Grid modification for the wave equation with attenuation
type: Item
instance of: scholarly article
title: Grid modification for the wave equation with attenuation
zbMATH Open document ID: 0791.65078
author: Daoqi Yang
published in: Numerische Mathematik
publication date: 1994-07-07T00:00:00Z
review text: The wave equation with attenuation due to a linear friction is approximated by a new mixed finite element method which allows one to use different grids and basis functions at different times when necessary. This method enables one to track sharp moving wave fronts more efficiently and accurately. Error estimates with optimal convergence rates are established. Unconditional stability is also proved for this method.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 569106
zbMATH Keywords: error estimates
zbMATH Keywords: unconditional stability
zbMATH Keywords: grid modification
zbMATH Keywords: wave equation
zbMATH Keywords: mixed finite element method
zbMATH Keywords: sharp moving wave fronts
zbMATH Keywords: optimal convergence rates
MaRDI profile type: Publication
full work available at URL: s002110050034
OpenAlex ID: W2064548179
DOI: 10.1007/S002110050034
Recommended article: Grid approximation of a wave equation singularly perturbed with respect to the space variable
Recommended article: Q5698725
Recommended article: Wave propagation and reflection in irregular grids for hyperbolic equations
Recommended article: Q3714645
Recommended article: Grid Modification for Second-Order Hyperbolic Problems
Recommended article: Modified finite difference schemes on uniform grids for simulations of the Helmholtz equation at any wave number
Recommended article: Numerical solution of the modified equal width wave equation
Recommended article: Q4036656
Recommended article: On a modification of the wave equation for a layered medium
Recommended article: Numerical Absorbing Boundary Conditions for the Wave Equation
description: scientific article; zbMATH DE number 569106