A weak-intrusive stochastic finite element method for stochastic structural dynamics analysis

Z Zheng, M Beer, H Dai, U Nackenhorst - Computer Methods in Applied …, 2022 - Elsevier
This paper presents a weak-intrusive stochastic finite element method for solving stochastic
structural dynamics equations. In this method, the stochastic solution is decomposed into the …

Robust Level-Set-Based Topology Optimization Under Uncertainties Using Anchored ANOVA Petrov–Galerkin Method

C Audouze, A Klein, A Butscher, N Morris, P Nair… - SIAM/ASA Journal on …, 2023 - SIAM
We present a nonintrusive approach to robust structural topology optimization. Specifically,
we consider optimization of mean-and variance-based robustness metrics of a linear …

Anchored analysis of variance Petrov–Galerkin projection schemes for linear stochastic structural dynamics

L Gao, C Audouze, PB Nair - Proceedings of the …, 2015 - royalsocietypublishing.org
In this paper, we propose anchored functional analysis of variance Petrov–Galerkin (AAPG)
projection schemes, originally developed in the context of parabolic stochastic partial …

Scalable Domain Decomposition Methods for Nonlinear and Time-Dependent Stochastic Systems

P Vasudevan, S Sharma - 2023 - repository.library.carleton.ca
Computational modelling is one of the most important tools to understand and predict real-
life physical processes. However, the accuracy of their predictions becomes questionable …

[图书][B] Projection schemes for high-dimensional problems in stochastic structural dynamics

L Gao - 2018 - search.proquest.com
The focus of the present thesis is to formulate efficient schemes to solve high-dimensional
stochastic ordinary differential equations (SODEs) encountered in stochastic structural …

[图书][B] The anchored separated representation for high dimensional problems

MTC Li - 2015 - search.proquest.com
Although topics in science and engineering that involve dimensions beyond xyz appear
obscure, in truth numerous examples abound. For instance, uncertainty quantification …