An extension of Purcell's vector method with applications to panel element equations

Computers and Mathematics with Applications

Volumn 33, Issue 7, 1997, Pages 101-114

  Lai, C H ^a  

^a UNIVERSITY OF GREENWICH   (United Kingdom)

Author keywords

Functional decomposition; Orthogonalisation; Panel methods

Indexed keywords

COMPUTATIONAL METHODS; VECTORS;

FUNCTIONAL DECOMPOSITION; PANEL METHOD; PURCELL'S VECTOR METHOD;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0031125407     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(97)00045-X     Document Type: Article

References (12)

1. E.W. Purcell, The vector method of solving simultaneous linear equations, Journal of Mathematics and Physics 32, 180-183, (1953).
2. C.-H. Lai, On Purcell's method and the Gauss-Jordan elimination method, Int. J. Math. Educ. Sci. Technol. 25, 759-778, (1994).
3. J.L. Hess and A.M.O. Smith, Calculations of potential flow about arbitrary bodies, Prog. Aero. Sc. 8, (1996).
4. D.K. Fadeev and V.N. Fadeeva, Computational Methods of Linear Algebra, (Translated by R.C. Williams), W.H. Freeman Publisher, London, (1963).
5. D.E. Keyes, Y. Saad and D.G. Truhlar, Domain-Based Parallelism and Problem Decomposition Methods in Computational Science and Engineering, (Edited by D.G. Truhlar), SIAM, Philadelphia, PA, (1995).
6. C.-H. Lai, A domain decomposition for viscous/inviscid coupling, Advances in Engineering Software 26, 151-159, (1995).
7. I. East, Parallel Processing with Communicating Process Architecture, UCL Press Ltd, London, (1995).
8. A. Davies, Massively parallel computing and the boundary element method, In Applications of Supercomputers in Engineering III, (Edited by C.A. Brebbia and H. Power), pp. 531-184, Computational Mechanics Publications, Southampton, (1993).
9. C.-H. Lai, A parallel panel method for the solution of fluid flow past an aerofoil, In CONPAR88, (Edited by C.R. Jesshope and K.D. Reinartz), pp. 711-781, Cambridge University Press, Cambridge, (1989).
10. J.J. Dongarra, F.G. Gustavson and A. Karp, Implementing linear algebra algorithms for dense matrices on a vector pipeline machine, SIAM Rev 26, 91-112, (1989).
11. A. Lin, Parallel/distributed direct method for solving linear systems, NASA Technical Memorandum, ICOMP-90-18, (1990).
12. Program Development Under Unix, DAP Series Manual, Cambridge Parallel Processing, man003.05, (1993).