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A Fast Higher Order Poisson Solver

Othman M., and Suliman J., and Abdullah A.R., (2001) A Fast Higher Order Poisson Solver. Sains Malaysiana , 30 . pp. 77-86. ISSN 01266039

Full text not available from this repository.

Official URL: http://pkukmweb.ukm.my/~jsm/english_journals/vol30_2001/vol30_01page77-86.html

Affiliations

Universiti Putra Malaysia, Dept. of Communication Technology and Network
Universiti Malaysia Sabah, School of Science and Technoogy
Universiti Kebangsaan Malaysia, Dept. of Industrial Computing

Abstract

In this paper, we introduce a rotated fourth order approximation with the halfsweep approach for solving the two dimensional Poisson equation known as a faster higher order Poisson solver. The solver has been shown to be very much faster as compared to the standard fourth order Poisson solver due to Gupta (1984). The experimental results of the test problem were included to support our assertion.

Makalah membincangkan satu penghampiran putaran bertertib empat dengan menggunakan pendekatan separuh sapuan untuk menyelesaikan persamaan Poisson dua dimensi dikenali sebagai satu penyelesai Poisson bertertib tinggi terpantas. Penyelesai ini telah menunjukkan kepantasannya jika dibandingkan dengan penyelesai Poisson bertertib empat merujuk kepada Gupta (1984). Keputusan eksperimen daripada masalah ujian telah dimasukkan untuk menyokong dakwaan tersebut.

Item Type:Journal
Keywords:Poisson equation
Subjects:Q Science, Computer Science
ID Code:3025

Abdullah A.R. 1991. The Four Points Explicit Decoupled Group (EDG). Method: a Fast Poisson solver. Int. J. Comp. Math. 38: 61-70.

Collatz, L. 1960. The Numerical Treatment of Differential Equation, Berlin. Springer-Verlag.

Dahlquist, G. & Bjorck, A. 1974. Numerical Methods. New York: Prentice Hall.

Gupta, M.M. 1984. A fourth-order poisson solver. J. Comput. Phys. 55: 166-172.

Lynch, R.E. & Rice, J.R. 1978. The hoide method and its performance for solving elliptic partial differential equations. In Recent advances in numerical Analysis. C. de Boor et al. Eds. New York: Academics Press, 143-175.

Othman M. & Abdullah A.R. 1998. The halfsweeps multigrid method as a fast multigrid poisson solver. Int. J. Comp. Math. 69: 319-329.

Rosser, J.B. 1975. Nine points difference solution for poisson’s equation. Comp Math. Appl. 1: 351-360.

Yousif, W.S. & Evans, D.J. 1995. Explicit De-coupled Group literative methods and their parallel implementations. Parallel algorithms and Applications 7: 53-71.

Young, D.M. 1976. Iterative Solution of Large Linear System. London: Academic Press.

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