| 解结构动力问题的半隐式Runge-Kutta型并行直接积分法 |
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| 引用本文： | 周树荃,高科华.解结构动力问题的半隐式Runge-Kutta型并行直接积分法[J].计算物理,1992,9(2):133-138. |
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| 作者姓名： | 周树荃 高科华 |
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| 作者单位： | 南京航空学院, 南京 210016 |
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| 摘 要： | 本文利用三级三阶半隐式Runge-Kutta法解结构动力问题,并用多项式预处理共轭梯度法解有关方程组。提出了半隐式Runge-Kutta型并行直接积分法RK33P。在YH-1机上,与相应的串行算法RK33S相比较,当有关方程组的阶数为103~104时,加速比可达24~27。
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| 关 键 词： | 并行直接积分法 龙格-库塔型平行方法 多项式预处理共轭梯度法 |
| 收稿时间： | 1991-05-29 |
| 修稿时间： | 1991-11-30 |
SIMI-IMPLICIT RUNGE-KUTTA TYPE PARALLEL DIRECT INTEGRATION METHODS FOR STRUCTURAL DYNAMIC PROBLEM |
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| Zhou Shuquan,Gao kehua.SIMI-IMPLICIT RUNGE-KUTTA TYPE PARALLEL DIRECT INTEGRATION METHODS FOR STRUCTURAL DYNAMIC PROBLEM[J].Chinese Journal of Computational Physics,1992,9(2):133-138. |
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| Authors: | Zhou Shuquan Gao kehua |
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| Institution: | Nanjing Aeronautical Institute |
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| Abstract: | This paper presents simiimplicit Runge-kutta type parallel direct integration methods to solve structural dynamic problems using 3-stage-3-order semi-implicit Runge-kutta method and using polynomial preconditioned conjugate gradient method for solving relevant systems of linear algebraic equations. Compared with relevant serical algorithm RK33S on YH-1 computer, parallel algorithm RK33P's speed up is 24~27 when linear systems of equations involved is of order 103~104. |
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| Keywords: | parallel direct integration method Runge-kutta type parallel method polynomial preconditionings for the conjugate gradient method |
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