A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation

作者：Lin Tao; Ye Xiu^*

来源：Journal of Computational and Applied Mathematics, 2013, 254: 185-191.

DOI：10.1016/j.cam.2013.03.007

• Finite volume methods
• Bilinear finite elements
• Posteriori error estimate
• Elliptic problems

This paper is concerned with a residual type a posteriori error estimators for a finite volume method for the second order elliptic equation. Bilinear functions are used as trial functions in this finite volume method. Reliability and efficiency bounds for the error estimator are established. Numerical examples are provided to confirm the theory.

• 出版日期2013-12-15
• 单位Virginia Tech; 美国弗吉尼亚理工大学(Virginia Tech)