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Conditioning of Pseudospectral Matrices for Certain Domain Decompositions (1999)

Karageorghis, Andreas ; Paprzycki, Marcin

Springer

Journal of scientific computing 14 (1999), S. 107-119

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ISSN: 1573-7691

Keywords: Spectral methods ; collocation ; domain decomposition ; conditioning

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science

Notes: Abstract In this paper we examine the conditioning of the matrices resulting from certain conforming pseudospectral approximations. In particular, we consider non-conforming domain decompositions in rectangular domains and the solution of fourth order problems. We investigate the way in which the poor conditioning of these matrices affects the performance, in terms of accuracy, of various direct methods of solution of the resulting systems. We also show how a simple iterative refinement procedure can improve the accuracy of the results obtained with a capacitance technique.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1025676806232

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