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Journal of Scientific Computing

Erschienen in:

01.05.2014

Composite Spectral Method for Exterior Problems with Polygonal Obstacles

verfasst von: Ben-Yu Guo, Xu-Hong Yu

Erschienen in: Journal of Scientific Computing | Ausgabe 2/2014

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Abstract

In this paper, we propose a domain decomposition spectral method for exterior problems with arbitrary polygonal obstacles. Some results on the composite Legendre–Laguerre quasi-orthogonal approximation are established, which play important roles in the spectral method for exterior problems. As examples of applications, the composite spectral schemes are provided for two model problems, with the convergence analysis. Numerical results demonstrate the spectral accuracy of this new approach. The approximation results and techniques developed in this paper are also applicable to other problems defined on unbounded domains with complex geometry.

Vorheriger Artikel Numerical Methods and Simulations for the Dynamics of One-Dimensional Zakharov–Rubenchik Equations

Nächster Artikel A -Weak Galerkin Finite Element Method for the Biharmonic Equation

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Titel: Composite Spectral Method for Exterior Problems with Polygonal Obstacles
verfasst von: Ben-Yu Guo
Xu-Hong Yu
Publikationsdatum: 01.05.2014
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 2/2014
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-013-9769-x

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