Browsing by Author "Paprzycki, M."
Now showing items 1-5 of 5
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Article
Conditioning of pseudospectral matrices for certain domain decompositions
Karageorghis, Andreas; Paprzycki, M. (1999)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 ...
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Article
Direct methods for spectral approximations in nonconforming domain decompositions
Karageorghis, Andreas; Paprzycki, M. (1998)The application of a conforming spectral collocation method to certain nonconforming domain decompositions leads to global matrices which have a particular block structure. We study the performance of various direct linear ...
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Article
An efficient direct method for fully conforming spectral collocation schemes
Karageorghis, Andreas; Paprzycki, M. (1996)An efficient direct method is presented for the solution of the linear systems arising in the solution of second and fourth order problems by certain multidomain spectral collocation schemes. In it, the block structure of ...
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Article
High performance solution of linear systems arising from conforming spectral approximations for non-conforming domain decompositions
Paprzycki, M.; Karageorghis, Andreas (1997)We apply a conforming spectral collocation technique to nonconforming domain decompositions. The resulting global matrices have a particular block structure. We study the performance of various direct methods of solution ...
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Article
High performance solution of partial differential equations discretized using a chebyshev spectral collocation method
Cyphers, C.; Paprzycki, M.; Karageorghis, Andreas (1996)When a Chebyshev spectral collocation method is applied to a flow problem in a rectangularly decomposable domain it leads to the solution of a structured linear system. Since the linear system is solved at each step of a ...