The stochastic finite element method: past, present and future
G Stefanou - Computer methods in applied mechanics and …, 2009 - Elsevier
A powerful tool in computational stochastic mechanics is the stochastic finite element
method (SFEM). SFEM is an extension of the classical deterministic FE approach to the …
method (SFEM). SFEM is an extension of the classical deterministic FE approach to the …
Stochastic finite elements: Computational approaches to stochastic partial differential equations
HG Matthies - ZAMM‐Journal of Applied Mathematics and …, 2008 - Wiley Online Library
Uncertainty estimation arises at least implicitly in any kind of modelling of the real world, and
it is desirable to actually quantify the uncertainty in probabilistic terms. Here the emphasis is …
it is desirable to actually quantify the uncertainty in probabilistic terms. Here the emphasis is …
Solving stochastic systems with low-rank tensor compression
HG Matthies, E Zander - Linear Algebra and its Applications, 2012 - Elsevier
For parametrised equations, which arise, for example, in equations dependent on random
parameters, the solution naturally lives in a tensor product space. The application which we …
parameters, the solution naturally lives in a tensor product space. The application which we …
Stochastic finite elements analysis of large concrete structures' serviceability under thermo-hydro-mechanical loads–Case of nuclear containment buildings
This work proposes a global Stochastic Finite Element Method (SFEM) to model the effects
of concrete ageing uncertainties on the serviceability and durability of large reinforced and …
of concrete ageing uncertainties on the serviceability and durability of large reinforced and …
A reliability-based approach for the design of rockfall protection fences
This paper proposes a method for improving the design of rockfall protection fences and
accounting for the variability of loading cases. It is based on a probabilistic reliability …
accounting for the variability of loading cases. It is based on a probabilistic reliability …
An efficient SFE method using Lagrange polynomials: application to nonlinear mechanical problems with uncertain parameters
J Baroth, P Bressolette, C Chauvière, M Fogli - Computer methods in …, 2007 - Elsevier
Designing efficient numerical methods for the solution of stochastic partial differential
equations with random inputs or random coefficients is meeting growing interest. So far, the …
equations with random inputs or random coefficients is meeting growing interest. So far, the …
A non-intrusive B-splines Bézier elements-based method for uncertainty propagation
A Abdedou, A Soulaimani - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
A non-intrusive B-Splines Bézier Elements based Method (BSBEM) is proposed as an
efficient tool for uncertainty propagation analysis in physical hyperbolic problems. The …
efficient tool for uncertainty propagation analysis in physical hyperbolic problems. The …
Probabilistic analysis of concrete cracking using stochastic finite element methods: application to nuclear containment buildings at early age
In the case of quasi-homogeneously applied tensile loads, the intrinsic scattering of concrete
properties leads to spatially random strain localization, crack initiation and propagation. The …
properties leads to spatially random strain localization, crack initiation and propagation. The …
[图书][B] Mechanics and uncertainty
M Lemaire - 2014 - books.google.com
Science is a quest for certainty, but lack of certainty is the driving force behind all of its
endeavors. This book, specifically, examines the uncertainty of technological and industrial …
endeavors. This book, specifically, examines the uncertainty of technological and industrial …
平稳随机激励下随机结构动力可靠度分析的多项式逼近法
乔红威， 吕震宙， 关爱锐， 刘旭华 - 工程力学, 2009 - engineeringmechanics.cn
针对平稳随机激励下随机结构动力可靠度分析问题, 在分裂法和Hermite 多项式逼近的基础之上,
建立了一种新的计算随机结构动力可靠度的方法. 所提方法运用分裂法的思想将多维动力可靠度 …
建立了一种新的计算随机结构动力可靠度的方法. 所提方法运用分裂法的思想将多维动力可靠度 …