Space adaptive finite element methods for dynamic Signorini problems
Space adaptive finite element methods for dynamic Signorini problems
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DOI：
10.1007/s00466-009-0385-4
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发表时间：
2009-04
影响因子：
4.1
通讯作者：
H. Blum;A. Rademacher;A. Schröder
中科院分区：
文献类型：
--
作者：
H. Blum;A. Rademacher;A. Schröder
讨论了动态西诺里尼问题的空间自适应技术。离散采用时间上的Newmark方法和空间上的低阶有限元。对于空间中的整体离散化误差，基于混合形式的半离散问题，给出了后验误差估计。这种方法依赖于一个辅助问题，该问题采用变分方程的形式。采用基于该估计的自适应方法对有限元逼近进行改进。数值结果表明了该方法的有效性。
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.