| 书目名称 | Numerical solution of Variational Inequalities by Adaptive Finite Elements |
| 编辑 | Franz-Theo Suttmeier |
| 视频video | |
| 丛书名称 | Advances in Numerical Mathematics |
| 图书封面 |  |
| 描述 | This work describes a general approach to a posteriori error estimation and adaptive mesh design for ?nite element models where the solution is subjected to inequality constraints. This is an extension to variational inequalities of the so-called Dual-Weighted-Residual method (DWR method) which is based on a variational formulation of the problem and uses global duality arguments for deriving weighted a posteriori error estimates with respect to arbitrary functionals of the error. In these estimates local residuals of the computed solution are multiplied by sensitivity factors which are obtained from a - merically computed dual solution. The resulting local error indicators are used in a feed-back process for generating economical meshes which are tailored - cording to the particular goal of the computation. This method is developed here for several model problems. Based on these examples, a general concept is proposed, which provides a systematic way of adaptive error control for problems stated in form of variational inequalities. F¨ ur Alexandra, Katharina und Merle Contents 1 Introduction 1 2 Models in elasto-plasticity 13 2. 1 Governing equations . . . . . . . . . . . . . . . |
| 出版日期 | Book 2008 |
| 关键词 | A Posteriori Fehlerschätzung; A Priori Fehlerschätzung; Adaptivität; Finite; Finite-Elemente-Methode; Var |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-8348-9546-2 |
| isbn_softcover | 978-3-8348-0664-2 |
| isbn_ebook | 978-3-8348-9546-2Series ISSN 1616-2994 |
| issn_series | 1616-2994 |
| copyright | Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 2008 |
发表于 2025-3-21 19:23:19
