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Analysis of an Euler implicit‐mixed finite element scheme for reactive solute transport in porous media
Author(s) -
Radu Florin A.,
Pop Iuliu Sorin,
Attinger Sabine
Publication year - 2010
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.20436
Subject(s) - backward euler method , discretization , mathematics , convergence (economics) , porous medium , euler's formula , finite element method , richards equation , partial differential equation , flow (mathematics) , euler method , scheme (mathematics) , fluid dynamics , mathematical analysis , porosity , mechanics , geometry , thermodynamics , geotechnical engineering , physics , geology , economics , water content , economic growth
In this article, we analyze an Euler implicit‐mixed finite element scheme for a porous media solute transport model. The transporting flux is not assumed given, but obtained by solving numerically the Richards equation, a model for subsurface fluid flow. We prove the convergence of the scheme by estimating the error in terms of the discretization parameters. In doing so we take into account the numerical error occurring in the approximation of the fluid flow. The article, is concluded by numerical experiments, which are in good agreement with the theoretical estimates. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010