Decompositions of high-frequency Helmholtz solutions and application to the finite element method
type: Item
instance of: scholarly article
title: Decompositions of high-frequency Helmholtz solutions and application to the finite element method
author: David Lafontaine
published in: Séminaire Laurent Schwartz. EDP et Applications
publication date: 2022-11-08T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 7613353
MaRDI profile type: Publication
full work available at URL: slsedp.152
OpenAlex ID: W4296841156
cites work: Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
cites work: Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation
cites work: Semi-classical estimates for the resolvent in nontrapping geometries
cites work: Q4805956
cites work: The Functional Calculus
cites work: Q5690466
cites work: Mathematical Theory of Scattering Resonances
cites work: Analyticity of Solutions to Parabolic Evolutions and Applications
cites work: On Stability of Discretizations of the Helmholtz Equation
cites work: Q5630031
cites work: Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method
cites work: Optimal constants in nontrapping resolvent estimates and applications in numerical analysis
cites work: Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique)
cites work: For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering
cites work: Wavenumber-explicit convergence of the \(hp\)-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients
cites work: Q3996331
cites work: Q4953888
cites work: General DG-methods for highly indefinite Helmholtz problems
cites work: Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions
cites work: Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
cites work: Singularities of boundary value problems. II
cites work: Q4694019
cites work: Q5653193
cites work: Q4341316
cites work: Complex Scaling and the Distribution of Scattering Poles
cites work: Semiclassical analysis
DOI: 10.5802/SLSEDP.152
Recommended article: Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method
Recommended article: An Element Decomposition Method for the Helmholtz Equation
Recommended article: Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
Recommended article: An iterative domain decomposition, spectral finite element method on non-conforming meshes suitable for high frequency Helmholtz problems
Recommended article: High-frequency asymptotics for the numerical solution of the Helmholtz equation
Recommended article: Q3001344
Recommended article: A fixed-point iteration method for high frequency Helmholtz equations
Recommended article: Domain Decomposition Solvers for Frequency-Domain Finite Element Equations
Recommended article: Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
Recommended article: High-order finite difference methods for the Helmholtz equation
description: scientific article; zbMATH DE number 7613353