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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.

Jan 27, 2007
Jan 27, 2007
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