工程中的随机有限元方法
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摘要
随机有限元法是在传统有限元法基础上发展起来的用于解决随机问题的一种有效的数值方法,近年来得到了广泛的关注和发展。在总结了国内外大量相关文献的基础上,对最近一段时期随机有限元方法的研究情况进行了较为详细的评述和讨论,首先给出了各种随机场的离散模型,然后对各种相关的研究方法和研究进展进行了系统总结,最后对随机有限元中尚需完善发展的几个问题进行了讨论。
Based on the traditional finite element method,stochastic finite element method(SFEM) is universally accepted as an efficient numerical one for stochastic problems,which receives significant attention and rich development in recent years,the literature on SFEM is covered and the state of arts in SFEM is surveyed with an emphasis on key developments in the last few decades.Enumerating various versions of discretization models of random field,the latest works and advances in engineering are reviewed in detail.And the comments on the further resarch are carried out.
引文
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