Lectures on Applied Mathematics

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.

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

Autorentext
Dr. Hans-Joachim Bungartz ist Referent des Bayerischen Forschungsverbunds für technisch-wissenschaftliches Hochleistungsrechnen (FORTWIHR). Prof. Dr. Christoph Zenger ist Ordinarius für Ingenieuranwendungen in der Informatik und numerische Programmierung am Institut für Informatik der TU München.

Klappentext

This volume contains the proceedings of an international symposium on applied and computational mathematics held in Munich in July 1999 and organized by the Collaborative Research Centre "Mathematical Modelling, Simulation, and Verification in Material-Orientated Processes and Intelligent Systems" (SFB 438) on the occasion of Karl-Heinz Hoffmann's 60th birthday.BRThe 19 contributions from both members of the SFB and invited experts in mathematical modelling and numerical simulation cover various topics from scientific computing, ranging from numerical linear algebra to fields of applications such as turbulent flows, free boundaries, phase transitions, shape memory alloys, and others.

Inhalt
I Invited Contributions.- Pure, Applied, and Industrial Mathematics: Strength Through Connections.- On H2-Matrices.- On the Stability of Microstructure for General Martensitic Transformations.- Dissipative Evolution of Microstructure in Shape Memory Alloys.- A Phase Diagram of Integration and Segregation in a Population of Hawks and Doves.- Existence and Asymptotic Behaviour in Phase-Field Models with Hysteresis.- On a New Class of Nonlocal Unilateral Problems in Thermomechanics.- Dynamics of Diffusive Phase Transitions Driven by Coupled Mechanisms.- Free Boundary Problems and their Stabilisation.- A New Model for the Dynamics of Dispersions in a Batch Reactor.- Optimal Control Problems for the Navier-Stokes Equations.- Structural Identification of Nonlinear Coefficient Functions in Transport Processes through Porous Media.- II Contributions from the SFB 438.- Development of Innovative Osteosynthesis Techniques by Numerical and In Vitro Simulation of the Masticatory System.- Rate Independent Hysteresis.- The Oxidation Process of Silicon.- The Growth of Vapor Deposited Amorphous Zr5Al.5Cu27.5-Alloy Films: Experiment and Simulation.- Modelling, Simulation, and Control of Electrorheological Fluid Devices.- Direct Numerical Simulation of Turbulent Channel Flow of a Viscous Anisotropic Fluid.- Numerical Simulation and Experimental Studies of the Fluid-Dynamic Behaviour of Rising Bubbles in Stagnant and Flowing Liquids.