The GAMM Committee for "Efficient Numerical Methods for Partial Differential Equations" organises seminars on subjects concerning the algorithmic treatment of par tial differential equations. The topics are discretisation methods like the finite element and the boundary element method for various types of applications in structural and fluid mechanics. Particular attention is devoted to the advanced solution methods. The series of such seminars was continued in 1994, January 14-16, with the 10th Kiel-Seminar on the special topic Fast Solvers for Flow Problems at the Christian-Albrechts-University of Kiel. The seminar was attended by 100 scientist from 9 countries. 23 lectures were given, including two invited survey lectures. The central topic of most of the contributions are the Navier-Stokes equations. The authors discuss robust methods, parallel implementations, defect correction techniques, adaptive methods including error estimators, domain decompositions and FEM-BEM coupling. The invited lectures concern the hierarchical multigrid method for unstruc tured grids and structured adaptive finite-volume multigrid for compressible flows.

Autorentext

Arbeitsfeld des Autors: Diskretisierung partieller Differentialgleichungen, Diskretisierung von Integralgleichungen (Randelementmethoden), schnelle Lösung großer Gleichungssysteme, Mehrgittermethoden Auszeichnungen: Leibniz-Preis, Brouwer-Medaille

Inhalt
A Hierarchical Basis Multigrid Method for Unstructured Grids.- Structured Adaptive Finite-Volume Multigrid for Compressible Flows.- On the solution of nonlinear equations for nondifferentiable mappings.- Finite Element Solution of the Incompressible Navier-Stokes Equations on Anisotropically Refined Meshes.- Downwind Numbering : A Robust Multigrid Method for Convection-Diffusion Problems on Unstructured Grids.- A fast solver for gas flow networks.- On the Design of Piecewise Uniform Meshes for Solving Advection-Dominated Transport Equations to a Prescribed Accuracy.- Numerical Simulation of Three-dimensional Non-stationary Compressible Flow in Complex Geometries.- On the Numerical Simulation of Coupled Transient Problems on MIMD Parallel Systems.- Fast solvers for coupled FEM-BEM equations I.- Numerical Simulations of Compressible Navier-Stokes Equations with Nonequilibrium Chemistry.- Preconditioned CG - Like Methods and Defect Correction for Solving Steady Incompressible Navier - Stokes Equations.- A Domain Decomposition Method for Singularly Perturbed Elliptic Problems.- A parallel subspace decomposition method for elliptic and hyperbolic systems.- Implicit Time-Discretization of the Nonstationary Incompressible Navier-Stokes Equations.- Experiences with a parallel multiblock multigrid solution technique for the Euler equations.- A Coupled Algebraic Multigrid Method for the 3D Navier-Stokes Equations.- Robust Multigrid Methods for the Incompressible Navier-Stokes Equations.- A new robust multigrid method for 2D convection-diffusion problems.- Adapting Meshes by Deformation Numerical Examples and Applications.- Multigrid Convergence Rates of a Sequential and a Parallel Navier-Stokes Solver.- Parallel Iterative Solvers for Symmetric Boundary Element Domain Decomposition Methods.- The Equivalence of A Posteriori Error Estimators.