Pollution and accuracy of solutions of the Helmholtz equation: a novel perspective from the eigenvalues
type: Item
instance of: scholarly article
title: Pollution and accuracy of solutions of the Helmholtz equation: a novel perspective from the eigenvalues
zbMATH Open document ID: 1466.35092
author: V. Dwarka
author: C. Vuik
published in: Journal of Computational and Applied Mathematics
publication date: 2021-06-03T00:00:00Z
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N22
zbMATH DE Number: 7354986
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: pollution
zbMATH Keywords: numerical dispersion
zbMATH Keywords: eigenvalues
zbMATH Keywords: FDM
zbMATH Keywords: FEM
MaRDI profile type: Publication
full work available at URL: j.cam.2021.113549
OpenAlex ID: W3154881639
cites work: Q4951622
cites work: Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
cites work: Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
cites work: Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number
cites work: Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
cites work: Q4924045
cites work: A dispersion minimizing finite difference scheme and preconditioned solver for the 3D Helmholtz equation
cites work: Q5862223
cites work: On the pollution effect in FE solutions of the 3D-Helmholtz equation
cites work: Q4972935
cites work: Is Pollution Effect of Finite Difference Schemes Avoidable for Multi-Dimensional Helmholtz Equations with High Wave Numbers?
cites work: Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media using Compact High Order Schemes
cites work: A dispersion minimizing compact finite difference scheme for the 2D Helmholtz equation
cites work: An optimal compact sixth-order finite difference scheme for the Helmholtz equation
cites work: High-order finite difference methods for the Helmholtz equation
cites work: A dispersion minimizing scheme for the 3-D Helmholtz equation based on ray theory
cites work: A Finite Difference Method with Optimized Dispersion Correction for the Helmholtz Equation
cites work: Closed Form Dispersion Corrections Including a Real Shifted WaveNumber for Finite Difference Discretizations of 2D Constant Coefficient Helmholtz Problems
cites work: Complex wavenumber Fourier analysis of the \(p\)-version finite element method
cites work: Wavenumber-explicit analysis for the Helmholtz \(h\)-BEM: error estimates and iteration counts for the Dirichlet problem
cites work: Superconvergence analysis of linear FEM based on polynomial preserving recovery for Helmholtz equation with high wave number
cites work: Analytical solutions for a Helmholtz equation with Dirichlet boundary conditions and arbitrary boundaries
cites work: Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation
cites work: Q4487216
cites work: The eigenvalue shift technique and its eigenstructure analysis of a matrix
DOI: 10.1016/J.CAM.2021.113549
description: scientific article; zbMATH DE number 7354986