The MMOC and MMOCAA schemes for the finite volume element method of convection-diffusion problems期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Chuanjun Chen Wei Liu

Affiliation:	^a Department of Mathematics and Information Science, Yantai University, Yantai, 264005, PR China ^b School of Statistics and Mathematics, Shandong University of Finance and Economics, Jinan, 250014, PR China

Abstract:	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 H¹-norm are proved for these schemes. A numerical example is presented to confirm the estimates.

Keywords:	MMOC MMOCAA Finite volume element method Error estimates
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