Citation
Nik Mazlan, Nik Amir Syafiq and Othman, Mohamed and Senu, Norazak
(2016)
An adaptive hierarchical matrix on point iterative Poisson solver.
Malaysian Journal of Mathematical Sciences, 10 (3).
pp. 369-382.
ISSN 1823-8343; ESSN: 2289-750X
Abstract
In this paper, an adaptive hierarchical matrix (H-matrix) points iterative method based solution was proposed to solve two-dimensional Poisson problem with Dirichlet boundary condition. The finite difference approximation was used to discretize the problem, which led to a system of linear equation. Two types of admissibility conditions, standard and weak, produces two different H-matrix structures, HS- and HW- respectively. The adaption of the H-matrices to a linear system leads to the saving of memory utilization. An experiment was conducted which compares the proposed HW-matrix with the benchmarked HS-matrix. The results showed the superiority of the proposed method when comparing both H-matrix structures.
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Official URL or Download Paper: http://einspem.upm.edu.my/journal/fullpaper/vol10n...
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Computer Science and Information Technology Institute for Mathematical Research |
| Publisher: | Institute for Mathematical Research, Universiti Putra Malaysia |
| Keywords: | Adaptive hierarchical matrix; Point iterative solver; Poisson equation; Finite difference approximation |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 05 Jun 2017 09:15 |
| Last Modified: | 05 Jun 2017 09:15 |
| URI: | http://psasir.upm.edu.my/id/eprint/52329 |
| Statistic Details: | View Download Statistic |
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