A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations
type: Item
instance of: scholarly article
title: A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations
zbMATH Open document ID: 1383.78047
author: Qiya Hu
author: Long Yuan
published in: Advances in Computational Mathematics
publication date: 2018-02-14T00:00:00Z
Mathematics Subject Classification ID: 78M22
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 78M30
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 6838731
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: time-harmonic Maxwell equations
zbMATH Keywords: nonhomogeneous
zbMATH Keywords: local spectral element
zbMATH Keywords: plane wave basis functions
zbMATH Keywords: error estimates
MaRDI profile type: Publication
full work available at URL: s10444-017-9542-z
OpenAlex ID: W2623900191
cites work: Convergence Analysis of a Discontinuous Galerkin Method with Plane Waves and Lagrange Multipliers for the Solution of Helmholtz Problems
cites work: A new method of fundamental solutions applied to nonhomogeneous elliptic problems
cites work: Numerical comparison of two meshfree methods for acoustic wave scattering
cites work: Q4531674
cites work: Error estimates for the Ultra Weak Variational Formulation of the Helmholtz equation
cites work: Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version
cites work: Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem
cites work: Using Plane Waves as Base Functions for Solving Time Harmonic Equations with the Ultra Weak Variational Formulation
cites work: The wave based method: an overview of 15 years of research
cites work: Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations
cites work: Preasymptotic Error Analysis of Higher Order FEM and CIP-FEM for Helmholtz Equation with High Wave Number
cites work: A domain decomposition method for discontinuous Galerkin discretizations of Helmholtz problems with plane waves and Lagrange multipliers
cites work: ℎ𝑝-Discontinuous Galerkin methods for the Helmholtz equation with large wave number
cites work: Discontinuous Galerkin methods with plane waves for time-harmonic problems
cites work: Plane wave discontinuous Galerkin methods: Analysis of theh-version
cites work: The Optimal Convergence of theh‐pVersion of the Finite Element Method with Quasi‐Uniform Meshes
cites work: Stability estimates for a class of Helmholtz problems
cites work: Implementation of an interior point source in the ultra weak variational formulation through source extraction
cites work: Q5862214
cites work: A Plane-Wave Least-Squares Method for Time-Harmonic Maxwell's Equations in Absorbing Media
cites work: Solving Maxwell's equations using the ultra weak variational formulation
cites work: Plane wave approximation of homogeneous Helmholtz solutions
cites work: Finite Element Methods for Maxwell's Equations
cites work: A least-squares method for the Helmholtz equation
cites work: THE MULTISCALE VTCR APPROACH APPLIED TO ACOUSTICS PROBLEMS
cites work: AN ADAPTIVE NUMERICAL STRATEGY FOR THE MEDIUM-FREQUENCY ANALYSIS OF HELMHOLTZ'S PROBLEM
cites work: Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems
DOI: 10.1007/S10444-017-9542-Z
Recommended article: A combined scheme of the local spectral element method and the generalized plane wave discontinuous Galerkin method for the anisotropic Helmholtz equation
Recommended article: The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media
Recommended article: Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers
Recommended article: Q2993577
Recommended article: The Plane Wave Discontinuous Galerkin Method Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media
Recommended article: A Two-Steps Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media
Recommended article: A variant of the plane wave least squares method for the time-harmonic Maxwell’s equations
Recommended article: A plane wave virtual element method for the Helmholtz problem
Recommended article: The plane waves method for axisymmetric Helmholtz problems
Recommended article: A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations
description: scientific article; zbMATH DE number 6838731