A weak Galerkin mixed finite element method for the Helmholtz equation with large wave numbers-Reference-Cited by-同舟云学术

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A weak Galerkin mixed finite element method for the Helmholtz equation with large wave numbers

Published:2018-02-15 Issue:3 Volume:34 Page:1009-1032
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Wang Ruishu¹,Wang Xiaoshen²,Zhai Qilong¹^ORCID,Zhang Kai¹

Affiliation:

1. School of Mathematics; Jilin University; Changchun China

2. Department of Mathematics and Statistics; University of Arkansas at Little Rock; Little Rock Arkansas

Funder

National Natural Science Foundation of China

Program for New Century Excellent Talents in University

Symbolic Computation and Knowledge Engineering of Ministry of Education

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Reference37 articles.

1. Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave number?;Babuška;SIAM J. Numer. Anal.,1997

2. A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution;Babuška;Comput. Methods Appl. Mech. Eng.,1995

3. Numerical solution of the Helmholtz equation with high wavenubers;Bao;Int. J. Numer. Meth. Eng.,2004

4. P. G. Ciarlet 1978

5. Sharp regularity coefficient estimates for the complex-valued acoustic and elastic Helmholtz equations;Cummings;Math. Models Methods Appl. Sci.,2006

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