Approximation of integral operators by Green quadrature and nested cross approximation

Borm, S. and Christophersen, S. (2016) Approximation of integral operators by Green quadrature and nested cross approximation Numerische Mathematik, 133 (3). pp. 409-442. DOI 10.1007/s00211-015-0757-y.

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Abstract

We present a fast algorithm that constructs a data-sparse approximation of matrices arising in the context of integral equation methods for elliptic partial differential equations. The new algorithm uses Green's representation formula in combination with quadrature to obtain a first approximation of the kernel function, and then applies nested cross approximation to obtain a more efficient representation. The resulting -matrix representation requires units of storage for an matrix, where k depends on the prescribed accuracy.

Document Type: Article
Additional Information: Times Cited: 0 Boerm, Steffen Christophersen, Sven
Keywords: 65N38 65N80 65D30 45B05
Research affiliation: OceanRep > The Future Ocean - Cluster of Excellence
Refereed: Yes
DOI etc.: 10.1007/s00211-015-0757-y
ISSN: 0029-599X
Projects: Future Ocean
Date Deposited: 20 Feb 2017 11:43
Last Modified: 20 May 2019 12:36
URI: http://eprints.uni-kiel.de/id/eprint/36021

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