Analysis and convergence of finite volume method using discontinuous bilinear functions |
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| Authors: | Xiu Ye |
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| Institution: | Department of Mathematics, University of Arkansas, Little Rock, Arkansas 72204 |
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| 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 L2‐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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| Keywords: | discontinuous Galerkin method finite volume methods Stokes problems |
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