Local and parallel finite element algorithms for the Steklov eigenvalue problem. (English) Zbl 1337.65143
Summary: Based on the work of J. Xu and A. Zhou [Math. Comput. 69, No. 231, 881–909 (2000; Zbl 0948.65122)], we propose and analyze in this article local and parallel finite element algorithms for the Steklov eigenvalue problem. We also prove a local error estimate which is suitable for the case that the locally refined region contains singular points lying on the boundary of domain, which is an improvement of the existing results. Numerical experiments are reported finally to validate our theoretical analysis.
MSC:
| 65N25 | Numerical methods for eigenvalue problems for boundary value problems involving PDEs |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
Citations:
Zbl 0948.65122Software:
iFEMReferences:
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