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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.

Received:
Jan 27, 2007
Published:
Jan 27, 2007
Keywords:
hierarchical matrices, resolvents, data-sparse approximations

Related publications

inJournal
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