%0 Conference Paper
%A Hidayat, M.I.P.
%A Ariwahjoedi, B.
%A Parman, S.
%D 2013
%F scholars:4026
%I Institute of Physics Publishing
%K 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
%N 1
%R 10.1088/1742-6596/423/1/012012
%T B-spline collocation with domain decomposition method
%U https://khub.utp.edu.my/scholars/4026/
%V 423
%X 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.
%Z 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