Helmholtz问题的不连续Galerkin法斑块重构

IF 1.5 4区工程技术 Q2 MATHEMATICS, APPLIED

Advances in Applied Mathematics and Mechanics Pub Date : 2023-06-01 DOI:10.4208/aamm.oa-2022-0008

Di Li, Min Liu, Xiliang Lu null, J. Yang

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The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems

. This paper develops and analyzes interior penalty discontinuous Galerkin (IPDG) method by patch reconstruction technique for Helmholtz problems. The technique achieves high order approximation by locally solving a discrete least-squares over a neighboring element patch. We prove a prior error estimates in the L 2 norm and energy norm. For each ﬁxed wave number k , the accuracy and efﬁciency of the method up to order ﬁve with high-order polynomials. Numerical examples are carried out to validate the theoretical results.

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来源期刊

Advances in Applied Mathematics and Mechanics MATHEMATICS, APPLIED-MECHANICS

CiteScore

2.60

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： Advances in Applied Mathematics and Mechanics (AAMM) provides a fast communication platform among researchers using mathematics as a tool for solving problems in mechanics and engineering, with particular emphasis in the integration of theory and applications. To cover as wide audiences as possible, abstract or axiomatic mathematics is not encouraged. Innovative numerical analysis, numerical methods, and interdisciplinary applications are particularly welcome.