Spurious modes in finite-element discretizations of the wave equation may not be all that bad

DOI10.1016/S0168-9274(98)00078-6zbMath0933.65112OpenAlexW2047197079WikidataQ57880585 ScholiaQ57880585MaRDI QIDQ1294611

V. Pereyra

Publication date: 20 March 2000

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00078-6

zbMATH Keywords

wave equationerror boundsdiscrete Fourier transformhigh-order finite elementsspurious modes

Mathematics Subject Classification ID

Wave equation (35L05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (15)

General templates for \(n\)-noded bar elements based on reduced representations and numerical dispersion reduction by optimized finite elements ⋮ Dispersion properties of explicit finite element methods for wave propagation modelling on tetrahedral meshes ⋮ Double-grid Chebyshev spectral elements for acoustic wave modeling ⋮ Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics ⋮ Analysis of high-order finite elements for convected wave propagation ⋮ Dispersion analysis of finite difference and discontinuous Galerkin schemes for Maxwell's equations in linear Lorentz media ⋮ Dispersion analysis of spectral element methods for elastic wave propagation ⋮ Comment on ``Dispersion analysis of spectral element methods for elastic wave propagation by G. Seriani and S.P. Oliveira ⋮ DFT MODAL ANALYSIS OF SPECTRAL ELEMENT METHODS FOR ACOUSTIC WAVE PROPAGATION ⋮ Dispersion analysis of the spectral element method using a triangular mesh ⋮ DFT modal analysis of spectral element methods for the 2D elastic wave equation ⋮ Improving the accuracy of mass-lumped finite-elements in the first-order formulation of the wave equation by defect correction ⋮ Dispersion analysis of discontinuous Galerkin method on triangular mesh for elastic wave equation ⋮ Fourth order symmetric finite difference schemes for the acoustic wave equation ⋮ Spectral elements and field separation for an acoustic fluid subject to cavitation.

This page was built for publication: Spurious modes in finite-element discretizations of the wave equation may not be all that bad