A systematic study on weak Galerkin finite-element method for second-order wave equation-Reference-Cited by-同舟云学术

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A systematic study on weak Galerkin finite-element method for second-order wave equation

Published:2022-10-21 Issue:8 Volume:41 Page:
ISSN:2238-3603
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Jana Puspendu,Kumar Naresh,Deka Bhupen^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40314-022-02058-z.pdf

Reference49 articles.

1. Adams R, Fournier J (2003) Sobolev Spaces, sec. Academic Press, Amsterdam

2. Adjerid S, Temimi H (2011) A discontinuous Galerkin method for the wave equation. Comput Methods Appl Mech Engrg 200:837–849

3. Baccouch M (2012) A local discontinuous Galerkin method for the second-order wave equation. Comput Methods Appl Mech Engrg 209:129–143

4. Baker GA (1976) Error estimates for finite element methods for second order hyperbolic equations. SIAM J Numer Anal 13:564–576

5. Baker GA, Dougalis VA (1980) On the $$L^{\infty }$$ convergence of Galerkin approximations for second-order hyperbolic equations. Math Comp 34:401–424

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1. Convergence Analysis for the Wave Equation Discretized with Hybrid Methods in Space (HHO, HDG and WG) and the Leapfrog Scheme in Time;Journal of Scientific Computing;2024-08-13

2. Mixed Virtual Element approximation of linear acoustic wave equation;IMA Journal of Numerical Analysis;2023-10-13

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