An optimal‐order error estimate for a Galerkin‐mixed finite‐element time‐stepping procedure for porous media flows | Zendy

Chen Fengxin | Zendy; Chen Huanzhen | Zendy; Wang Hong | Zendy

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An optimal‐order error estimate for a Galerkin‐mixed finite‐element time‐stepping procedure for porous media flows

Author(s) -

Chen Fengxin,

Chen Huanzhen,

Wang Hong

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.20652

Subject(s) - finite element method , mathematics , porous medium , galerkin method , displacement (psychology) , partial differential equation , compressibility , mixed finite element method , discontinuous galerkin method , mathematical analysis , order (exchange) , partial derivative , mathematical optimization , porosity , mechanics , materials science , physics , thermodynamics , finance , economics , psychotherapist , composite material , psychology

This article deals with the numerical approximation of miscible displacement problem of one incompressible fluid in a porous medium. The adopted formulation is based on the combined use of a mixed finite‐element scheme to treat pressure equation and of the finite‐element approach to treat concentration equation. Optimal‐order error estimates are obtained under some milder mesh‐parameter constraints. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 707–719, 2012

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