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Discontinuous finite volume element method for parabolic problems
Author(s) -
Bi Chunjia,
Geng Jiaqiang
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.20437
Subject(s) - mathematics , finite element method , norm (philosophy) , backward euler method , finite volume method , partial differential equation , partial derivative , mathematical analysis , euler's formula , volume (thermodynamics) , order (exchange) , euler equations , mechanics , physics , finance , quantum mechanics , political science , law , economics , thermodynamics
In this article, we consider the semidiscrete and the backward Euler fully discrete discontinuous finite volume element methods for the second‐order parabolic problems and obtain the optimal order error estimates in a mesh dependent norm and in the L 2 ‐norm. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010