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MiS Preprint
11/2007
On the Robustness of Elliptic Resolvents Computed by means of the Technique of Hierarchical Matrices
Mike Espig and Wolfgang Hackbusch
Abstract
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.