The GAMM Committee for "Efficient Numerical Methods for Partial Differential Equations" organizes workshops on subjects concerning the algorithmical treat- ment of partial differential equations. The topics are discretization methods like the finite element and finite volume method for various types of applications in structural and fluid mechanics. Particular attention is devoted to advanced solu- tion techniques. th The series of such workshops was continued in 1993, January 22-24, with the 9 Kiel-Seminar on the special topic "Adaptive Methods Algorithms, Theory and Applications" at the Christian-Albrechts-University of Kiel. The seminar was attended by 76 scientists from 7 countries and 23 lectures were given. The list of topics contained general lectures on adaptivity, special discretization schemes, error estimators, space-time adaptivity, adaptive solvers, multi-grid me- thods, wavelets, and parallelization. Special thanks are due to Michael Heisig, who carefully compiled the contribu- tions to this volume. November 1993 Wolfgang Hackbusch Gabriel Wittum v Contents Page A. AUGE, G. LUBE, D. WEISS: Galerkin/Least-Squares-FEM and Ani- tropic Mesh Refinement. 1 P. BASTIAN, G.
WmUM : Adaptive Multigrid Methods: The UG Concept. 17 R. BEINERT, D. KRONER: Finite Volume Methods with Local Mesh Alignment in 2-D. 38 T. BONK: A New Algorithm for Multi-Dimensional Adaptive Nume- cal Quadrature. 54 F. A. BORNEMANN: Adaptive Solution of One-Dimensional Scalar Conservation Laws with Convex Flux. 69 J. CANU, H. RITZDORF : Adaptive, Block-Structured Multigrid on Local Memory Machines. 84 S. DAHLKE, A. KUNaTH: Biorthogonal Wavelets and Multigrid. 99 B. ERDMANN, R. H. W. HOPPE, R.
Adaptive Methods - Algorithms, Theory and Applications: Proceedings of the Ninth GAMM-Seminar Kiel, January 22-24, 1993
Galerkin/Least-Squares-FEM and Anisotropic Mesh Refinement.- Adaptive Multigrid Methods: The UG Concept.- Finite Volume Methods with Local Mesh Alignment in 2-D.- A New Algorithm for Multi-Dimensional Adaptive Numerical Quadrature.- Adaptive Solution of One-Dimensional Scalar Conservation Laws with Convex Flux.- Adaptive, Block-Structured Multigrid on Local Memory Machines.- Biorthogonal Wavelets and Multigrid.- Adaptive Multilevel-Methods for Obstacle Problems in Three Space Dimensions.- Adaptive Point Block Methods.- Adaptive Computation of Compressible Fluid Flow.- On Numerical Experiments with Central Difference Operators on Special Piecewise Uniform Meshes for Problems with Boundary Layers.- The Box Method for Elliptic Interface Problems on Locally Refined Meshes.- Parallel Steady Euler Calculations using Multigrid Methods and Adaptive Irregular Meshes.- An Object-Oriented Approach for Parallel Self Adaptive Mesh Refiement on Block Structured Grids.- A Posteriori Error Estimates for the Cell-Vertex Finite Volume Method.- Mesh Adaptation via a Predictor-Corrector-Strategy in the Streamline Diffusion Method for Nonstationary Hyperbolic Systems.- On the V-Cycle of the Fully Adaptive Multigrid Method.- Wavelets and Frequency Decomposition Multilevel Methods.