Publications

• L. Grasedyck, R. Kriemann, S. Le Borne. Parallel blackbox H-LU preconditioning for elliptic boundary value problems. to appear in Comput. Vis. Sci. (2008)
• S. Le Borne, R. Kriemann. The nullspace method for the three-dimensional Stokes problem. submitted to PAMM Proc. Appl. Math. Mech. (Proceedings of the 2007 ICIAM conference)
• S. Le Borne. Preconditioned nullspace method for the Oseen problem. subm. to SIAM J. Sci. Comp. (May 2007)
• S. Le Borne. Block computation and representation of a sparse nullspace basis of a rectangular matrix. Lin. Alg. Appl. 428, 2455-2467 (2008)
• S. Le Borne, D. W. Cook II. Construction of a discrete divergence-free basis through orthogonal factorization in H-arithmetic. Computing 81, 215-238 (2007)
• S. Le Borne, S. Oliveira, F. Yang. H-matrix preconditioners for symmetric saddle point problems from meshfree discretizations. Numerical Linear Algebra and Applications (2008), to appear
• S. Le Borne, S. Oliveira. Joint domain-decomposition H-LU preconditioners for saddle point problems. ETNA 26, 285-298 (2007)
• L. Grasedyck, R. Kriemann, S. Le Borne. Domain Decomposition Based H-LU Preconditioning. submitted to Numer. Math.
• S. Le Borne. Block and joint H-matrix preconditioners for the Oseen equations. PAMM Proc. Appl. Math. Mech. 6, 747-748 (2006)
• S. Le Borne. Hierarchical matrix preconditioners for the Oseen equations. to appear in Comput. Vis. Sci. (2006)
• S. Le Borne. Hierarchical matrix preconditioners for the Stokes equations. Proceedings of the 2005 European Multigrid Conference, ECCOMAS (2006)
• S. Le Borne. Multilevel hierarchical matrices. SIAM J. Mat. Anal. Appl. 28, 871 - 889 (2006)
• S. Le Borne, L. Grasedyck. H-matrix preconditioners for convection-dominated problems. SIAM J. Matrix Anal. Appl. 27, 1172 - 1183 (2006)
  
• S. Le Borne, L. Grasedyck, R. Kriemann. Domain-decomposition based H-Matrices. Lecture Notes in Computational Science & Engineering, Vol. 55, 661-668 (2006)