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An error estimate for a finite volume scheme for a diffusion–convection problem on a triangular mesh

✍ Scribed by Raphaèle Herbin

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
414 KB
Volume
11
Category
Article
ISSN
0749-159X

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✦ Synopsis

We stud here a finite volume scheme for a diffusion-convection equation on an open bounded set presented along with the geometrical assumptions on the mesh. An error estimate of order h on the discrete L2 norm is obtained, where h denotes the "size" of the mesh. The proof uses an estimate of order h of the consistency error on the fluxes and an estimate of the number of edges of the mesh between one given triangle and the boundary a. 0 1995 John Wiley & Sons, Inc. of i R Y ' , using a triangular mesh for the discretization of a. The 4-point numerical scheme is Numerical Methods for Partial Differential Equations, 11, 165-173 (1995) 0 1995 John Wiley & Sons, Inc. CCC 0749-159X/95/020165-09 * d, = d(xT;:,a) + d(xT;,,a).

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