| 求解椭圆型微分方程边值问题的虚边界元-最小二乘法 |
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| 引用本文： | 孙焕纯,沈玉凤,邹广德.求解椭圆型微分方程边值问题的虚边界元-最小二乘法[J].大连理工大学学报,1997(3). |
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| 作者姓名： | 孙焕纯 沈玉凤 邹广德 |
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| 作者单位： | 大连理工大学工程力学系，山东工程学院 |
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| 摘 要： | 针对求解椭圆型偏微分方程的边值问题，采用了虚边界元－最小二乘法．该法简单直观、物理意义清晰、解析性强．与区域型方法相比，具有存储少、数据准备方便、节省机时、精度高；与传统边界元法相比，具有无奇异积分、边界附近精度高等优点
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| 关 键 词： | 椭圆型方程 偏微分方程 边值问题 基本解 最小二乘法／虚边界元法 |
Virtual boundary element least square method for solving boundary value problems of elliptic partial differential equations |
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| Sun\ Huanchun.Virtual boundary element least square method for solving boundary value problems of elliptic partial differential equations[J].Journal of Dalian University of Technology,1997(3). |
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| Authors: | Sun\ Huanchun |
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| Abstract: | The method proposed is a direct and a very accurate one to solve the boundary value problems of the elliptic partial differential equations. There are not singular integrals to be treated. Two numerical examples show that it is more efficient and more accurate than the classical boundary element method. |
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| Keywords: | elliptic equations partial differential equations boundary value problems fundamental solutions least squares methods/virtual boundary element methods |
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