Space adaptive finite element methods for dynamic Signorini problems

被引：9
作者：
Blum, Heribert [1 ]
Rademacher, Andreas [1 ]
Schroeder, Andreas [2 ]
机构：
[1] Tech Univ Dortmund, Inst Appl Math, D-44221 Dortmund, Germany
[2] Humboldt Univ, Dept Math, D-10099 Berlin, Germany
来源：
COMPUTATIONAL MECHANICS | 2009年 / 44卷 / 04期
关键词：
Dynamic Signorini problem; A posteriori error estimation; Mesh refinement; Finite element method; POSTERIORI ERROR ESTIMATORS; CONTACT PROBLEMS; CONSERVING ALGORITHMS; TIME; FORMULATION;
D O I：
10.1007/s00466-009-0385-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Space adaptive techniques for dynamic Signorini problems are discussed. For discretisation, the Newmark method in time and low order finite elements in space are used. For the global discretisation error in space, an a posteriori error estimate is derived on the basis of the semi-discrete problem in mixed form. This approach relies on an auxiliary problem, which takes the form of a variational equation. An adaptive method based on the estimate is applied to improve the finite element approximation. Numerical results illustrate the performance of the presented method.
引用
收藏
页码：481 / 491
页数：11
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