Probabilistic analysis is increasing in popularity and importance within engineering and the
applied sciences. However, the stochastic perturbation technique is a fairly recent …

In this study, we attempt to obtain higher-order solutions of the means and (co) variances of
hydraulic head for saturated flow in randomly heterogeneous porous media on the basis of …

This article is a review of the work that has been done in a sub-field of soil mechanics,
namely stochastic soil dynamics, whereby the ground is viewed as a material whose …

The finite element method (FEM) can be successfully applied to various field problems in
solid mechanics, fluid mechanics and electrical engineering. FEM is a numerical method …

The accurate modeling of flow and transport in the vadose zone for agricultural and
environmental applications requires knowledge about soil parameters. Soil parameters vary …

In this study, a stochastic model for transient saturated–unsaturated flow is developed based
on the Karhunen-Loeve expansion of the input random soil properties combined with a …

Randomness in heat transfer problems is found in both the sources (input) and in the
properties. In contrast to structural problems in which damping tends to be small or …

In this paper, the stochastic boundary element method of piezoelectric problems with
randomness of material parameters and randomness of applied loads is proposed. By using …

Background This study tested a first-order perturbation method based on Karhunen-Loevè
expansion (FP-KLE), to analyze flood inundation modeling under uncertainty. The floodplain …

In the field of underground radioactive waste disposal, complex computer models are used
to describe the flow of groundwater through rocks. An important property in this context is …