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场位解析延拓的稳定化算法 被引量:11
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作者 栾文贵 《地球物理学报》 1983年第3期263-274,共12页
本文讨论场位解析延拓的稳定化算法。首先叙述问题的古典提法,并且为以后作准备,将它化成另一类不适定问题。接着建立问题解的连续依赖性估计。然后根据这个估计式,将问题化成求解一个条件变分问题。最后利用正则化方法解这个变分问题,... 本文讨论场位解析延拓的稳定化算法。首先叙述问题的古典提法,并且为以后作准备,将它化成另一类不适定问题。接着建立问题解的连续依赖性估计。然后根据这个估计式,将问题化成求解一个条件变分问题。最后利用正则化方法解这个变分问题,得到问题解的一个稳定化的计算公式。 展开更多
关键词 不适定问题 稳定化算法 场位解析延拓
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定常Navier-Stokes方程低阶混合有限元的压力投影稳定化方法 被引量:2
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作者 王爱文 李剑 谢冬秀 《工程数学学报》 CSCD 北大核心 2010年第2期249-257,共9页
针对低阶协调有限元对Q1-P0,P1-P0,对二维定常不可压缩Navier-Stokes方程,提出了建立在局部压力投影上的一类稳定化有限元方法。与其它的稳定化方法相比,稳定项不需要介入稳定化参数,不用进行高阶导数的运算,或者边界积分,稳定在局部单... 针对低阶协调有限元对Q1-P0,P1-P0,对二维定常不可压缩Navier-Stokes方程,提出了建立在局部压力投影上的一类稳定化有限元方法。与其它的稳定化方法相比,稳定项不需要介入稳定化参数,不用进行高阶导数的运算,或者边界积分,稳定在局部单元上进行,且容易编程实现。针对稳定化有限元逼近解,证明了最优的误差估计。数值实验表明,该方法有很好的稳定性和收敛性。 展开更多
关键词 Navier.Stokes方程 稳定化有限元算法 低阶有限元对 局部压力投影
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A new hybrid algorithm for global optimization and slope stability evaluation 被引量:3
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作者 Taha Mohd Raihan Khajehzadeh Mohammad Eslami Mahdiyeh 《Journal of Central South University》 SCIE EI CAS 2013年第11期3265-3273,共9页
A new hybrid optimization algorithm was presented by integrating the gravitational search algorithm (GSA) with the sequential quadratic programming (SQP), namely GSA-SQP, for solving global optimization problems a... A new hybrid optimization algorithm was presented by integrating the gravitational search algorithm (GSA) with the sequential quadratic programming (SQP), namely GSA-SQP, for solving global optimization problems and minimization of factor of safety in slope stability analysis. The new algorithm combines the global exploration ability of the GSA to converge rapidly to a near optimum solution. In addition, it uses the accurate local exploitation ability of the SQP to accelerate the search process and find an accurate solution. A set of five well-known benchmark optimization problems was used to validate the performance of the GSA-SQP as a global optimization algorithm and facilitate comparison with the classical GSA. In addition, the effectiveness of the proposed method for slope stability analysis was investigated using three ease studies of slope stability problems from the literature. The factor of safety of earth slopes was evaluated using the Morgenstern-Price method. The numerical experiments demonstrate that the hybrid algorithm converges faster to a significantly more accurate final solution for a variety of benchmark test functions and slope stability problems. 展开更多
关键词 gravitational search algorithm sequential quadratic programming hybrid algorithm global optimization slope stability
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Discontinuous flying particle swarm optimization algorithm and its application to slope stability analysis 被引量:10
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作者 李亮 于广明 +1 位作者 陈祖煜 褚雪松 《Journal of Central South University》 SCIE EI CAS 2010年第4期852-856,共5页
A new version of particle swarm optimization(PSO) called discontinuous flying particle swarm optimization(DFPSO) was proposed,where not all of the particles refreshed their positions and velocities during each iterati... A new version of particle swarm optimization(PSO) called discontinuous flying particle swarm optimization(DFPSO) was proposed,where not all of the particles refreshed their positions and velocities during each iteration step and the probability of each particle in refreshing its position and velocity was dependent on its objective function value.The effect of population size on the results was investigated.The results obtained by DFPSO have an average difference of 6% compared with those by PSO,whereas DFPSO consumes much less evaluations of objective function than PSO does. 展开更多
关键词 slope stability limit equilibrium method factor of safety particle swarm optimization.
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