Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6915357 | Computer Methods in Applied Mechanics and Engineering | 2018 | 21 Pages |
Abstract
This paper introduces a hybrid a posteriori error estimator for the conforming finite element method, which may be regarded as a combination of the explicit residual and the improved ZZ error estimators. With comparable cost, the hybrid estimator is more accurate than the residual estimator. It is shown that the hybrid estimator is reliable on all meshes, unlike estimators of the ZZ type. Moreover, the reliability constant is independent of the jump of the diffusion coefficients for elliptic interface problems under the monotonicity assumption of the coefficients. Finally, numerical examples confirm the robustness of the estimator with respect to coefficient jumps and also better effectivity index compared to the residual estimator.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Difeng Cai, Zhiqiang Cai,