Efficient Trefftz collocation algorithms for elliptic problems in circular domains
Date
2013ISSN
1017-1398Source
Numerical AlgorithmsVolume
64Issue
3Pages
427-453Google Scholar check
Keyword(s):
Metadata
Show full item recordAbstract
We consider the numerical solution of certain elliptic boundary value problems in disks and annuli using the Trefftz collocation method. In particular we examine boundary value problems for the Laplace, Helmholtz, modified Helmholtz and biharmonic equations in such domains. It is shown that this approach leads to systems in which the matrices possess specific structures. By exploiting these structures we propose efficient algorithms for the solution of the systems. The proposed algorithms are applied to standard test problems. © 2012 Springer Science+Business Media New York.