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 …

Purpose This paper aims to provide a comprehensive review of uncertainty quantification
methods supported by evidence-based comparison studies. Uncertainties are widely …

The article introduces a finite element procedure using the bilinear quadrilateral element or
four-node rectangular element (namely Q4 element) based on a refined first-order shear …

In this paper, we present a novel approach that combines isogeometric analysis (IGA) with
the higher-order shear deformation theory (HSDT) and Monte Carlo simulation (MCS). Our …

This paper develops a sparse grid stochastic collocation method for the reliability analysis of
structures with uncertain parameters and loads. The method consists of two standard …

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 …

Circular shafts are commonly required for urban development. Their construction often
encounters underground water, which can make shafts more prone to hydraulic heave and …

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 …

In this paper, topology optimization (TO) problems of structures subjected to design-
dependent loads are formulated in the context of a special density-based TO approach …

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 …