A posteriori error estimate for a modified weak Galerkin method solving elliptic problems |
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| Authors: | Tie Zhang Tao Lin |
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| Affiliation: | 1. Department of Mathematics and the State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China;2. Department of Mathematics, Virginia Tech University, Virginia |
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| Abstract: | ![]()
A residual‐type a posteriori error estimator is proposed and analyzed for a modified weak Galerkin finite element method solving second‐order elliptic problems. This estimator is proven to be both reliable and efficient because it provides computable upper and lower bounds on the actual error in a discrete H1‐norm. Numerical experiments are given to illustrate the effectiveness of the this error estimator. © 2016 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 381–398, 2017 |
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| Keywords: | weak Galerkin method a posteriori error estimate error upper bound local lower bounds elliptic problem |
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