Publications

Partial Differential Equations

S. Börm, L. Grasedyck, W. Hackbusch:
Introduction to hierarchical matrices with applications.
EABE 27: 405-422, 2003.
Preprint version
L. Grasedyck, S. Le Borne:
H-matrix preconditioners in convection-dominated problems.
SIAM J. Matrix Anal. Appl. 27: 1172-1183, 2006.
Preprint version
L. Grasedyck, R. Kriemann, S. Le Borne:
Domain-decomposition based H-LU preconditioners.
Domain Decomposition Methods in Science and Engineering XVI, O.B. Widlund and D.E. Keyes (eds.), Springer LNCSE 55: 661-668, 2006.
L. Grasedyck, R. Kriemann, S. Le Borne:
Parallel blackbox ${\cal H}$-LU preconditioning for elliptic boundary value problems.
Comput. Visual. Sci. 11: 273-291, 2008.
Preprint version
L. Grasedyck, R. Kriemann, S. Le Borne:
Domain decomposition based H-LU preconditioning.
Num. Math. 112: 565-600, 2009.
L. Grasedyck, W. Hackbusch, R. Kriemann:
Performance of H-LU Preconditioning for Sparse Matrices.
Comput. Meth. Appl. Math. 8: 336--349, 2008.
Preprint version
L. Grasedyck, I. Greff, S. Sauter:
The AL Basis for the solution of elliptic problems in heterogeneous media.
Multiscale Model. Simul., 10(1), 245–258. (14 pages) , DOI: 10.1137/11082138X
Preprint version