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Analysis and convergence of finite volume method using discontinuous bilinear functions

✍ Scribed by Xiu Ye

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
137 KB
Volume
24
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

We develop finite volume method using discontinuous bilinear functions on rectangular mesh. This method is analyzed for the Stokes equations. An optimal error estimate for the approximation of velocity is obtained in a mesh‐dependent norm. First order L^2^‐error estimates are derived for the approximations of both velocity and pressure. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007

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