Finite difference analysis of a double‐porosity consolidation model | Zendy

Boal N. | Zendy; Gaspar F. J. | Zendy; Lisbona F. J. | Zendy; Vabishchevich P. N. | Zendy

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Finite difference analysis of a double‐porosity consolidation model

Author(s) -

Boal N.,

Gaspar F. J.,

Lisbona F. J.,

Vabishchevich P. N.

Publication year - 2012

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.20612

Subject(s) - consolidation (business) , mathematics , convergence (economics) , porosity , partial differential equation , finite element method , a priori and a posteriori , finite difference , numerical analysis , work (physics) , finite difference method , mathematical analysis , scheme (mathematics) , partial derivative , geotechnical engineering , geology , structural engineering , thermodynamics , philosophy , business , physics , accounting , epistemology , engineering , economics , economic growth

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. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 138–154, 2012

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