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

On the Robustness of Elliptic Resolvents Computed by means of the Technique of Hierarchical Matrices

Mike Espig and Wolfgang Hackbusch


Hierarchical matrices provide a data-sparse way to approximate fully populated matrices. In this paper we exploit robust $\mathcal{H}$-matrix techniques to approximate the resolvents of stiffness matrices as they appear in (finite element or finite difference) discretisations of elliptic partial differential equations.

hierarchical matrices, resolvents, data-sparse approximations

Related publications

2008 Repository Open Access
Mike Espig and Wolfgang Hackbusch

On the robustness of elliptic resolvents computed by means of the technique of hierarchical matrices

In: Applied numerical mathematics, 58 (2008) 12, pp. 1844-1851