Hybrid Stochastic Finite Elements and Generalized Monte Carlo Simulation
Hybrid Stochastic Finite Elements and Generalized Monte Carlo Simulation
复制标题
混合随机有限元和广义蒙特卡罗模拟
DOI：
--
复制
发表时间：
1998
期刊：
影响因子：
--
通讯作者：
R. Ghanem
中科院分区：
文献类型：
--
作者：
R. Ghanem
开发了一种程序，将随机介质问题的分析解决方案与蒙特卡罗模拟相结合，以提高模拟效率。这是通过开发一个包含蒙特卡罗程序以及各种扩展求解技术的通用理论框架来实现的。该框架可以被视为混合确定性有限元程序的自然延伸，通过同时增加元素数量以及每个元素内插值的程度来实现细化。
A procedure is developed to integrate analytical solutions to problems featuring random media with Monte Carlo simulations in order to improve the efficiency of the simulations. This is achieved by developing a common theoretical framework that encompasses Monte Carlo procedures as well as various expansion solution techniques. This framework can be perceived as a natural extension of hybrid deterministic finite element procedures whereby refinement is achieved by simultaneously increasing the number of elements as well as the degree of interpolation within each element.