eprintid: 4026
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/00/40/26
datestamp: 2023-11-09 15:52:18
lastmod: 2023-11-09 15:52:18
status_changed: 2023-11-09 15:48:09
type: conference_item
metadata_visibility: show
creators_name: Hidayat, M.I.P.
creators_name: Ariwahjoedi, B.
creators_name: Parman, S.
title: B-spline collocation with domain decomposition method
ispublished: pub
keywords: Domain decomposition methods; Interpolation; Partial differential equations; Plates (structural components); Polynomials, B-spline approximation; B-spline collocation method; Bezier approximation; Collocation points; Combination method; Elliptic partial differential equation; Overlapping domain decomposition; Schwarz algorithm, Splines
note: cited By 5; Conference of 2013 International Conference on Science and Engineering in Mathematics, Chemistry and Physics, ScieTech 2013 ; Conference Date: 24 January 2013 Through 25 January 2013; Conference Code:96723
abstract: A global B-spline collocation method has been previously developed and successfully implemented by the present authors for solving elliptic partial differential equations in arbitrary complex domains. However, the global B-spline approximation, which is simply reduced to Bezier approximation of any degree p with C0 continuity, has led to the use of B-spline basis of high order in order to achieve high accuracy. The need for B-spline bases of high order in the global method would be more prominent in domains of large dimension. For the increased collocation points, it may also lead to the ill-conditioning problem. In this study, overlapping domain decomposition of multiplicative Schwarz algorithm is combined with the global method. Our objective is two-fold that improving the accuracy with the combination technique, and also investigating influence of the combination technique to the employed B-spline basis orders with respect to the obtained accuracy. It was shown that the combination method produced higher accuracy with the B-spline basis of much lower order than that needed in implementation of the initial method. Hence, the approximation stability of the B-spline collocation method was also increased. © IOP Publishing Ltd 2013.
date: 2013
publisher: Institute of Physics Publishing
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84876832081&doi=10.1088%2f1742-6596%2f423%2f1%2f012012&partnerID=40&md5=777071f6ebbf85de25a179786314c3a9
id_number: 10.1088/1742-6596/423/1/012012
full_text_status: none
publication: Journal of Physics: Conference Series
volume: 423
number: 1
place_of_pub: Jakarta
refereed: TRUE
issn: 17426588
citation:   Hidayat, M.I.P. and Ariwahjoedi, B. and Parman, S.  (2013) B-spline collocation with domain decomposition method.  In: UNSPECIFIED.