An adaptive hierarchical matrix on point iterative Poisson solver
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....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute for Mathematical Research, Universiti Putra Malaysia
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/52329/1/10.%20Nik%20n%20MO.pdf http://psasir.upm.edu.my/id/eprint/52329/ http://einspem.upm.edu.my/journal/fullpaper/vol10no3/10.%20Nik%20n%20MO.pdf |
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| Summary: | 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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