Lai, C.-H. ORCID: https://orcid.org/0000-0002-7558-6398 (1997) An extension of Purcell's vector method with applications to panel element equations. Computers & Mathematics with Applications, 33 (7). pp. 101-114. ISSN 0898-1221 (doi:10.1016/S0898-1221(97)00045-X)

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Abstract

The classical Purcell's vector method, for the construction of solutions to dense systems of linear equations is extended to a flexible orthogonalisation procedure. Some properties are revealed of the orthogonalisation procedure in relation to the classical Gauss-Jordan elimination with or without pivoting. Additional properties that are not shared by the classical Gauss-Jordan elimination are exploited. Further properties related to distributed computing are discussed with applications to panel element equations in subsonic compressible aerodynamics. Using an orthogonalisation procedure within panel methods enables a functional decomposition of the sequential panel methods and leads to a two-level parallelism.

Item Type:	Article
Uncontrolled Keywords:	orthogonalisation, panel methods, functional decomposition
Subjects:	Q Science > QA Mathematics
Pre-2014 Departments:	School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group School of Computing & Mathematical Sciences > Department of Mathematical Sciences
Related URLs:	Publisher
Last Modified:	14 Oct 2016 08:59
URI:	http://gala.gre.ac.uk/id/eprint/83

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