A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2002
|
| Schriftenreihe: | International Series of Numerical Mathematics
136 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-3-0348-7597-4 |
| Beschreibung: | 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 unknown) boundary problems originating from engineering and economic applications can directly, or after a transformation, be formulated as variational inequalities. 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 Studies and Research (caesar), for his encouragement and support. With this work I am following a general concept of Applied Mathematics to which he directed my interest and which, based on application problems, comprises mathematical modelling, mathematical and numerical analysis, computational aspects and visualization of simulation results |
| Umfang: | 1 Online-Ressource (X, 294 p) |
| ISBN: | 9783034875974 9783034875998 |
| DOI: | 10.1007/978-3-0348-7597-4 |
Internformat
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| 500 | |a 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 unknown) boundary problems originating from engineering and economic applications can directly, or after a transformation, be formulated as variational inequalities. 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 Studies and Research (caesar), for his encouragement and support. With this work I am following a general concept of Applied Mathematics to which he directed my interest and which, based on application problems, comprises mathematical modelling, mathematical and numerical analysis, computational aspects and visualization of simulation results | ||
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Datensatz im Suchindex
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| discipline | Mathematik |
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| id | DE-604.BV042421944 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:45Z |
| institution | BVB |
| isbn | 9783034875974 9783034875998 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857361 |
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| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Birkhäuser Basel |
| record_format | marc |
| series | International Series of Numerical Mathematics |
| series2 | International Series of Numerical Mathematics |
| spellingShingle | Steinbach, Jörg A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling International Series of Numerical Mathematics Mathematics Differential equations, partial Partial Differential Equations Mathematik Mathematisches Modell (DE-588)4114528-8 gnd Spritzgießen (DE-588)4056561-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Variationsungleichung (DE-588)4187420-1 gnd Freies Randwertproblem (DE-588)4155303-2 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4056561-0 (DE-588)4044779-0 (DE-588)4187420-1 (DE-588)4155303-2 |
| title | A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling |
| title_auth | A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling |
| title_exact_search | A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling |
| title_full | A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling by Jörg Steinbach |
| title_fullStr | A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling by Jörg Steinbach |
| title_full_unstemmed | A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling by Jörg Steinbach |
| title_short | A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling |
| title_sort | a variational inequality approach to free boundary problems with applications in mould filling |
| topic | Mathematics Differential equations, partial Partial Differential Equations Mathematik Mathematisches Modell (DE-588)4114528-8 gnd Spritzgießen (DE-588)4056561-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Variationsungleichung (DE-588)4187420-1 gnd Freies Randwertproblem (DE-588)4155303-2 gnd |
| topic_facet | Mathematics Differential equations, partial Partial Differential Equations Mathematik Mathematisches Modell Spritzgießen Partielle Differentialgleichung Variationsungleichung Freies Randwertproblem |
| url | https://doi.org/10.1007/978-3-0348-7597-4 |
| volume_link | (DE-604)BV022447306 |
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