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Numerical analysis of a mixed finite element method for a flow‐transport problem
Author(s) -
Chou S.H.,
Li Q.
Publication year - 1996
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/(sici)1098-2426(199603)12:2<221::aid-num5>3.0.co;2-s
Subject(s) - finite element method , mathematics , mixed finite element method , partial differential equation , extended finite element method , convection–diffusion equation , brine , finite element limit analysis , flow (mathematics) , diffusion , smoothed finite element method , mathematical optimization , mathematical analysis , geometry , boundary knot method , thermodynamics , physics , boundary element method
We consider a generic flow‐transport system of partial differential equations, which has wide application in the waste disposal industry. The approximation of this system, using a finite element method for the brine, radionuclides, and heat combined with a mixed finite element method for the pressure and velocity, is analyzed. Optimal order error estimates in H 1 and L 2 are derived. The error analysis is given with no restriction on the diffusion tensor. That is, we have included the effects of molecular diffusion and dispersion. © 1996 John Wiley & Sons, Inc.