Hybrid finite element methods for the Signorini problem
Hybrid finite element methods for the Signorini problem
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DOI：
10.1090/s0025-5718-03-01490-x
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发表时间：
2003-07
期刊：
影响因子：
--
通讯作者：
F. B. Belgacem;Y. Renard
中科院分区：
文献类型：
--
作者：
F. B. Belgacem;Y. Renard
研究了三种混合线性有限元方法对二维Signorini问题的数值模拟。将福尔克引理和鞍点理论应用于所得的离散混合变分不等式，使我们能够说明它们各自的收敛速度。其中两个有限元在Signorini解的合理正则性假设下提供了最佳结果，数值研究表明，第三种方法也提供了最佳精度。
We study three mixed linear finite element methods for the numerical simulation of the two-dimensional Signorini problem. Applying Falk's Lemma and saddle point theory to the resulting discrete mixed variational inequality allows us to state the convergence rate of each of them. Two of these finite elements provide optimal results under reasonable regularity assumptions on the Signorini solution, and the numerical investigation shows that the third method also provides optimal accuracy.