A residual-type a posteriori error estimate of finite volume element method for a quasi-linear elliptic problem |
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| Authors: | Chunjia Bi Victor Ginting |
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| Affiliation: | 1. Department of Mathematics, Yantai University, 264005, Shandong, People’s Republic of China
2. Department of Mathematics, University of Wyoming, Laramie, WY, 82071, USA
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| Abstract: | In this paper, we analyze a residual-type a posteriori error estimator of the finite volume element method for a quasi-linear elliptic problem of nonmonotone type and derive computable upper and lower bounds on the error in the H 1-norm. Numerical experiments are provided to illustrate the performance of the proposed estimator. |
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