Challenges in Scientific Computing - CISC 2002

1. Front Matter

   Pages I-VIII

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2. Higher Order Discontinuous Galerkin Methods for Flow and Transport in Porous Media

   • Peter Bastian

   Pages 1-22

3. Macroscopic Models of Fluids with Microstructure

   • Noel J. Walkington

   Pages 23-36

4. The Fictitious Boundary Method for the Implicit Treatment of Dirichlet Boundary Conditions with Applications to Incompressible Flow Simulations

   • Stefan Turek, Decheng Wan, Liudmila S. Rivkind

   Pages 37-68

5. Numerical Simulation of Three Dimensional Free Surface Flows with Bubbles

   • Alexandre Caboussat, Vincent Maronnier, Marco Picasso, Jacques Rappaz

   Pages 69-86

6. A Computational Comparison of Two FEM Solvers for Nonlinear Incompressible Flow

   • Jaroslav Hron, Abderrahim Ouazzi, Stefan Turek

   Pages 87-109

7. Algebraic Multigrid for Industrial Semiconductor Device Simulation

   • Tanja Clees, Klaus Stüben

   Pages 110-130

8. Simulation of Microwave and Semiconductor Laser Structures Including Absorbing Boundary Conditions

   • Georg Hebermehl, Friedrich Karl Hübner, Rainer Schlundt, Thorsten Tischler, Horst Zscheile, Wolfgang Heinrich

   Pages 131-159

9. Finite Element Methods for Coupled Problems in Ferrohydrodynamics

   • Olga Lavrova, Gunar Matthies, Teodora Mitkova, Viktor Polevikov, Lutz Tobiska

   Pages 160-183

10. Iterative Substructuring Methods for Advection — Diffusion Problems in Heterogeneous Media

    • Paolo Zunino

    Pages 184-210

11. Efficient Preconditioning of Linear Systems Arising from the Discretization of Radiative Transfer Equation

    • Mohammed Seaïd, Axel Klar

    Pages 211-236

12. On Using Common Lisp for Scientific Computing

    • Nicolas Neuss

    Pages 237-245

13. The Discontinuous Galerkin Finite Element Method for Singularly Perturbed Problems

    • Hans-Görg Roos, Helena Zarin

    Pages 246-267

14. Black-Box Preconditioning for Mixed Formulation of Self-Adjoint Elliptic PDEs

    • Catherine Powell, David Silvester

    Pages 268-285

15. Back Matter

    Pages 287-293

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The conference Challenges In Scientific Computing (CISC 2002) took place from October, 2 to 5, 2002. The hosting institution was the Weierstrass Insti­ tute for Applied Analysis and Stochastics (WIAS) in Berlin, Germany. The main purpose of this meeting was to draw together researchers working in the fields of numerical analysis and scientific computing with a common interest in the numerical treatment and the computational solution of systems of nonlinear partial differential equations arising from applications of physical and engineering problems. The main focus of the conference was on the problem class of non­ linear transport/diffusion/reaction systems, chief amongst these being: the Navier-Stokes equations, semiconductor-device equations and porous media­ flow problems. The emphasis was on unsolved problems, challenging open questions from applications and assessing the various numerical methods used to handle them, rather than concentrate on accurate results from "solved" problems. Thanks to the participants it was an interesting meeting. The presentations stimulated exchanging ideas and lively discussions. This proceedings comprises 13 papers form the conference, ranging from numerical methods for flow problems, multigrid methods, semiconductor and microwave simulation, solution methods, finite element analysis to software aspects. This interesting conference would not have been possible without the help of the staff of the WIAS. I thank all participants, and all our supporters, especially those not onstage, for making the conference a success.

• Navier-Stokes equations
• mathematics
• nonlinear partial differential equations
• numerical mathematics
• partial differential equation
• porous media-flow problems
• scientific computing
• semiconductor-device equations
• partial differential equations

• Weierstrass-Institut für AngewandteAnalysis und Stochastik, Berlin, Germany

  Eberhard Bänsch

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