Plasma and Fusion Research

Volume 11, 2401062 (2016)

Regular Articles

Performance Improvement of Extended Boundary Node Method for Solving Elliptic Boundary-Value Problems
Ayumu SAITOH, Teruou TAKAYAMA1), Atsushi KAMITANI and Hiroaki NAKAMURA2)
Graduate School of Science and Engineering, Yamagata University, Yonezawa 992-8510, Japan
Department of Informatics, Yamagata University, Yonezawa 992-8510, Japan
National Institute for Fusion Science, Toki 509-5292, Japan
(Received 30 November 2015 / Accepted 14 March 2016 / Published 17 May 2016)


The extended boundary-node method (X-BNM) with the hierarchical-matrix (H-matrix) method has been developed and its performance has been investigated numerically. The results of computations show that the solver speed of the X-BNM with the H-matrix method is much faster than that of the standard X-BNM for the case where the number of boundary nodes exceeds a certain limit. Furthermore, the accuracy of the X-BNM with the H-matrix method is almost equal to that of the standard X-BNM. From these results, it is found that the H-matrix method is useful as the acceleration technique of the X-BNM.


elliptic boundary-value problems, boundary integral equations, meshless method, Krylov subspace methods, H-matrix, numerical analysis

DOI: 10.1585/pfr.11.2401062


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