relation: https://khub.utp.edu.my/scholars/4026/
title: B-spline collocation with domain decomposition method
creator: Hidayat, M.I.P.
creator: Ariwahjoedi, B.
creator: Parman, S.
description: 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.
publisher: Institute of Physics Publishing
date: 2013
type: Conference or Workshop Item
type: PeerReviewed
identifier:   Hidayat, M.I.P. and Ariwahjoedi, B. and Parman, S.  (2013) B-spline collocation with domain decomposition method.  In: UNSPECIFIED.     
relation: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84876832081&doi=10.1088%2f1742-6596%2f423%2f1%2f012012&partnerID=40&md5=777071f6ebbf85de25a179786314c3a9
relation: 10.1088/1742-6596/423/1/012012
identifier: 10.1088/1742-6596/423/1/012012