Jörg Steinbach

(Author)

A Variational Inequality Approach to Free Boundary Problems with Applications in Mould Filling (2002)Hardcover - 2002, 1 February 2002

A Variational Inequality Approach to Free Boundary Problems with Applications in Mould Filling (2002)
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Part of Series
International Numerical Mathematics
Part of Series
International Series of Numerical Mathematics
Print Length
294 pages
Language
English
Publisher
Birkhauser
Date Published
1 Feb 2002
ISBN-10
376436582X
ISBN-13
9783764365820

Description

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.

Product Details

Author:
Jörg Steinbach
Book Edition:
2002
Book Format:
Hardcover
Country of Origin:
US
Date Published:
1 February 2002
Dimensions:
23.39 x 15.6 x 1.91 cm
ISBN-10:
376436582X
ISBN-13:
9783764365820
Language:
English
Location:
Basel
Pages:
294
Publisher:
Weight:
607.81 gm

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