Adaptive finite elements for a certain class of variational inequalities of second kind
Adaptive finite elements for a certain class of variational inequalities of second kind
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DOI：
10.1007/s10092-011-0040-2
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发表时间：
2011-12
期刊：
影响因子：
1.7
通讯作者：
D. Hage;N. Klein;F. Suttmeier
中科院分区：
文献类型：
--
作者：
D. Hage;N. Klein;F. Suttmeier
本文将第一类椭圆型变分不等式的有限元Galerkin格式推广到第二类椭圆型变分不等式的有限元Galerkin格式。特别是对一个简单的摩擦问题和一个Bingham流体模型流动问题进行了相应的后验误差分析，从这些例子中总结经验，我们提出了一个框架来推导在抽象的第二类椭圆变分问题中给定的一类问题的后验误差估计，数值例子和检验证实了我们的理论结果.
In this note, we extend our studies on finite element Galerkin schemes for elliptic variational inequalities of first to the one of second kind. Especially we perform the corresponding a posteriori error analysis for a simple friction problem and a model flow of a Bingham fluid.Collecting the experiences from these examples, we propose a framework for deriving a posteriori error estimates for a certain class of problems given in an abstract setting describing elliptic variational problems of second kind.Numerical examples and tests confirm our theoretical results.