Closed Form Dispersion Corrections Including a Real Shifted WaveNumber for Finite Difference Discretizations of 2D Constant Coefficient Helmholtz Problems-Reference-Cited by-同舟云学术

Closed Form Dispersion Corrections Including a Real Shifted WaveNumber for Finite Difference Discretizations of 2D Constant Coefficient Helmholtz Problems

Published:2021-01 Issue:1 Volume:43 Page:A278-A308
ISSN:1064-8275
Container-title:SIAM Journal on Scientific Computing
language:en
Short-container-title:SIAM J. Sci. Comput.

Author:

Cocquet Pierre-Henri,Gander Martin J.^ORCID,Xiang Xueshuang

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Link

https://epubs.siam.org/doi/pdf/10.1137/19M1304350

Reference27 articles.

1. Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number

2. Contributions to the mathematics of the nonstandard finite difference method and applications

3. Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?

4. Uniform Convergence of Multigrid V-Cycle Iterations for Indefinite and Nonsymmetric Problems

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2. Application of Adapted-Bubbles to the Helmholtz Equation with Large Wavenumbers in 2D;Numerical Mathematics: Theory, Methods and Applications;2023-06

3. Sixth-Order Compact Finite Difference Method for 2D Helmholtz Equations with Singular Sources and Reduced Pollution Effect;Communications in Computational Physics;2023-06

4. A Semi Matrix-Free Twogrid Preconditioner for the Helmholtz Equation with Near Optimal Shifts;Journal of Scientific Computing;2023-05-03

5. Conditioning analysis for discrete Helmholtz problems;Computers & Mathematics with Applications;2022-07