B-spline collocation with domain decomposition method

M. I.P. Hidayat, B. Ariwahjoedi, S. Parman

Research output: Contribution to journalConference articlepeer-review

5 Citations (Scopus)


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.

Original languageEnglish
Article number012012
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - 2013
Externally publishedYes
Event2013 International Conference on Science and Engineering in Mathematics, Chemistry and Physics, ScieTech 2013 - Jakarta, Indonesia
Duration: 24 Jan 201325 Jan 2013


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