Higher-order splitting method for elastic wave propagation
type: Item
instance of: scholarly article
title: Higher-order splitting method for elastic wave propagation
zbMATH Open document ID: 1158.74020
DOI: 10.1155/2008/291968
author: Jürgen Geiser
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2009-03-30T00:00:00Z
full work available at URL: https://eudml.org/doc/55244
review text: Summary: Motivated by seismological problems, we have studied a fourth-order split scheme for the elastic wave equation. We split in the spatial directions and obtain locally one-dimensional systems to be solved. We have analyzed the new scheme, and obtained results show consistency and stability. We have used the split scheme to solve problems in two and three dimensions. We have also looked at the influence of singular forcing terms on the convergence properties of the scheme.
Mathematics Subject Classification ID: 74H15
Mathematics Subject Classification ID: 74J10
Mathematics Subject Classification ID: 74L05
Mathematics Subject Classification ID: 86A15
zbMATH DE Number: 5534768
zbMATH Keywords: stability
zbMATH Keywords: singular forcing terms
zbMATH Keywords: convergence
Wikidata QID: Q58645447
MaRDI profile type: Publication
OpenAlex ID: W2022106055
cites work: High-order schemes for acoustic waveform simulation
cites work: Seismic waves and sources.
cites work: A High Accuracy Alternating Direction Method for the Wave Equation
cites work: Q2761234
cites work: Alternating Direction Methods for Hyperbolic Differential Equations
cites work: Alternating Direction Implicit Methods for Parabolic Equations with a Mixed Derivative
cites work: Q4841246
cites work: Q3135823
cites work: Q4399897
cites work: Some application of splitting-up methods to the solution of mathematical physics problems
cites work: On the approximation of singular source terms in differential equations
cites work: Numerical approximations of singular source terms in differential equations
cites work: The generation of waves in an infinite elastic solid by variable body forces
DBLP publication ID: journals/ijmmsc/Geiser08
description: scientific article; zbMATH DE number 5534768