Convergence of the discontinuous finite volume method for elliptic problems with minimal regularity
نویسندگان
چکیده
This paper investigates convergence of the discontinuous finite volume method (DFVM) underminimal regularity assumptions on solutions of second order elliptic boundary value problems. Conventional analysis requires the solutions to be in Sobolev spacesH1+s, s > 1 2 . Here we assume the solutions are in H1+s, s > 0 and employ the techniques developed in Gudi (2010) [18,20] to derive error estimates in a mesh-dependent energy norm and the L2-norm for DFVM. The theoretical estimates are illustrated by numerical results, which include problems with corner singularity and intersecting interfaces. © 2012 Elsevier B.V. All rights reserved.
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عنوان ژورنال:
- J. Computational Applied Mathematics
دوره 236 شماره
صفحات -
تاریخ انتشار 2012