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A posteriori error estimates of two-grid finite volume element methods for nonlinear elliptic problems |
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| Authors: | Chuanjun Chen Yanping Chen Xin Zhao |
| Affiliation: | 1. School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, China;2. School of Mathematics and Information Sciences, Yantai University, Yantai, 264005, China;3. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China |
| Abstract: | 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 -norm. The a posteriori error estimator can be used to assess the accuracy of the two-grid finite volume element solutions in practical applications. Numerical examples are provided to illustrate the performance of the proposed estimator. |
| Keywords: | A posteriori error estimates Finite volume element method Two-grid Nonlinear elliptic equations |
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