A stochastic finite element scheme for solving partial differential equations defined on random domains

Elucidating appealing features of differentiable auto-correlation functions: A study on the modified exponential kernel

(2022) Matthias G.R. Faes et al.   PROBABILISTIC ENGINEERING MECHANICS

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

(2022) Zhibao Zheng et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A new method for stochastic analysis of structures under limited observations

(2022) Hongzhe Dai et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

A hybrid collocation-perturbation approach for PDEs with random domains

(2021) Julio E. Castrillón-Candás et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Structural stochastic responses determination via a sample-based stochastic finite element method

(2021) Zhibao Zheng et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A sample-based iterative scheme for simulating non-stationary non-Gaussian stochastic processes

(2020) Zhibao Zheng et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Calculation of Second Order Statistics of Uncertain Linear Systems Applying Reduced Order Models

(2019) I.V. González et al.   RELIABILITY ENGINEERING & SYSTEM SAFETY

Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations

(2016) Julio E. Castrillón-Candás et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Smoothed finite element method for analysis of multi-layered systems – Applications in biomaterials

(2016) Eric Li et al.   COMPUTERS & STRUCTURES

Robust shape and topology optimization considering geometric uncertainties with stochastic level set perturbation

(2016) Wenbo Zhang et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Analysis of the domain mapping method for elliptic diffusion problems on random domains

(2016) H. Harbrecht et al.   NUMERISCHE MATHEMATIK

Integration of PGD-virtual charts into an engineering design process

(2015) Amaury Courard et al.   COMPUTATIONAL MECHANICS

Design-space dimensionality reduction in shape optimization by Karhunen–Loève expansion

(2015) Matteo Diez et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Stochastic finite elements of discretely parameterized random systems on domains with boundary uncertainty

(2014) A. Kundu et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Parametric solutions involving geometry: A step towards efficient shape optimization

(2013) Amine Ammar et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Extended stochastic FEM for diffusion problems with uncertain material interfaces

(2012) Christapher Lang et al.   COMPUTATIONAL MECHANICS

Fictitious domain method and separated representations for the solution of boundary value problems on uncertain parameterized domains

(2011) A. Nouy et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A new level-set based approach to shape and topology optimization under geometric uncertainty

(2011) Shikui Chen et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

eXtended Stochastic Finite Element Method for the numerical simulation of heterogeneous materials with random material interfaces

(2010) A. Nouy et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Stochastic projection schemes for deterministic linear elliptic partial differential equations on random domains

(2010) P. Surya Mohan et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids

(2010) G. Lin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An extended stochastic finite element method for solving stochastic partial differential equations on random domains

(2008) A. Nouy et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING