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Split least‐squares finite element methods for non‐Fickian flow in porous media
Author(s) -
Rui Hongxing,
Guo Hui
Publication year - 2013
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.21738
Subject(s) - mathematics , finite element method , constant (computer programming) , convergence (economics) , least squares function approximation , partial differential equation , porous medium , partial derivative , flow (mathematics) , mathematical analysis , geometry , porosity , computer science , physics , statistics , thermodynamics , engineering , estimator , programming language , geotechnical engineering , economics , economic growth
In this article, we introduce two least‐squares finite element procedures for parabolic integro‐differential equations arising in the modeling of non‐Fickian flow in porous media. By selecting the least‐squares functional properly the presented procedure can be split into two independent subprocedures, one subprocedure is for the primitive unknown and the other is for the flux. The optimal order convergence analysis is established. Numerical examples are given to show the efficiency of the introduced schemes. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013