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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 2224, with the 9 KielSeminar on the special topic "Adaptive Methods Algorithms, Theory and Applications" at the ChristianAlbrechtsUniversity 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, spacetime adaptivity, adaptive solvers, multigrid 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/LeastSquaresFEM 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 2D. 38 T. BONK: A New Algorithm for MultiDimensional Adaptive Nume cal Quadrature. 54 F. A. BORNEMANN: Adaptive Solution of OneDimensional Scalar Conservation Laws with Convex Flux. 69 J. CANU, H. RITZDORF: Adaptive, BlockStructured Multigrid on Local Memory Machines. 84 S. DAHLKE, A. KUNaTH: Biorthogonal Wavelets and Multigrid. 99 B. ERDMANN, R. H. W. HOPPE, R.
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