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 H(div) and first-order...

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Detalles Bibliográficos
Autores principales: Zhu, Ailing, Jiang, Ziwen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3985389/
https://www.ncbi.nlm.nih.gov/pubmed/24983008
http://dx.doi.org/10.1155/2014/867863
Descripción
Sumario: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 H(div) and first-order error estimate in L (2).

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