New Implementation Method for Essential Boundary Condition to Extended Element-Free Galerkin Method: Application to Nonlinear Problem
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概要
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A new method has been proposed for implementing essential boundary conditions to the Element-Free Galerkin Method (EFGM) without using the Lagrange multiplier. Furthermore, the performance of the proposed method has been investigated for a nonlinear Poisson problem. The results of computations show that, as interpolation functions become closer to delta functions, the accuracy of the solution is improved on the boundary. In addition, the accuracy of the proposed method is higher than that of the conventional EFGM. Therefore, it might be concluded that the proposed method is useful for solving the nonlinear Poisson problem.
著者
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Nakamura Hiroaki
National Inst. Fusion Sci. Toki Jpn
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KAMITANI Atsushi
Yamagata University, 4-3-16, Johnan, Yonezawa 992-8510, Japan
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SAITOH Ayumu
University of Hyogo, 2167 Shosha, Himeji, Hyogo 671-2280, Japan
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ITOH Taku
Seikei University, 3-3-1, Kichijoji-Kitamachi, Musashino, Tokyo 180-8633, Japan
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MATSUI Nobuyuki
University of Hyogo, Himeji 671-2280, Japan
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ITOH Taku
Seikei University, 3-3-1 Kichijoji-kitamachi, Musashino, Tokyo 180-8633, Japan
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ITOH Taku
Seikei University, 3-3-1, Kichijoji-Kitamachi, Musashino 180-8633, Japan
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SAITOH Ayumu
University of Hyogo
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SAITOH Ayumu
University of Hyogo, Himeji 671-2280, Japan
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