| 极坐标系下Poisson方程的局部间断有限元方法 |
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| 引用本文： | 卢飞,赵彦普. 极坐标系下Poisson方程的局部间断有限元方法[J]. 科技通报, 2012, 28(4): 17-19 |
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| 作者姓名： | 卢飞 赵彦普 |
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| 作者单位： | 1. 中国人民解放军93756部队,天津,300131
2. 香港理工大学,香港 |
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| 摘 要： | 考虑圆形、扇形等区域上的Poisson方程的局部间断有限元方法 ,给出了极坐标系下Poisson方程的局部间断有限元格式并给出了数值实验结果。如果所求解的问题充分光滑,数值实验表明:在k次间断有限元空间求解时,原始变量的误差阶可以达到k+1阶,而辅助变量的误差阶可达到k阶。
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| 关 键 词： | 极坐标 局部间断有限元 Poisson方程 |
Local Discontinuous Galerkin Method for the Poisson Equation in Polar Coordinates |
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| LU Fei , ZHAO Yanpu. Local Discontinuous Galerkin Method for the Poisson Equation in Polar Coordinates[J]. Bulletin of Science and Technology, 2012, 28(4): 17-19 |
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| Authors: | LU Fei ZHAO Yanpu |
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| Affiliation: | 1,93756 PLA troops,Tianjin 300131,China;2,The Hong Kong Polytechnic University,Hong Kong,China) |
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| Abstract: | In this paper we consider the LDG method for the Poisson equation in disk or fan-shaped domain.Numerical scheme is given for the LDG method and numerical experiments are implemented also.Numerical results show that when the problem considered is sufficiently smooth,(k+1)-th order of convergence for the primal variable,k-th order of convergence for the auxiliary variable can be obtained if the k-th order discontinuous polynomial space is used. |
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| Keywords: | polar coordinates local discontinuous Galerkin finite element Poisson equation |
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