Papers by U. Rüde

This is a selection of recent preprints and publications (co-)authored by Ulrich Rüde. Many more papers on multigrid related issues are available by from mgnet.

1

U. Rüde: Discretizations for Multigrid methods. Bericht I-8519, Institut für Informatik, TU München, August 1985. Here is the paper.

2

U. Rüde: Anwendung der Mehrgittermethode zur Berechnung von digitalen Höhenmodellen in der Photogrammetrie. Bericht I-8525, Institut für Informatik, TU München, November 1985. Here is the paper.

3

U. Rüde and Chr. Zenger: On the Treatment of Singularities in the Multigrid Method. Bericht I-8526, Institut für Informatik, TU München, November 1985. Here is the paper.

4

U. Rüde and Chr. Zenger: A Workbench for Multigrid Methods. Bericht I-8607, Institut für Informatik, TU München, May 1986. Here is the paper.

5

U. Rüde: Multiple τ-Extrapolation for Multigrid Methods. Bericht I-8701, Institut für Informatik, TU München, January 1987. Here is the paper.

6

U. Rüde: On the Accurate Computation of Singular Solutions of Laplace's and Poisson's Equation. Proceedings of the Third Copper Mountain Conference, April 5-10, 1987. Here is the paper.

7

R. Fößmeier and U. Rüde: Operating System Support for Parallel Numerical Software Development. Bericht I-8712, Institut für Informatik, TU München, October 1987. Here is the paper.

8

P. Muszynski, U. Rüde und C. Zenger: Application of Algebraic Multigrid (AMG) to Constrained Quadratic Optimization. Bericht I-8801, Institut für Informatik, TU München, January 1988. Here is the paper.

9

U. Rüde: Zur numerischen Behandlung von Singularitäten in elliptischen partiellen Differentialgleichungen. Bericht I-8810, Institut für Informatik, TU München, August 1988. Here is the paper.

10

C.R. Jänsch, U. Rüde and K. Schnepper: Macro Expansion, a Tool for the Systematic Development of Scientific Software. Bericht I-8814, Institut für Informatik, TU München, November 1988. Here is the paper.

11

R. Fößmeier, U. Rüde and C. Zenger: Betriebssystem- und Software-Engineering-Aspekte bei parallelen Algorithmen. Kerntechnik 52 (1988) 2, Carl-Hanser-Verlag, München. Here is the paper.

12

U. Rüde: Local Corrections for Eliminating the Pollution Effect of Reentrant Corners. Bericht I-8901, Institut für Informatik, TU München, February 1989. Here is the paper.

13

P. Slavkovsky and U. Rüde: Schnellere Berechnung klassischer Matrix-Multiplikationen. Bericht I-9032, Institut für Informatik, TU München, and SFB-Bericht Nr. 342/17/90 A, September 1990. Here is the paper.

14

S. McCormick and U. Rüde: On Local Refinement Higher Order Methods for Elliptic Partial Differential Equations. Bericht I-9034, Institut für Informatik, TU München, September 1990. Here is the paper.

15

U. Rüde: Adaptive Higher Order Multigrid Methods Proceedings of the 4th European Multigrid Conference, Internat. Series of Numerical Mathematics, Vol. 98, pp 339-351, October 1990. Here is a preprint.

16

U. Rüde. Extrapolation and related techniques for solving elliptic equations. Bericht I-9135, Institut für Informatik, TU München, September 1991. Here is the abstract and the paper.

17

M. Arbesmeier and U. Rüde: A toolbox for multigrid methods. Bericht I-9136, Institut für Informatik, TU München, September 1991. Here is the abstract and the paper.

18

U. Rüde: The Hierarchical Basis Extrapolation Method SIAM J. Sci. Stat. Comput, Vol. 13, No. 1, January 1992. Here is a preprint. The original paper can be found here.

19

H. Bungartz and M. Griebel and U. Rüde: Extrapolation, Combination and Sparse Grid Techniques for Elliptic Boundary Value Problems Bericht I-9213, Institut für Informatik, TU München, and SFB-Bericht Nr. 342/10/92 A, Mai 1992. Here is the paper.

20

M. Griebel and W. Huber and U. Rüde and T. Störtkuhl: The Combination Technique for Parallel Sparse-Grid-Preconditioning and -Solution of PDEs on Multiprocessor Machines and Workstation Networks. Bericht I-9214, Institut für Informatik, TU München, and SFB-Bericht Nr. 342/11/92 A, Mai 1992. Here is the paper.

21

U. Rüde. On the V-cycle of the fully adaptive multigrid method. Bericht I-9215, Institut für Informatik, TU München, May 1992. to be published in the proceedings of the 9th GAMM Seminar, Kiel, January 22-24, 1993. Here is the abstract and here is the paper

22

U. Rüde: Data Structures for Multilevel Adaptive Methods and Iterative Solvers Bericht I-9217, Institut für Informatik, TU München, Mai 1992. Here is the paper.

23

U. Rüde. On the robustness and efficiency of the fully adaptive multigrid method. In A. Quarteroni, editor, Proceedings of the Sixth International Conference on Domain Decomposition in Science and Engineering, Como, Italy, June 15-19, 1992, Providence, 1992. American Mathematical Society. Here is the abstract and the paper.

24

U. Rüde and Chr. Zenger: On the Treatment of Singularities in the Finite Element Method (1986, 1989). Bericht I-9220, Institut für Informatik, TU München, August 1992. Here is the paper.

25

T. Bonk and U. Rüde: Performance analysis and optimization of numerically intensive programs. SFB Bericht 342/26/92 A, Institut für Informatik, TU München, November 1992. Here is the abstract, and here is the paper.

26

U. Rüde. Data abstraction techniques for multilevel algorithms. In Proceedings of the GAMM-Seminar on Multigrid Methods, Sept. 21 - 25, 1992 in Gosen, Germany, Berlin, 1993. Institut für Angewandte Analysis und Stochastik. Report 5, ISSN 0942-9077. Here is the abstract and the paper.

27

C. Pflaum and U. Rüde. Gauß' adaptive relaxation for the multilevel solution of partial differential equations on sparse grids. SFB-Bericht 342/13/93 A, Institut für Informatik, TU München, September 1993. To appear in the proceedings of the 2nd Gauß Symposium, Munich, Aug. 2-7, 1993, Here is the abstract and the paper.

28

H. Regler and U. Rüde. Layout optimization with algebraic multigrid methods (AMG). In Proceedings of the Sixth Copper Mountain Conference on Multigrid Methods, Copper Mountain, April 4-9, 1993, Conference Publication. NASA, 1993. Here is the abstract, and here is the paper.

29

U. Rüde. Error estimators based on stable splittings. Submitted to the proceedings of the 7th International Conference On domain Decomposition, Penn State University, 1993. Here is the abstract. Please contact me directly for a hardcopy of the paper.

30

U. Rüde. Extrapolation techniques for constructing higher order finite element methods. Bericht I-9304, Institut für Informatik, TU München, 1993. Here is the abstract and the paper.

31

U. Rüde. Fully adaptive multigrid methods. SIAM J. Numer. Analysis, 30(1):230-248, February 1993. Here is the abstract and the paper.

32

U. Rüde. Mathematical and computational techniques for multilevel adaptive methods, volume 13 of Frontiers in Applied Mathematics. SIAM, Philadelphia, 1993.

33

U. Rüde. Multilevel, extrapolation, and sparse grid methods. SFB Bericht 342/10/93 A/ I-9319, Institut für Informatik, TU München, July 1993. to appear in the Proceedings of the European Conference on Multigrid Methods, Amsterdam, July 6-9, P. Hemker and P. Wesseling eds. Here is the abstract and the paper.

34

M. Jung and U. Rüde: Implicit extrapolation methods for multilevel finite element computations. In Preliminary Proceedings of the Colorado Conference on Iterative Methods, Breckenridge, Colorado, April 4-10, 1994, 1994. Here is the paper.

35

U. Rüde. On the multilevel adaptive iterative method. SIAM J. Sci. Stat. Comput., 15, 1994. Also available as TU-Bericht I-9216, and published in the Preliminary Proceedings of the 2nd Copper Mountain Conference on Iterative Methods, April 9-14, 1992, ed. T. Manteuffel, University of Colorado at Denver. Here is the abstract and the paper.

36

S. McCormick and U. Rüde: A finite volume convergence theory for the fast adaptive composite grid methods. Applied Numerical Mathematics, Vo. 14 (1994), pp. 91--103. Here is the abstract and here the paper.

37

R. Balder, U. Rüde, S. Schneider, C. Zenger. Sparse Grid and Extrapolation Methods for Parabolic Problems. To be published in Proceedings of the 10th International Conference on Computational Methods in Water Ressources, Heidelberg, July 19-22, 1994. Here is the abstract and the paper.

38

M. Jung and U. Rüde. Implicit extrapolation methods for multilevel finite element computations: Theory and Application. SPC Preprint 94_11, Fakultät für Mathematik, Technische Universität Chemnitz-Zwickau, June 1994. Here is the abstract, and here the paper.

39

U. Rüde and W. Schmid. Inverse multigrid correction for generalized eigenvalue compuations. Report 338, Universität Augsburg, September 1995. Here is the abstract, and here is the paper.

40

U. Rüde. Stability of implicit extrapolation methods. Submitted to the proceedings of the 8th International Conference on Domain Decomposition Methods, Beijing, May 16-20, 1995. Here is the abstract, and here is the full paper.

41

M. Jung, U. Rüde. Implicit Extrapolation Methods for Variable Coefficient Problems. SFB-Bericht 342/24/95 A, Institut für Informatik, TU München, December 1995. Here is the abstract. Please contact me directly for a hardcopy of the paper.

42

H. Lötzbeyer and U. Rüde. Patch-adaptive Multilevel Iteration. BIT 37:3 (1997), 739-758. Here is the abstract, and here is the paper.