On the robustness of elliptic resolvents computed by means of the technique of hierarchical matrices

Authors:
M. Espig;W. Hackbusch
Affiliations:
Max-Planck-Institut Mathematik in den Naturwissenschaften, Inselstr. 22, D-04103 Leipzig, Germany;Max-Planck-Institut Mathematik in den Naturwissenschaften, Inselstr. 22, D-04103 Leipzig, Germany
Venue:
Applied Numerical Mathematics
Year:
2008

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Abstract

Hierarchical matrices provide a data-sparse way to approximate fully populated matrices. In this paper we exploit robust 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.