| 期刊全稱 | A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling | | 影響因子2023 | J?rg Steinbach | | 視頻video | http://file.papertrans.cn/143/142564/142564.mp4 | | 學科分類 | International Series of Numerical Mathematics | | 圖書封面 |  | | 影響因子 | Since the early 1960s, the mathematical theory of variational inequalities has been under rapid development, based on complex analysis and strongly influenced by ‘real-life‘ application. Many, but of course not all, moving free (Le. , a priori un- known) boundary problems originating from engineering and economic applica- tions can directly, or after a transformation, be formulated as variational inequal- ities. In this work we investigate an evolutionary variational inequality with a memory term which is, as a fixed domain formulation, the result of the application of such a transformation to a degenerate moving free boundary problem. This study includes mathematical modelling, existence, uniqueness and regularity results, numerical analysis of finite element and finite volume approximations, as well as numerical simulation results for applications in polymer processing. Essential parts of these research notes were developed during my work at the Chair of Applied Mathematics (LAM) of the Technical University Munich. I would like to express my sincerest gratitude to K. -H. Hoffmann, the head of this chair and the present scientific director of the Center of Advanced European Studie | | Pindex | Book 2002 |
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