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A Variational Inequality Approach to Free Boundary Problems With Applications in Mould Filling - Couverture rigide
Synopsis
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.
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A Variational Inequality Approach to Free Boundary Problems with Applications in Mould Filling.
Edité par
Basel Birkhäuser Verlag AG, 2002
ISBN 10 : 376436582X
ISBN 13 : 9783764365820
Ancien ou d'occasion
Couverture rigide
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Gebunden. Etat : Gut. Gebraucht - Gut Zustand: Gut, Mängelexemplar, X, 294 pp. N° de réf. du vendeur 16869
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A Variational Inequality Approach to Free Boundary Problems with Applications in Mould Filling.
Edité par
Birkhäuser, 2002
ISBN 10 : 376436582X
ISBN 13 : 9783764365820
Ancien ou d'occasion
Couverture rigide
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Hardcover. 294 S. Ex-library with stamp and library-signature in good condition, some traces of use. C-03934 9783764365820 Sprache: Englisch Gewicht in Gramm: 1050. N° de réf. du vendeur 2489868
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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 (International Series of Numerical Mathematics, 136)
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A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling (Hardcover)
Edité par
Birkhauser Verlag AG, Basel, 2002
ISBN 10 : 376436582X
ISBN 13 : 9783764365820
Neuf
Couverture rigide
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Hardcover. Etat : new. Hardcover. This monograph is devoted to the study of an evolutionary variational inequality approach to a degenerate moving free-boundary problem. The inequality approach of obstacle type results from the applications of an integral transformation. It takes an intermediate position between elliptic and parabolic inequalities and comprises an elliptic differential operator, a memory term and time-dependent convex constraint sets. The study of such inequality problems is motivated by applications to injection and compression moulding, to electro-chemical machining and other quasi-stationary Stefan type problems. The mathematical analysis of the problem covers existence, uniqueness, regularity and time evolution of the solution. This is carried out in the framework of the variational inequality theory. The numerical solution in two and three space dimensions is discussed using both finite element and finite volume approximations. Finally, a description of injection and compression moulding is presented in terms of different mathematical models, a generalized Hele-Shaw flow, a distance concept and Navier-Stokes flow.This volume is primarily addressed to applied mathematicians working in the field of non-linear partial differential equations and their applications, especially those concerned with numerical aspects. However, the book should also be useful for scientists from the application areas - in particular, applied scientists from engineering and physics. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783764365820
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A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling (International Series of Numerical Mathematics, 136)
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A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling (International Series of Numerical Mathematics, 136)
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A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling
Edité par
Birkhäuser Basel, 2002
ISBN 10 : 376436582X
ISBN 13 : 9783764365820
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This monograph studies an evolutionary variational inequality approach to a degenerate moving free boundary problem. It takes an intermediate position between elliptic and parabolic inequalities and comprises an elliptic differential operator, a memory t. N° de réf. du vendeur 5279451
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A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 308. N° de réf. du vendeur 26355101
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A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling
Edité par
Springer, Basel, Birkhäuser Basel, Birkhäuser Feb 2002, 2002
ISBN 10 : 376436582X
ISBN 13 : 9783764365820
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 294 pp. Englisch. N° de réf. du vendeur 9783764365820
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