Numerical methods for wave propagation in elastic and anelastic media
type: Item
instance of: scholarly article
title: Numerical methods for wave propagation in elastic and anelastic media
zbMATH Open document ID: 0801.73076
published in: Computational and Applied Mathematics
publication date: 1994-11-27T00:00:00Z
review text: Numerical procedures are presented to simulate the propagation of waves in elastic and anelastic media. The equations of motion are stated in terms of a first order system for the velocity and the stress. Perfectly absorbing boundary conditions are used for the artificial boundaries of the model. Existence and uniqueness results are given for the solution of the differential problems. For the elastic case, the approximate solution is computed using an explicit procedure. For the anelastic case, the equations are stated in the space-frequency domain using complex frequency-dependent coefficients in the stress-strain relations. A naturally parallelizable algorithm is presented to obtain an approximate solution. The solution in the time domain is obtained using an approximation to the inverse Fourier transform.
Mathematics Subject Classification ID: 74S20
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74J10
zbMATH DE Number: 611164
zbMATH Keywords: existence
zbMATH Keywords: velocity-stress
zbMATH Keywords: first order system
zbMATH Keywords: absorbing boundary conditions
zbMATH Keywords: uniqueness
zbMATH Keywords: explicit procedure
zbMATH Keywords: space-frequency domain
zbMATH Keywords: parallelizable algorithm
zbMATH Keywords: time domain
zbMATH Keywords: inverse Fourier transform
author: Patricia M. Gauzellino
author: Juan E. Santos
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 611164