On the Robustness of Elliptic Resolvents Computed by means of the Technique of Hierarchical Matrices
Mike Espig and Wolfgang Hackbusch
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Submission date: 27. Jan. 2007
published in: Applied numerical mathematics, 58 (2008) 12, p. 1844-1851
DOI number (of the published article): 10.1016/j.apnum.2007.11.006
Keywords and phrases: hierarchical matrices, resolvents, data-sparse approximations
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Hierarchical matrices provide a data-sparse way to approximate fully populated matrices. In this paper we exploit robust -matrix techniques to approximate the resolvents of stiffness matrices as they appear in (finite element or finite difference) discretisations of elliptic partial differential equations.