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Journal of Scientific Computing

Erschienen in:

19.07.2016

Galerkin Method for the Scattering Problem of a Slit

verfasst von: Yujie Wang, Fuming Ma, Enxi Zheng

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2017

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Abstract

In this paper, the scattering problem of a slit is considered. By use of the exact Dirichlet-to-Neumann map and the continuity of the total field on the slit, we reformulate this problem to an operator equation. The well-posedness of the solution is proved. We apply Galerkin method to solve this operator equation numerically and prove the convergence of the numerical solution. Finally some computational examples are presented to show the effectiveness of our method.

Vorheriger Artikel The Highest Superconvergence Analysis of ADG Method for Two Point Boundary Values Problem

Nächster Artikel Performance and Scalability Improvements for Discontinuous Galerkin Solutions to Conservation Laws on Unstructured Grids

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Titel: Galerkin Method for the Scattering Problem of a Slit
verfasst von: Yujie Wang
Fuming Ma
Enxi Zheng
Publikationsdatum: 19.07.2016
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 1/2017
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-016-0248-z

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