General approach for a posteriori error estimates for finite element solutions of variational inequalities

被引：0
|
作者：
F.-T. Suttmeier
机构：
[1] Universität Dortmund,
[2] Fachbereich Mathematik,undefined
[3] Vogelpothsweg 87,undefined
[4] 44221 Dortmund,undefined
[5] Germany,undefined
来源：
Computational Mechanics | 2001年 / 27卷
关键词：
Error Estimate; Variational Inequality; Variational Equality; Element Solution; Posteriori Error;
D O I：
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中图分类号：
学科分类号：
摘要：
  A general approach for a posteriori error estimates for finite element solutions of variational inequalities is proposed. The ideas are based on the experiences in Blum and Suttmeier [3, 4]. The bounds for controlling arbitrary functionals of the discretisation error are constructed by using a duality argument, similar to the concept proposed, e.g., in Becker and Rannacher [2] for variational equalities. The application of the abstract framework is illustrated at a plasticity, the obstacle and Signorini's problem.
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页码：317 / 323
页数：6
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