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FORSCHUNGSBERICHT 1996-1998


 

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Institut für Angewandte Mathematik Abt.f.Wiss.Rechnen u. Num.Simulation

Allgemeine Angaben:
Wegelerstraße 6, 53115 Bonn, Telefon: 0228 / 73-3437, Telefax: 0228 / 73-7527, eMail: griebel@iam.uni-bonn.de, WWW: http://wissrech.iam.uni-bonn.de/

Hauptamtliche Professoren
Prof. Dr. Michael Griebel

Wissenschaftliches Personal
Universitätsstellen
Dr. Klaus Giebermann
Dipl.-Math. Stephan Knapek
Dr. Gerhard Zumbusch

Drittmittelstellen
Dipl.-Math. Attila Caglar (SFB 256, DFN)
Dipl.-Inform. Thomas Gerstner (SFB 350)
Dipl.-Math. Christian Hansen (SFB 350)
Dipl.-Math. Frank Kiefer (DFG, Norsk Hydro)
Dipl.-Math. Frank Koster (DFG)
Dipl.-Math. Thomas Schiekofer (BMBF, Norsk Hydro)
Dipl.-Math. Marc Alexander Schweitzer (SFB 256)
Dipl.-Math. Christian von Törne (DFG)

Stipendiaten

Forschungsschwerpunkte
Molecular dynamics simulation methods
(Caglar, Knapek)

Meshless numerical methods for the simulation of 3D flows with free boundaries
(Caglar, Schweitzer)

Numerical methods for the nanotechnology
(Caglar)

Smoothed particle hydrodynamics with applications in astrophysics
(Caglar)

Hierarchical and adaptive methods for the compression and visualization of large data sets
(Gerstner)

Nonlinear multigrid methods for the numerical simulation of coupled systems
(Gerstner)

Numerical quadrature based on sparse grids with applications to physics and financial engineering
(Gerstner)

Fast-vision methods for the reconstruction of sedimentary surfaces
(Giebermann , Hansen)

Fast methods for the numerical solution of boundray integral equations
(Giebermann)

Numerical methods for direct scattering problems
(Giebermann)

Numerical methods for inverse scattering problems
(Giebermann)

Compression methods for the efficient storage and representation of relief data
(Hannappel)

Robust multilevel methods for stationary convection-diffusion equations
(Kiefer)

Wavelet based iterative methods and preconditioning
(Kiefer)

Multigrid based homogenization techniques for porous media
(Knapek)

Optimized wavelet approximation spaces for operator equations
(Knapek)

Algorithms for Wavelet-Galerkin methods based on sparse approximation spaces
(Koster)

Wavelet-based Navier-Stokes solver for the simulation of turbulence
(Koster)

Finite-differences on sparse grids for the solution of partial differential equations
(Schiekofer)

Sparse grid and prewavelet based methods for the solution of integral equations
(Schiekofer)

Development of efficient parallel methods for the simulation and optimization of CVD processes
(Schiekofer)

Parallel algebraic multigrid
(Schweitzer, Knapek)

Parnass2: A cluster of PCs
(Schweitzer, Zumbusch)

Partition of unity methods for instationary convection-diffusion equations
(Schweitzer)

Parnass: A cluster of workstations
(Zumbusch)

Adaptive parallel multigrid methods with space-filling curves and hash storage
(Zumbusch)

Finite-difference schemes on sparse grids for time dependent problems
(Zumbusch)

Parallel adaptive sparse grids
(Zumbusch)

Besondere Forschungsförderung
Meshless numerical methods for the simulation of 3D flows with free boundaries
(Caglar, Schweitzer, SFB 256 "Nonlinear partial differential equations" )

Smoothed particle hydrodynamics with applications in astrophysics
(Caglar, SFB 256 "Nonlinear partial differential equations" )

Numerical methods for molecular dynamics simulations
(Caglar, DFN)

Parallel multilevel particle methods combined with space-filling curves
(Caglar, SFB 256 "Nonlinear partial differential equations")

Nonlinear multigrid methods for the numerical simulation of coupled systems
(Gerstner, SFB 350 "Interactions of Continental Geosystems and their Modelling" )

Compression methods for the efficient storage and representation of relief data
(Hannappel, Graduiertenkolleg: Landform - a structured and variable boundary layer )

Compression methods for efficient storage of sedimentary surfaces using block-structured sparse grids
(Hansen, SFB 350)

Fast-vision methods for the reconstruction of sedimentary surfaces
(Hansen, SFB 350 "Interactions of Continental Geosystems and their Modelling" )

Multilevel methods for nonsymmetric problems as iterative methods on generating systems
(Kiefer, DFG)

Algorithms for Wavelet-Galerkin methods based on sparse approximation spaces
(Koster, DFG)

Development of CFD Code NaSt3D\GP
(Koster, DFG)

Wavelet-based Navier-Stokes solver for the simulation of turbulence
(Koster, DFG)

Partition of unity methods for instationary convection-diffusion equations
(Schweitzer, Sonderforschungsbereich 256 "Nonlinear Partial Differential Equations" )

Parnass2: A cluster of PCs
(Schweitzer, SFB 256 "Nonlinear partial differential equations")

Veröffentlichungen
Bruaset A.M., Langtangen H.-.P., Zumbusch G.:
Domain Decomposition and Multilevel Methods in Diffpack.
Proceedings of Domain Decomposition Methods 9, Wiley, pp. 655-662, 1998

Bungartz H., Griebel M., Röschke D., Zenger C.:
A proof of convergence for the combination technique for the Laplace equation using tools of symbolic computation.
Mathematics and Computers in Simulation, pp. 595--605, 1996

Bungartz H.-J., Griebel M., Zenger C.:
Einführung in die Computergraphik: Grundlagen, Geometrische Modellierung, Algorithmen.
Vieweg-Verlag, Braunschweig, 1996

Dauelsberg M., Durst F., Kadinski L., Makarov Y., Strauch G., H., Jürgensen, Schiekofer T., Griebel M., Bode A., Luksch P., May M.:
PAR-CVD: Entwicklung leistungsfähiger paralleler Berechnungsverfahren zur Untersuchung und Optimierung von CVD-Prozessen.
In Proceedings der BMWF-Tagung HPSC97, München, 1997

Gerstner T., Griebel M.:
Numerical Integration using Sparse Grids.
Numerical Algorithms 18, pp. 209-232, 1998

Gerstner T.:
Adaptive hierarchical methods for landscape representation and analysis.
In "Process Modelling and Landform Evolution", S. Hergarten, H.J. Neugebauer (eds.), Lecture Notes in Earth Sciences 78, Springer, 1998

Grauschopf T., Griebel M., Regler H.:
Additive multilevel-preconditioners based on bilinear interpolation, matrix dependent geometric coarsing and algebraic multigrid coarsening for second order elliptic PDEs.
Applied Numerical Mathematics 23(1), pp. 63-96, 1997

Griebel M., Dornseifer T., Neunhoeffer T.:
Simulation in Fluid Dynamics: A Practical Introduction.
SIAM Monographs on Mathematical Modelling and Computation, SIAM, Philadalphia, 1998

Griebel M., Huber W., Zenger C.:
Numerical Turbulence Simulation on a parallel computer using the combination method.
In E.H. Hirschel (ed.): DFG-SPP "Flow Simulations with High Performance Computers", Notes on Numerical Fluid Mechanics, Vol. 52, pp. 34-47, Vieweg-Verlag, Braunschweig, 1996

Griebel M., Iliev O., Margenov S., Vassilievski P. (editors):
Large-Scale Scientific Computations of Engineering and Environmental Problems.
Notes on Numerical Fluid Mechanics 62, Vieweg Verlag, Braunschweig, 1998

Griebel M., Knapek S.:
Matrix-dependent multigrid-homogenization for diffusion problems.
In R. Helmig, W. Jäger, W. Kinzelbach, P. Knabner und G. Wittum (eds.), Modeling and Computation in Environmental Sciences, Notes on Numerical Fluid Mechanics 59, pp. 187-202, Vieweg-Verlag, Braunschweig, 1997.

Griebel M., Neunhoeffer T., Regler H.:
Algebraic multigrid methods for the solution of the Navier-Stokes equations in complicated domains.
Int. J. Numer. Methods for Heat and Fluid Flow, 26, pp. 281-301, 1998

Griebel M., Neunhoeffer T.:
Parallel point- and domain-oriented multilevel methods for elliptic PDE's on workstation networks.
J. Comp. Appl. Math. 66, pp. 267-268, 1996

Griebel M., Schiekofer T.:
An adaptive sparse grid Navier-Stokes solver in 3D based on the finite difference method.
In Proceedings ENUMATH97, Heidelberg, 1997.

Griebel M., Starke G.:
Multilevel preconditioning based on discrete symmetrization for convection-diffusion equations.
Journal of Computational and Applied Mathematics, 83, pp. 165-183, 1997

Griebel M., Zumbusch G.:
PARNASS: Porting Gigabit-LAN components to a workstation cluster.
Proceedings of the 1st Workshop Cluster-Computing, held November 6-7, 1997, in Chemnitz, editor: W. Rehm, Chemnitzer Informatik Berichte, CSR-97-05 , pp. 101-124

Griebel M., Zumbusch G.:
Adaptive Sparse Grids for Hyperbolic Conservation Laws.
Proceedings of Seventh International Conference on Hyperbolic Problems, Theory, Numerics, Applications, Birkhäuser, 1998

Griebel M., Zumbusch G.:
Hash-Storage Techniques for Adaptive Multilevel Solvers and their Domain Decomposition Parallelization.
Proceedings of Domain Decomposition Methods 10, editor: J. Mandel, C. Farhat, X.-C. Cai, Contemporary Mathematics 218, AMS, 1998, pp. 279-286

Griebel M., Zumbusch G.:
Parallel multigrid in an adaptive PDE solver based on hashing.
Proceedings of ParCo '97, editor: E. D'Hollander, G.R. Joubert, F.J. Peters, U. Trottenberg, Elsevier, 1998, pp. 589-599

Griebel M.:
Adaptive sparse grid multilevel methods for elliptic PDEs based on finite differences.
Computing, 61, pp. 151-179, 1998

Hiptmair R., Schiekofer T., Wohlmuth B.:
Multilevel preconditioned augmented Lagrangian techniques for 2nd order mixed problems.
Computing 57, pp. 25-48, 1996

Knapek S.:
Upscaling Techniques based on Subspace Correction and Coarse-Grid Approximations.
In Situ, 22(1), pp. 35-58, 1998.

Korzen M., Schriever R., Ziener K.-U., Paetsch O., Zumbusch G.:
Real-Time 3-D Visualization of Surface Temperature Fields Measured by Thermocouples on Steel Structures in Fire Engineering.
In proceedings of International Symposium Local Strain and Temperature Measurements in Non-Uniform Fields at Elevated Temperatures , held March 14-15, 1996, in Berlin, Germany, organized by High Temperature Mechanical Testing Committee(HTMTC) and Federal Institute for Materials Research and Testing (BAM)

Koster F., Griebel M., N. Kevlahan, Farge M., Schneider K.:
Towards an adaptive wavelet-based 3D Navier-Stokes solver.
In E.H. Hirschel, Editor, Numerical flow simulation I, Notes on Numerical Fluid Mechanics, Vieweg Verlag, Braunschweig, 1998.

May M., Schiekofer T.:
An Abstract Data Type for Parallel Simulations based on Sparse Grids.
In Proceedings of the Third European PVM Conference, Munich, Germany, October 7-9th 1996, Springer Verlag, Lecture Notes in Computer Science, Vol. 1156, 1997

Rösch N., Krüger S., Griebel M., Zenger C.:
Quantenchemie auf Parallelrechnern, Zur Perspektive der Dichtefunktionaltheorie.
Proceedings der BMWF-Tagung HPSC95, Aachen, 1996

Schiekofer T., Zumbusch G.:
Software Concepts of a Sparse Grid Finite Difference Code.
Proceedings of the 14th GAMM-Seminar Kiel on Concepts of Numerical Software, editor: W. Hackbusch, G. Wittum, Notes on Numerical Fluid Mechanics, Vieweg, 1998

Zumbusch G.W.:
Symmetric Hierarchical Polynomials and the Adaptive h-p-Version.
Proceedings of the Third International Conference on Spectral and High Order Methods, ICOSAHOM'95 held June 5-9, 1995, in Houston, Texas, editors: A.V. Ilin, L. R. Scott Houston Journal of Mathematics 1996, pp. 529-540, 1996


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