Finite Difference Schemes for Poro-elastic ProblemS

Abstract: In this paper, we present a finite difference analysis of the consolidation problem for saturated porous media. In the classical model, the behaviour of the porous environment – fluid system is described by a set of equations for the unknown vector displacements of the matrix skeleton and the fluid pressure. For simplicity we consider a model problem with constant coefficients in a rectangular domain. A priori estimates for the difference solution of the problem are obtained and on their basis the convergence of two-level difference schemes is investigated.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Finite Difference Schemes for Poro-elastic ProblemS ; volume:2 ; number:2 ; year:2002 ; pages:132-142
Computational methods in applied mathematics ; 2, Heft 2 (2002), 132-142

Creator
Gaspar, Francisco J.
Lisbona, Francisco J.
Vabishchevich, Petr N.

DOI
10.2478/cmam-2002-0008
URN
urn:nbn:de:101:1-2410261607347.521731119104
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:24 AM CEST

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Associated

  • Gaspar, Francisco J.
  • Lisbona, Francisco J.
  • Vabishchevich, Petr N.

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