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Error estimate in L 2 of a covolume method for the generalized Stokes problem
Author(s) -
Kang Kab Seok,
Kwak Do Young
Publication year - 2006
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.20091
Subject(s) - mathematics , norm (philosophy) , partial differential equation , stokes problem , partial derivative , order (exchange) , error analysis , scheme (mathematics) , first order , mathematical analysis , finite element method , thermodynamics , physics , political science , law , economics , finance
We investigate an L 2 ‐error estimate of a covolume scheme for the Stokes problem recently introduced by Chou (Math Comp 66 (1997), 85–104). We show the error in L 2 norm is of second order provided the exact velocity is in H 3 and the exact pressure is in H 2 . © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2006