A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling
A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling

Author: Jörg Steinbach

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 297

ISBN-13: 3034875975

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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 term and time-dependent convex constraint sets. 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.

Free Boundary Problems, Theory and Applications
Free Boundary Problems, Theory and Applications

Author: Marek Niezgodka

Publisher: CRC Press

Published: 1996-11-25

Total Pages: 462

ISBN-13: 9780582305939

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Addressing various aspects of nonlinear partial differential equations, this volume contains papers and lectures presented at the Congress on Free boundary Problems, Theory and Application held in Zakopane, Poland in 1995. Topics include existence, uniqueness, asymptotic behavior, and regularity of solutions and interfaces.

Multiscale Modeling in Epitaxial Growth
Multiscale Modeling in Epitaxial Growth

Author: Axel Voigt

Publisher: Springer Science & Business Media

Published: 2005-04-20

Total Pages: 256

ISBN-13: 9783764372088

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Epitaxy is relevant for thin film growth and is a very active area of theoretical research since several years. Recently powerful numerical techniques have been used to link atomistic effects at the film's surface to its macroscopic morphology. This book also serves as an introduction into this highly active interdisciplinary field of research for applied mathematicians, theoretical physicists and computational materials scientists.

Modelling, Simulation and Optimization of Integrated Circuits
Modelling, Simulation and Optimization of Integrated Circuits

Author: Kurt Antreich

Publisher: Springer Science & Business Media

Published: 2003

Total Pages: 386

ISBN-13: 9783764321925

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In November 2001 the Mathematical Research Center at Oberwolfach, Germany, hosted the third Conference on Mathematical Models and Numerical Simulation in Electronic Industry. It brought together researchers in mathematics, electrical engineering and scientists working in industry.The contributions to this volume try to bridge the gap between basic and applied mathematics, research in electrical engineering and the needs of industry.

Domain Decomposition Methods in Optimal Control of Partial Differential Equations
Domain Decomposition Methods in Optimal Control of Partial Differential Equations

Author: John E. Lagnese

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 454

ISBN-13: 3034878850

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While domain decomposition methods have a long history dating back well over one hundred years, it is only during the last decade that they have become a major tool in numerical analysis of partial differential equations. This monograph emphasizes domain decomposition methods in the context of so-called virtual optimal control problems and treats optimal control problems for partial differential equations and their decompositions using an all-at-once approach.