Discontinuous Mixed Covolume Methods for Parabolic Problems

We present the semidiscrete and the backward Euler fully discrete discontinuous mixed covolume schemes for parabolic problems on triangular meshes. We give the error analysis of the discontinuous mixed covolume schemes and obtain optimal order error estimates in discontinuous Hdiv and first-order er...

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Bibliographic Details
Main Authors: Ailing Zhu, Ziwen Jiang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/867863
Description
Summary:We present the semidiscrete and the backward Euler fully discrete discontinuous mixed covolume schemes for parabolic problems on triangular meshes. We give the error analysis of the discontinuous mixed covolume schemes and obtain optimal order error estimates in discontinuous Hdiv and first-order error estimate in L2.
ISSN:2356-6140
1537-744X