Finite element methods for the simulation of wave propagation in two- dimensional inhomogeneous elastic media
type: Item
instance of: scholarly article
title: Finite element methods for the simulation of wave propagation in two- dimensional inhomogeneous elastic media
zbMATH Open document ID: 0592.73039
DOI: 10.1007/BF02576497
published in: Calcolo
publication date: 1985-01-01T00:00:00Z
review text: The author defines certain continuous and discrete-time standard Galerkin procedures and obtains optimal order convergence results in \(L^ 2(\Omega)\) and \(H^ 1(\Omega)\). Efficient time-stepping procedures which are analogous to the so-called Laplace-modified and alternating direction methods are also provided. These Galerkin procedures are applicable to approximate solutions for the wave equation in two-dimensional, inhomogeneous elastic media.
Mathematics Subject Classification ID: 74J99
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74S99
zbMATH DE Number: 3952121
zbMATH Keywords: finite element procedures
zbMATH Keywords: Laplace-modified methods
zbMATH Keywords: alternating
zbMATH Keywords: direction preconditioned conjugate gradient method
zbMATH Keywords: L(sup 2)-convergence
zbMATH Keywords: H(sup 1)-convergence
zbMATH Keywords: continuous and discrete-time standard Galerkin procedures
zbMATH Keywords: optimal order convergence results
zbMATH Keywords: time-stepping procedures
zbMATH Keywords: approximate solutions
zbMATH Keywords: wave equation
zbMATH Keywords: two-dimensional
author: Juan E. Santos
reviewed by: M. A. Ibiejugba
MaRDI profile type: Publication
cites work: Q4125655
cites work: An Analysis of Some Galerkin Schemes for the Solution of Nonlinear Time-Dependent Problems
cites work: Q4115989
cites work: Incomplete Iteration for Time-Stepping a Galerkin Method for a Quasilinear Parabolic Problem
cites work: Q4097611
full work available at URL: https://doi.org/10.1007/bf02576497
OpenAlex ID: W1977823013
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description: scientific article; zbMATH DE number 3952121