The MMOC and MMOCAA schemes for the finite volume element method of convection-diffusion problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article

Chen, Chuanjun¹  Liu, Wei² 

[1] Yantai Univ, Dept Math & Informat Sci, Yantai 264005, Peoples R China

[2] Shandong Univ Finance & Econ, Sch Math & Stat, Jinan 250014, Peoples R China

关键词: MMOC;    MMOCAA;    Finite volume element method;    Error estimates;   

DOI  :  10.1016/j.cam.2011.09.006

来源: Elsevier

【 摘 要 】

We present and analyze the modified method of characteristics (MMOC) and the modified method of characteristics with adjusted advection (MMOCAA) for the finite volume element (FVE) method of convection-diffusion problems. These two schemes maintain the advantages of both the MMOC and the FVE method. And the MMOCAA scheme discussed herein conserves the conservation law globally at a minor additional computational cost. Optimal-order error estimates in the H(1)-norm are proved for these schemes. A numerical example is presented to confirm the estimates. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free