Publications
Sort:
Issue
Numerical Comparison of Two Stabilized Mixed Finite Element Methods for Convection-Diffusion-Equations on Surfaces
Journal of Xinjiang University(Natural Science Edition in Chinese and English) 2022, 39(3): 266-274,282
Published: 01 May 2022
Abstract PDF (1.8 MB) Collect
Downloads:15

In this paper, the finite element approximation of the convection-diffusion-reaction equation on surfaces is studied. By introducing middle variables of different forms, the original equation is transformed into the equivalent, first-order mixed form. Using the idea of mixed finite element, this paper directly uses the mixed stabilization method of low order finite element pair(P1-P1) approximation. The method not only satisfies the well-posed condition, but also can effectively capture the non-physical oscillation caused by convective dominance. Finally, the numerical results show that the convergence results are consistent with the known theory.

Total 1