Remarks on a posteriori error estimation for finite element solutions

Remarks on a posteriori error estimation for finite element solutions
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DOI:
10.1016/j.cam.2005.07.031
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发表时间:
2007-02
影响因子:
2.4
通讯作者:
F. Kikuchi;H. Saito
F. Kikuchi;H. Saito
中科院分区:
数学2区
文献类型:
--
作者:
F. Kikuchi;H. Saito

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利用经典的超圆方法和最低阶Raviart-Thomas H(div)元得到了二维Poisson方程P1有限元解的后验误差估计.为了比较,还讨论了其他几种估计方法。我们给出了一些理论和数值结果,看看该方法的有效性。
We utilize the classical hypercircle method and the lowest-order Raviart–Thomas H(div) element to obtain a posteriori error estimates of the P1finite element solutions for 2D Poisson's equation. A few other estimation methods are also discussed for comparison. We give some theoretical and numerical results to see the effectiveness of the methods.