A new combined finite element-upwind finite volume method for convection-dominated diffusion problems

作者：Wang, Cheng; He, Mingyan^*; Sun, Pengtao

来源：Numerical Methods for Partial Differential Equations, 2016, 32(3): 799-818.

DOI：10.1002/num.22027

• convection-dominated
• high-order accuracy
• numerical experiments
• stability
• weighted upwind finite volume method

In this article, we develop a combined finite element-weighted upwind finite volume method for convection-dominated diffusion problems in two dimensions, which discretizes the diffusion term with the standard finite element scheme, and the convection and source terms with the weighted upwind finite volume scheme. The developed method leads to a totally new scheme for convection-dominated problems, which overcomes numerical oscillation, avoids numerical dispersion, and has high-order accuracy. Stability analyses of the scheme are given for the problems with constant coefficients. Numerical experiments are presented to illustrate the stability and optimal convergence of our proposed method.

• 出版日期2016-5
• 单位同济大学; 杭州电子科技大学