| 二维弹性新型快速多极虚边界元的最小二乘法 |
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| 引用本文： | 司炜,徐杰.二维弹性新型快速多极虚边界元的最小二乘法[J].应用力学学报,2012,29(1):81-86,120. |
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| 作者姓名： | 司炜 徐杰 |
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| 作者单位： | 1. 同济大学建筑工程系,上海,200092
2. 山东建筑大学土木学院,济南,250101 |
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| 摘 要： | 在虚边界元最小二乘法的方程求解中采用新型的快速多极展开和广义极小残值法,提出了一种二维弹性新型快速多极虚边界元最小二乘法的求解思想。基于二维弹性问题原有的快速多极虚边界元最小二乘法的展开格式,通过引入对角化的概念,以更新展开传递格式;相对于原有快速多极算法,该方法可进一步提高计算效率且仍能保证具有较高的计算精度。数值算例说明了该方法的可行性、计算效率、计算精度均较高。
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| 关 键 词： | 新型快速多极算法 广义极小残值法 虚边界元 最小二乘 对角化 |
A new fast multipole virtual boundary element-least square method for solving two-dimensional elastostatics |
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| Si Wei Xu Jie.A new fast multipole virtual boundary element-least square method for solving two-dimensional elastostatics[J].Chinese Journal of Applied Mechanics,2012,29(1):81-86,120. |
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| Authors: | Si Wei Xu Jie |
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| Institution: | Si Wei Xu Jie(Department of Building Engineering,Tongji University,200092,Shanghai,China) |
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| Abstract: | The new fast multipole method(FMM) and the generalized minimal residual(GMRES) algorithm are jointly employed to solve the equations related to virtual boundary element-least square method,and the idea of the two-dimensional new fast multipole virtual boundary element-least square method is proposed.The numerical scheme which is suitable for original FMM with respect to two-dimensional problem of elasticity is updated,through the introduction of diagonalization concept,for the purpose to further improve the efficiency of the problem with almost same high-precision.The feasibility,efficiency and calculating precision of the method are demonstrated by the numerical examples relating to simulation of large-scale elastostatics. |
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| Keywords: | new fast multipole method(FMM) generalized minimal residual algorithm(GMRES) virtual boundary element(VBEM) least square method diagonalization |
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