/poisson_2d_ring_testcase.cpp