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Finite difference analysis of a double-porosity consolidation model

✍ Scribed by N. Boal; F. J. Gaspar; F. J. Lisbona; P. N. Vabishchevich

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
322 KB
Volume
28
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

This work deals with the numerical solution of a two‐dimensional double‐porosity consolidation problem using a finite difference scheme. Stabilized discretizations using staggered grids in both space and time are proposed. A priori estimates for displacements and pressures in discrete energy norms are obtained, and the corresponding convergence results are given. Numerical examples illustrate the convergence properties of the proposed numerical scheme. Β© 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 138–154, 2012

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