TY  - CONF
AV  - none
CY  - Jakarta
KW  - Domain decomposition methods; Interpolation; Partial differential equations; Plates (structural components); Polynomials
KW  -  B-spline approximation; B-spline collocation method; Bezier approximation; Collocation points; Combination method; Elliptic partial differential equation; Overlapping domain decomposition; Schwarz algorithm
KW  -  Splines
TI  - B-spline collocation with domain decomposition method
ID  - scholars4026
N2  - 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.
N1  - 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
SN  - 17426588
PB  - Institute of Physics Publishing
Y1  - 2013///
VL  - 423
UR  - https://www.scopus.com/inward/record.uri?eid=2-s2.0-84876832081&doi=10.1088%2f1742-6596%2f423%2f1%2f012012&partnerID=40&md5=777071f6ebbf85de25a179786314c3a9
A1  - Hidayat, M.I.P.
A1  - Ariwahjoedi, B.
A1  - Parman, S.
ER  -