Half-Sweep Algebraic Multigrid (HSAMG) Method Applied to Diffusion Equations

J. Sulaiman (), M. Othman () and M. K. Hasan ()
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J. Sulaiman: Universiti Malaysia Sabah, School of Science and Technology
M. Othman: University Putra Malaysia, Department of Communication Technology and Network
M. K. Hasan: Universiti Kebangsaan Malaysia, Department of Industrial Computing, Faculty of Information Science and Technology

A chapter in Modeling, Simulation and Optimization of Complex Processes, 2008, pp 547-556 from Springer

Abstract: Abstract In previous studies, the efficiency of the Half-Sweep Multigrid (HSMG) method has been shown to be very fast as compared with the standard multigrid method. This is due to its ability to reduce computational complexity of the standard method. In this paper, the primary goal is to propose the Half-Sweep Algebraic Multigrid (HSAMG) method using the HSCN finite difference scheme for solving two-dimensional diffusion equations. The formulation of the HSAMG scheme is derived by borrowing the concept of the HSMG method. Results on some numerical experiments conducted show that the HSAMG method is superior to the standard algebraic method.

Keywords: Multigrid Method; Triangle Element; Waveform Relaxation; Share Memory Multiprocessor; Algebraic Multigrid Method (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-79409-7_40

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DOI: 10.1007/978-3-540-79409-7_40

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