Linear continuous interior penalty finite element method for Helmholtz equation With High Wave Number: One-Dimensional Analysis-Reference-Cited by-同舟云学术

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Linear continuous interior penalty finite element method for Helmholtz equation With High Wave Number: One-Dimensional Analysis

Published:2016-03-16 Issue:5 Volume:32 Page:1378-1410
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Burman Erik¹,Wu Haijun²,Zhu Lingxue³

Affiliation:

1. Department of Mathematics; University College London; London UK-WC1E6BT United Kingdom

2. Department of Mathematics; Nanjing University; Jiangsu 210093 People's Republic of China

3. Department of Mathematics; Jinling Institute of Technology; Jiangsu 211169 People's Republic of China

Funder

Engineering and Physical Sciences Research Council

National Natural Science Foundation of China

Natural Science Foundation of Jiangsu Province of China

Doctoral Scientific Research Foundation of Jinling Institute of Technology

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Reference34 articles.

1. Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation;Melenk;SIAM J. Numer Anal,2011

2. Finite element method for the Helmholtz equation in an exterior domain: Model problems;Harari;Comput Methods Appl Mech Eng,1991

3. A residual-based finite element method for the Helmholtz equation;Oberai;Int J Numer Methods Eng,2000

4. A variational multiscale method with subscales on the element boundaries for the Helmholtz equation;Baiges;Int J Numer Methods Eng,2013

5. hp-discontinuous Galerkin methods for the Helmholtz equation with large wave number;Feng;Math Comp,2011

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1. An optimized CIP-FEM to reduce the pollution errors for the Helmholtz equation on a general unstructured mesh;Journal of Computational Physics;2024-08

2. The (\(\boldsymbol{p}\), \(\boldsymbol{p}\,\unicode{x2013}\,\boldsymbol{1}\))-HDG Method for the Helmholtz Equation with Large Wave Number;SIAM Journal on Numerical Analysis;2024-06-12

3. Dispersion Analysis of CIP-FEM for the Helmholtz Equation;SIAM Journal on Numerical Analysis;2023-05-31

4. A Fictitious Domain Spectral Method for Solving the Helmholtz Equation in Exterior Domains;Journal of Scientific Computing;2023-01-16

5. Adaptive FEM for Helmholtz Equation with Large Wavenumber;Journal of Scientific Computing;2022-12-20

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