Closed Form Dispersion Corrections Including a Real Shifted WaveNumber for Finite Difference Discretizations of 2D Constant Coefficient Helmholtz Problems
Author:
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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1. Application of Adapted-Bubbles to the Helmholtz Equation with Large Wavenumbers in 2D;Numerical Mathematics: Theory, Methods and Applications;2023-06
2. A Semi Matrix-Free Twogrid Preconditioner for the Helmholtz Equation with Near Optimal Shifts;Journal of Scientific Computing;2023-05-03
3. Conditioning analysis for discrete Helmholtz problems;Computers & Mathematics with Applications;2022-07
4. Pollution and accuracy of solutions of the Helmholtz equation: A novel perspective from the eigenvalues;Journal of Computational and Applied Mathematics;2021-10
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