| 基于双层位势的Poisson方程无奇异方法 |
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| 引用本文： | 林鑫,高发玲.基于双层位势的Poisson方程无奇异方法[J].江汉大学学报(自然科学版),2014(2):31-33. |
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| 作者姓名： | 林鑫 高发玲 |
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| 作者单位： | 青岛理工大学琴岛学院,山东青岛266106 |
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| 摘 要： | 针对求解Poisson方程的边值问题,利用虚边界上分布的矩密度,得出基于双层位势的虚边界元方程。该方法有效地避免了奇异和强奇异积分的计算。数值算例证明了算法的有效性和精确性。
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| 关 键 词： | Poisson方程 边值问题 双层位势 虚边界元 |
A Nonsingular Method Based on Double Layer Potential for Poisson Equation |
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| LIN Xin,GAO Faling.A Nonsingular Method Based on Double Layer Potential for Poisson Equation[J].Journal of Jianghan University:Natural Sciences,2014(2):31-33. |
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| Authors: | LIN Xin GAO Faling |
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| Institution: | (Qindao College, Qingdao Technological University ,Qingdao 266106, Shandong, China) |
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| Abstract: | Towards the boundary problem of Poisson equation,different from the virtual boundaryelement equation based on the single layer potential,another virtual boundary collocation method（VBCM）is conducted based on double layer potential for Poisson problem,with the moment densitydistributed on the virtual boundary. The VBCM can avoid the singular,hyper-singular integral,thenumerical example presents the efficiency and accuracy of the method. |
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| Keywords: | Poisson equation boundary value problems double-layer potential virtual boundary element |
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