Solving Helmholtz equation at high wave numbers in exterior domains
type: Item
instance of: scholarly article
title: Solving Helmholtz equation at high wave numbers in exterior domains
zbMATH Open document ID: 1411.78008
author: Kun Wang
author: Yau shu Wong
author: Jizu Huang
published in: Applied Mathematics and Computation
publication date: 2019-03-28T00:00:00Z
Mathematics Subject Classification ID: 78M20
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 7043808
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: high wave number
zbMATH Keywords: local refinement
zbMATH Keywords: polar and spherical coordinates
zbMATH Keywords: pollution-free scheme
MaRDI profile type: Publication
full work available at URL: j.amc.2016.11.015
OpenAlex ID: W2559509558
cites work: Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number
cites work: Stable generalized finite element method (SGFEM)
cites work: Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
cites work: Numerical solution of the Helmholtz equation with high wavenumbers
cites work: Stability of the scattering from a large electromagnetic cavity in two dimensions
cites work: A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity
cites work: A compact fourth order scheme for the Helmholtz equation in polar coordinates
cites work: Multilevel Preconditioner with Stable Coarse Grid Corrections for the Helmholtz Equation
cites work: A robust domain decomposition method for the Helmholtz equation with high wave number
cites work: Q4924045
cites work: A dispersion minimizing finite difference scheme and preconditioned solver for the 3D Helmholtz equation
cites work: On Stability of Discretizations of the Helmholtz Equation
cites work: ℎ𝑝-Discontinuous Galerkin methods for the Helmholtz equation with large wave number
cites work: Q3609565
cites work: Q2957221
cites work: Q5318585
cites work: A coupled BEM and FEM for the interior transmission problem in acoustics
cites work: Q5862214
cites work: Finite element analysis of acoustic scattering
cites work: Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
cites work: Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
cites work: The Galerkin boundary element method for exterior problems of 2-D Helmholtz equation with arbitrary wavenumber
cites work: Q5821083
cites work: Analysis of a Spectral-Galerkin Approximation to the Helmholtz Equation in Exterior Domains
cites work: Spectral Approximation of the Helmholtz Equation with High Wave Numbers
cites work: SIXTH-ORDER ACCURATE FINITE DIFFERENCE SCHEMES FOR THE HELMHOLTZ EQUATION
cites work: High-order finite difference methods for the Helmholtz equation
cites work: The generalized finite element method for Helmholtz equation: theory, computation, and open problems
cites work: Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
cites work: Q5862223
cites work: Efficient and Accurate Numerical Solutions for Helmholtz Equation in Polar and Spherical Coordinates
cites work: Exact finite difference schemes for solving Helmholtz equation at any wavenumber
cites work: A general approach for high order absorbing boundary conditions for the Helmholtz equation
cites work: Q3186765
DOI: 10.1016/J.AMC.2016.11.015
description: scientific article; zbMATH DE number 7043808