On the coupling of finite volume and discontinuous Galerkin method for elliptic problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Chidyagwai, Prince¹  Mishev, Ilya²  Riviere, Beatrice¹ 

[1] Rice Univ, Dept Computat & Appl Math, Houston, TX 77005 USA

[2] ExxonMobil Upstream Res Co, Houston, TX 77098 USA

关键词: Discontinuous Galerkin;    Finite volume;    Anisotropic medium;    Multi-numerics;    Convergence;   

DOI  :  10.1016/j.cam.2010.10.017

来源: Elsevier

【 摘 要 】

The coupling of cell-centered finite volume method with primal discontinuous Galerkin method is introduced in this paper for elliptic problems. Convergence of the method with respect to the mesh size is proved. Numerical examples confirm the theoretical rates of convergence. Advantages of the coupled scheme are shown for problems with discontinuous coefficients or anisotropic diffusion matrix. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free