A Chebyshev polynomial-based Galerkin method for the discretization of spatially varying random properties

The uncertainty related to the spatially varying random property requires to be described as a random field, which in definition consists of an infinite number of random variables that are attached to each point of a continuous domain of the random field. The utility of Karhunen–Loeve expansion allows to represent the random field as the summation of a series of deterministic functions and random variables. By this way, the random field is...