A discontinuous Petrov–Galerkin (DPG) formulation for the FEM applied to the Helmholtz equation for high wavenumbers-Reference-Cited by-同舟云学术

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A discontinuous Petrov–Galerkin (DPG) formulation for the FEM applied to the Helmholtz equation for high wavenumbers

Published:2016-11-26 Issue:5 Volume:39 Page:1529-1544
ISSN:1678-5878
Container-title:Journal of the Brazilian Society of Mechanical Sciences and Engineering
language:en
Short-container-title:J Braz. Soc. Mech. Sci. Eng.

Author:

Dias R.,do Carmo E. G. D.,Mansur W. J.,Monteiro C. S. G.

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,General Engineering,Aerospace Engineering,Automotive Engineering,Industrial and Manufacturing Engineering,Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s40430-016-0685-5.pdf

Reference29 articles.

1. Alvarez GB, Loula AFD, Rochinha FA (2004) A discontinuous finite element formulation for Helmholtz equation. Comput Methods Appl Mech Eng 195:4018–4035

2. Arnold DN, Brezzi F, Cockburn B, Marini D (1999) Discontinuous Galerkin methods for elliptic problems. Technical report of Instituto di Analisi Numerica del C N R, Pavia, Italy

3. Babuška I, Ihlenburg F, Paik ET, Sauter SA (1995) A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution. Comput Meth Appl Mech Eng 128:325–359

4. Babuška I, Baumann CE, Oden JT (1999) A discontinuous hp finite element method for diffusion problems 1D analysis. Comput Math Appl 37(10):103–122

5. Bastos JP, Sadowski N (2003) Electromagnetic modeling by finite element methods. Marcel Dekker, USA

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A new scheme to obtain pollution-free solution for plane waves and to generate a continuous Petrov–Galerkin method for the Helmholtz problem;Computer Methods in Applied Mechanics and Engineering;2020-02

2. The size function for a HDG method applied to the Helmholtz problem;Computational and Applied Mathematics;2019-05-13

3. Identifying the wavenumber for the inverse Helmholtz problem using an enriched finite element formulation;Computer Methods in Applied Mechanics and Engineering;2018-10

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