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
Pages: 11
published in: Applied numerical mathematics, 58 (2008) 12, p. 1844-1851 
DOI number (of the published article): 10.1016/j.apnum.2007.11.006
Bibtex
Keywords and phrases: hierarchical matrices, resolvents, data-sparse approximations
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Abstract:
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.