The influence of the mass matrix on the dispersive nature of the semi-discrete, second-order wave equation
type: Item
instance of: scholarly article
title: The influence of the mass matrix on the dispersive nature of the semi-discrete, second-order wave equation
zbMATH Open document ID: 0964.76038
DOI: 10.1016/S0045-7825(98)00266-7
author: Mark A. Christon
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2001-07-16T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76Q05
zbMATH DE Number: 1422535
zbMATH Keywords: penta-diagonal mass matrix
zbMATH Keywords: phase errors
zbMATH Keywords: second-order wave equation
zbMATH Keywords: dispersive errors
zbMATH Keywords: wave propagation direction
zbMATH Keywords: mesh aspect ratio
zbMATH Keywords: wave number
zbMATH Keywords: two-dimensional bilinear finite element
zbMATH Keywords: group errors
zbMATH Keywords: row-sum lumping mass matrix
describes a project that uses: NASTRAN
MaRDI profile type: Publication
cites work: Q3959371
cites work: Dispersion analysis of finite element semidiscretizations of the two-dimensional wave equation
cites work: Q3323414
cites work: Q4769916
cites work: Q4076701
cites work: Wave propagation analysis of difference schemes for hyperbolic equations: A review
cites work: High order numerical Sommerfeld boundary conditions: Theory and experiments
cites work: On wave propagation in almost periodic structures
cites work: Group Velocity in Finite Difference Schemes
cites work: On the group velocity of symmetric and upwind numerical schemes
cites work: A Fourier analysis of spurious mechanisms and locking in the finite element method
cites work: A symbolic Fourier synthesis of a one-point integrated quadrilateral plate element
cites work: A new finite element formulation for computational fluid dynamics. IX: Fourier analysis of space-time Galerkin/least-squares algorithms
cites work: Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
cites work: Fourier Analysis of Finite Element Preconditioned Collocation Schemes
cites work: Complex wavenumber Fourier analysis of the \(p\)-version finite element method
cites work: Complex wave-number dispersion analysis of Galerkin and Galerkin least-squares methods for fluid-loaded plates
cites work: Q4420177
cites work: Q3773481
cites work: Evaluation of numerical integration methods in elastodynamics
full work available at URL: s0045-7825(98)00266-7
OpenAlex ID: W2050542076
description: scientific article; zbMATH DE number 1422535