@inproceedings{scholars4026,
            year = {2013},
           title = {B-spline collocation with domain decomposition method},
             doi = {10.1088/1742-6596/423/1/012012},
          volume = {423},
         journal = {Journal of Physics: Conference Series},
          number = {1},
       publisher = {Institute of Physics Publishing},
            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},
         address = {Jakarta},
        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},
        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. {\^A}{\copyright} IOP Publishing Ltd 2013.},
            issn = {17426588},
             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},
          author = {Hidayat, M. I. P. and Ariwahjoedi, B. and Parman, S.}
}