MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Hierarchical Matrix Techniques for a Domain Decomposition Algorithm

Jeffrey Ovall


In this paper we investigate the effectiveness of hierarchical matrix techniques when used as the linear solver in a certain domain decomposition algorithm. In particular, we provide a direct performance comparison between an algebraic multigrid solver and a hierarchical matrix solver based on nested dissection clustering within the software package PLTMG.

Jul 11, 2006
Jul 11, 2006
MSC Codes:
65F10, 65F30, 65F50, 65N30, 65N55
hierarchical matrices, domain decomposition, nested dissection

Related publications

2007 Repository Open Access
Jeffrey S. Ovall

Hierarchical matrix techniques for a domain decomposition algorithm

In: Computing, 80 (2007) 4, pp. 287-297