A posterior error estimates of two-grid finite volume element methods for nonlinear elliptic problems

作者：Chen, Chuanjun; Chen, Yanping^*; Zhao, Xin

来源：Computers & Mathematics with Applications, 2018, 75(5): 1756-1766.

DOI：10.1016/j.camwa.2017.11.035

• A posteriori error estimates
• Finite volume element method
• Two-grid
• Nonlinear elliptic equations

In this paper, we study the a posteriori error estimates of two-grid finite volume element method for second-order nonlinear elliptic equations. We, derive the residual-based a posteriori error estimator and prove the computable upper and lower bounds on the error in H-1-norm. The a posteriori error estimator can be used to assess the accuracy of the two grid finite volume element solutions in practical applications.

• 出版日期2018-3-1
• 单位烟台大学; 湘潭大学