A POSTERIORI ERROR ESTIMATES OF A NON-CONFORMING FINITE ELEMENT METHOD FOR PROBLEMS WITH ARTIFICIAL BOUNDARY CONDITIONS *
A POSTERIORI ERROR ESTIMATES OF A NON-CONFORMING FINITE ELEMENT METHOD FOR PROBLEMS WITH ARTIFICIAL BOUNDARY CONDITIONS *
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DOI：
10.4208/jcm.2009.09-m2608
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发表时间：
2009
影响因子：
0.9
通讯作者：
Xianmin Xu;Zhiping Li
中科院分区：
文献类型：
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作者：
Xianmin Xu;Zhiping Li
通过应用非局部近似人工边界条件，得到了由相应的无界区域问题导出的线性椭圆型问题的非协调单元逼近的后验误差估计。我们的方法可以很容易地推广到获得具有不同人工边界条件的问题的各种协调和非协调有限元逼近的一类后验误差估计。严格证明了后验误差估计器的可靠性和有效性，并用数值算例进行了验证。
An a posteriori error estimator is obtained for a nonconforming flnite element approximation of a linear elliptic problem, which is derived from a corresponding unbounded domain problem by applying a nonlocal approximate artiflcial boundary condition. Our method can be easily extended to obtain a class of a posteriori error estimators for various conforming and nonconforming flnite element approximations of problems with difierent artiflcial boundary conditions. The reliability and e‐ciency of our a posteriori error estimator are rigorously proved and are verifled by numerical examples.