Staff Dr. Stephan Knapek

Optimized general sparse grid approximation spaces for operator equations. M. Griebel and S. Knapek. Mathematics of Computations, 78(268):2223–2257, oct 2009. Also available as SFB611 preprint No 402. BibTeX PostScript PDF Link

Integral operators on sparse grids. S. Knapek and F. Koster. SIAM J. Num. Anal., 39(5):1794–1809, 2002. BibTeX PostScript

Optimized tensor-product approximation spaces. M. Griebel and S. Knapek. Constructive Approximation, 16(4):525–540, 2000. BibTeX PostScript

Matrix-dependent multigrid homogenization for diffusion problems. S. Knapek. SIAM J. Sci. Comp., 20(2):515–533, 1999. BibTeX PostScript

Upscaling techniques based on subspace correction and coarse-grid approximation. S. Knapek. InSitu, 22(1):35–58, 1998. Special issue on reservoir simulation. BibTeX PostScript

Compression of anisotropic tensor–product discretizations. S. Knapek. INS Preprint 0200, Institut für Numerische Simulation, Universität Bonn, 2002. BibTeX PDF

Optimized approximation spaces for operator equations. M. Griebel and S. Knapek. Technical Report 568, SFB 256, Univ. Bonn, 1999. BibTeX PDF

Multilevel upscaling in heterogeneous porous media. J.D. Moulton, S. Knapek, and J.E. Dendy. Technical Report, CNLS Research highlight, Los Alamos Nat.~Lab., Jan. 1999. BibTeX PostScript

A multigrid-homogenization method. M. Griebel and S. Knapek. In R. Helmig, W. Jäger, W. Kinzelbach, P. Knabner, and G. Wittum, editors, Modeling and Computation in Environmental Sciences, volume 59 of Notes on Numerical Fluid Mechanics, 187–202. Braunschweig, 1997. Vieweg-Verlag. BibTeX

Approximation und Kompression mit Tensorprodukt-Multiskalenräumen. S. Knapek. Dissertation, Universität Bonn, April 2000. BibTeX PostScript PDF

Multiskalenverfahren bei der Modellierung, Diskretisierung und Lösung von Diffusionsproblemen. S. Knapek. Diplomarbeit, Instit.~für Informatik, TU München, 1995. BibTeX PostScript