The stochastic finite element method: Past, present and future

被引：799

作者：

Stefanou, George ^{[1
]}

机构：

[1] Natl Tech Univ Athens, Inst Struct Anal & Seism Res, Athens 15780, Greece

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2009年 / 198卷 / 9-12期

关键词：

Stochastic processes and fields; Stochastic finite elements; Stochastic partial differential equations; Monte Carlo simulation; Solution techniques; Parallel processing; NON-GAUSSIAN SIMULATION; KARHUNEN-LOEVE EXPANSION; PARTIAL-DIFFERENTIAL-EQUATIONS; NONLINEAR MECHANICAL PROBLEMS; GENERALIZED POLYNOMIAL CHAOS; WEIGHTED INTEGRAL METHOD; RESPONSE VARIABILITY; BUCKLING ANALYSIS; COMPUTATIONAL-PROCEDURE; ELASTIC PROPERTIES;

D O I：

10.1016/j.cma.2008.11.007

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A powerful tool in computational stochastic mechanics is the stochastic finite element method (SFEM). SFEM is in extension of the classical deterministic FE approach to the stochastic framework i.e. to the solution of static and dynamic problems with stochastic mechanical, geometric and/or loading properties. The considerable attention that SFEM received over the last decade call be mainly attributed to the Spec tacular growth of computing Power rendering possible the efficient treatment of large-scale problems. This article aims at providing a state-of-the-art review of past and recent developments in the SFEM area and indicating future directions as well as some open issues to be examined by the computational mechanics community in the future. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：1031 / 1051

页数：21

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