An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem

• 作者: Fuzheng Gao Ning Du Yirang Yuan
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Nonlinear CONVECTION-DIFFUSION TETRAHEDRON PARTITION ERROR ESTIMATES
• 年，卷（期）: 2011,（4）
• 页码范围: 264-270
• 页数: 7页
• 分类号: O1

摘要

A class of upwind finite volume element method based on tetrahedron partition is put forward for a nonlinear convection diffusion problem. Some techniques, such as calculus of variations, commutating operators and the a priori estimate, are adopted. The a priori error estimate in L2-norm and H1-norm is derived to determine the error between the approximate solution and the true solution.