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 …

This paper presents a review of the current state-of-the-art of numerical methods for
stochastic computations. The focus is on efficient high-order methods suitable for practical …

Polynomial chaos (PC) expansions are used in stochastic finite element analysis to
represent the random model response by a set of coefficients in a suitable (so-called …

Recently there has been a growing interest in designing efficient methods for the solution of
ordinary/partial differential equations with random inputs. To this end, stochastic Galerkin …

The computational efficiency of random field representations with the Karhunen–Loève (KL)
expansion relies on the solution of a Fredholm integral eigenvalue problem. This …

This paper presents a robust approach for the design of macro-, micro-, or nano-structures
by means of topology optimization, accounting for spatially varying manufacturing errors …

Mathematical models are widely used in many science disciplines, such as physics, biology
and meteorology. They are aimed at better understanding and explaining real-world …

A new approach for evaluation of the extreme value distribution and dynamic reliability
assessment of nonlinear structures with uncertain parameters is proposed. The approach is …

This study examines the effect of random heterogeneity of soil properties on bearing
capacity. The stochastic soil property considered is the undrained shear strength and two …

This paper aims to investigate the impact of copula selection on geotechnical reliability
under incomplete probability information. The copula theory is introduced briefly. Thereafter …