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.

Includes supplementary material: sn.pub/extras

Klappentext

This book is a collection of conference proceedings mainly concerned with the problem class of nonlinear transport/diffusion/reaction systems, chief amongst these being the Navier-Stokes equations, porous-media flow problems and semiconductor-device equations. Of particular interest are unsolved problems which challenge open questions from applications and assess the various numerous methods used to treat them. A fundamental aim is to raise the overall awareness of a broad range of topical issues in scientific computing and numerical analysis, including multispecies/multiphysics problems, discretisation methods for nonlinear systems, mesh generation, adaptivity, linear algebraic solvers and preconditioners, and portable parallelisation.

Inhalt
Higher Order Discontinuous Galerkin Methods for Flow and Transport in Porous Media.- Macroscopic Models of Fluids with Microstructure.- The Fictitious Boundary Method for the Implicit Treatment of Dirichlet Boundary Conditions with Applications to Incompressible Flow Simulations.- Numerical Simulation of Three Dimensional Free Surface Flows with Bubbles.- A Computational Comparison of Two FEM Solvers for Nonlinear Incompressible Flow.- Algebraic Multigrid for Industrial Semiconductor Device Simulation.- Simulation of Microwave and Semiconductor Laser Structures Including Absorbing Boundary Conditions.- Finite Element Methods for Coupled Problems in Ferrohydrodynamics.- Iterative Substructuring Methods for Advection Diffusion Problems in Heterogeneous Media.- Efficient Preconditioning of Linear Systems Arising from the Discretization of Radiative Transfer Equation.- On Using Common Lisp for Scientific Computing.- The Discontinuous Galerkin Finite Element Method for Singularly Perturbed Problems.- Black-Box Preconditioning for Mixed Formulation of Self-Adjoint Elliptic PDEs.- Author Index.