A Domain Decomposition Method for the Acoustic Wave Equation Allowing for Discontinuous Coefficients and Grid Change

Date
1994-01
Journal Title
Journal ISSN
Volume Title
Publisher
Description
Abstract

A domain decomposition technique is proposed for the computation of the acoustic wave equation, in which the bulk modulus and density fields are allowed to be discontinuous at the interfaces. Inside each subdomain, the method presented coincides with the second order finite difference schemes traditionally used in geophysical modelling. However, the possibility of assigning to each subdomain its own space-step makes numerical simulations much less expensive. Another interest of the method lies in the fact that its hybrid variational formulation naturally leads to exact equations for gridpoints on the interfaces. Transposing Babuska-Brezzi's formalism on mixed and hybrid finite elements provides a suitable functional framework for this domain decomposition formulation and shows that the inf-sup condition remains the basic requirement for convergence to occur.

Description
Advisor
Degree
Type
Technical report
Keywords
Citation

Bamberger, Alain, Glowinski, Roland and Tran, Quang Huy. "A Domain Decomposition Method for the Acoustic Wave Equation Allowing for Discontinuous Coefficients and Grid Change." (1994) https://hdl.handle.net/1911/101828.

Has part(s)
Forms part of
Published Version
Rights
Link to license
Citable link to this page