Incomplete Decomposition (ILU) — Algorithms, Theory, and Applications: Proceedings of the Eighth GAMM-Seminar, Kiel, January 24–26, 1992

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Front Matter ....Pages I-VII Relaxed ILU Preconditioning for the CG Solution of a Singular Boundary Value Problem for Pressure (Vincent A. Barker, Bo Gervang)....Pages 1-11 Locally Refined Solution of Unsymmetric and Nonlinear Problems (Peter Bastian)....Pages 12-21 Incomplete Factorizations with S/P and Modified S/P Consistently Ordered M-Factors (Robert Beauwens)....Pages 22-31 Grid- and Point-Oriented Multilevel Algorithms (Michael Griebel)....Pages 32-46 Parallelizable Incomplete Factorization Preconditioning Methods (Ivar Gustafsson, Gunhild Lindskog)....Pages 47-56 Modification of the ILU-Method for Enhanced Parallel Efficiency (Graham Horton, Ralf Knirsch, Gabriel Wittum)....Pages 57-66 Discretization and Iterative Solution of Convection Diffusion Equations (R. Kornhuber, G. Wittum)....Pages 67-77 Empirically modified block incomplete factorizations (Magolu monga-Made)....Pages 78-87 Preconditioning of Blockstructured Linear Systems with Block ILU on Parallel Computers (Volker Mehrmann)....Pages 88-95 Quadrant Tridiagonal Partitioning and Preconditioned Conjugate Gradient Method for Solving Elliptic Problems (G. Molnárka, S. Szabó)....Pages 96-102 A new approximate factorization method (Yvan Notay)....Pages 103-112 The use of sparse matrix techniques for solving the incompressible Navier-Stokes equations (A. van der Ploeg, F. W. Wubs)....Pages 113-121 The Construction of the Interpolation Operator with I L U Decomposition for Algebraic Positive Definite Systems (Constantin Popa)....Pages 122-129 The Smoothing Property for Regular Splittings (Arnold Reusken)....Pages 130-138 On the Stability of the ILU — Method for Singular Perturbed Finite Element Problems (Stefan Sauter)....Pages 139-148 ILU as a solver in a parallel multi-grid flow prediction code (M. Schäfer, E. Schreck)....Pages 149-158 New Estimates of the Contraction Number of V-cycle Multi-Grid with Applications to Anisotropic Equations (Rob Stevenson)....Pages 159-167 On ordering strategies in a multigrid algorithm (Stefan Turek)....Pages 168-178 The effect of incomplete decomposition preconditioning on the convergence of Conjugate Gradients (Henk A. Van der Vorst, Gerard G. L. Sleijpen)....Pages 179-187 On Parallel Frequency Filtering (W. Weiler, G. Wittum)....Pages 188-201 The Role of Incomplete LU-Factorization in Multigrid Methods (P. Wesseling)....Pages 202-214 Incomplete Line LU as smoother and as preconditioner (P. M. de Zeeuw)....Pages 215-224 Back Matter ....Pages 225-231