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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling
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A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling
Jörg Steinbach (Gebundene Ausgabe, Englisch)
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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 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 Studies and Research (caesar), for his encouragement and support. With this work I am fol lowing 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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.02.2002
Sprache
Englisch
EAN
9783764365820
Herausgeber
Springer Basel
Serien- oder Bandtitel
International Series of Numerical Mathematics
Sonderedition
Nein
Autor
Jörg Steinbach
Seitenanzahl
294
Einbandart
Gebundene Ausgabe
Schlagwörter
Approximation, finite element method, maximum principle, numerical analysis, partial differential equation, partial differential equations
Thema-Inhalt
PBKJ - Differentialrechnung und -gleichungen
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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