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Lectures on Applied Mathematics

Proceedings of the Symposium Organized by the Sonderforschungsbereich 438 on the Occasion of Karl-Heinz Hoffmann’s 60th Birthday, Munich, June 30 – July 1, 1999

  • Conference proceedings
  • © 2000

Overview

Editors:
  1. Hans-Joachim Bungartz

    1. Institut für Informatik, Technische Universität München, München, Germany

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  2. Ronald H. W. Hoppe

    1. Institut für Mathematik, Universität Augsburg, Augsburg, Germany

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  3. Christoph Zenger

    1. Institut für Informatik, Technische Universität München, München, Germany

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  • Interdisciplinary book on current topic in the intersection of mathematics and material science

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Table of contents (19 papers)

  1. Front Matter

    Pages I-X
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  2. Invited Contributions

    1. Front Matter

      Pages 1-1
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    2. Pure, Applied, and Industrial Mathematics: Strength Through Connections

      • A. Friedman
      Pages 3-8

    3. On H 2-Matrices

      • W. Hackbusch, B. Khoromskij, S. A. Sauter
      Pages 9-29

    4. On the Stability of Microstructure for General Martensitic Transformations

      • M. Luskin
      Pages 31-43

    5. Dissipative Evolution of Microstructure in Shape Memory Alloys

      • T. Roubíček
      Pages 45-63

    6. A Phase Diagram of Integration and Segregation in a Population of Hawks and Doves

      • I. Müller
      Pages 65-75

    7. Existence and Asymptotic Behaviour in Phase-Field Models with Hysteresis

      • P. Krejčí, J. Sprekels, S. Zheng
      Pages 77-88

    8. On a New Class of Nonlocal Unilateral Problems in Thermomechanics

      • J.-F Rodrigues
      Pages 89-101

    9. Dynamics of Diffusive Phase Transitions Driven by Coupled Mechanisms

      • M. Niezgódka
      Pages 103-107

    10. Free Boundary Problems and their Stabilisation

      • J. R. Ockendon
      Pages 109-122

    11. A New Model for the Dynamics of Dispersions in a Batch Reactor

      • A. Fasano, F. Rosso
      Pages 123-141

    12. Optimal Control Problems for the Navier-Stokes Equations

      • A. Fürsikov, M. Gunzburger, L. S. Hou, S. Manservisi
      Pages 143-155

    13. Structural Identification of Nonlinear Coefficient Functions in Transport Processes through Porous Media

      • P. Knabner, B. Igler
      Pages 157-175

  3. Contributions from the SFB 438

    1. Front Matter

      Pages 177-177
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    2. Development of Innovative Osteosynthesis Techniques by Numerical and In Vitro Simulation of the Masticatory System

      • A. Neff, A. Kuhn, H. Schieferstein, A. M. Hinz, E. Wilczok, G. Mühlberger et al.
      Pages 179-205

    3. Rate Independent Hysteresis

      • M. Brokate
      Pages 207-216

    4. The Oxidation Process of Silicon

      • W. Merz
      Pages 217-231

    5. The Growth of Vapor Deposited Amorphous Zr65Al7.5Cu27.5-Alloy Films: Experiment and Simulation

      • S. G. Mayr, M. Moske, K. Samwer
      Pages 233-250

    6. Modelling, Simulation, and Control of Electrorheological Fluid Devices

      • R. H. W. Hoppe, G. Mazurkevitch, U. Rettig, O. von Stryk
      Pages 251-276
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Keywords

About this book

When the DFG (Deutsche Forschungsgemeinschaft) launched its collabora­ tive research centre or SFB (Sonderforschungsbereich) 438 "Mathematical Modelling, Simulation, and Verification in Material-Oriented Processes and Intelligent Systems" in July 1997 at the Technische Vniversitat Munchen and at the Vniversitat Augsburg, southern Bavaria got its second nucleus of the still young discipline scientific computing. Whereas the first and older one, FORTWIHR, the Bavarian Consortium for High Performance Scientific Com­ puting, had put its main emphasis on the supercomputing aspect, this new initiative was now expected to focus on the mathematical part. Consequently, throughout all of the five main research topics (A) adaptive materials and thin layers, (B) adaptive materials in medicine, (C) robotics, aeronautics, and automobile technology, (D) microstructured devices and systems, and (E) transport processes in flows, mathematical aspects play a predominant role. The formation of the SFB 438 and its scientific program are inextricably linked with the name of Karl-Heinz Hoffmann. As full professor for applied mathematics in Augsburg (1981-1991) and in Munchen (since 1992) and as dean of the faculty of mathematics at the TV Munchen, he was the driv­ ing force of this fascinating, but not always easy-to-realize idea of bringing together scientists from mathematics, physics, engineering, informatics, and medicine for joint efforts in modern applied mathematics. However, scarcely work had begun when the successful captain was called to take command on a bigger boat.

Editors and Affiliations

  • Institut für Informatik, Technische Universität München, München, Germany

    Hans-Joachim Bungartz, Christoph Zenger

  • Institut für Mathematik, Universität Augsburg, Augsburg, Germany

    Ronald H. W. Hoppe

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