Surrogate modeling techniques are widely used to simulate the behavior of manufactured
and engineering systems. The construction of such surrogate models may become …

Surrogate modeling techniques such as polynomial chaos expansion (PCE) are widely used
to simulate the behavior of manufactured and physical systems for uncertainty quantification …

Advanced non-destructive monitoring scheme is necessary for modern-day lightweight
composite structures used in aerospace industry, due to their susceptibility to barely visible …

This paper deals with the applications of stochastic spectral methods for structural topology
optimization in the presence of uncertainties. A non-intrusive polynomial chaos expansion is …

A partitioned stochastic method (PSM) is proposed for the solution of static structural
mechanics problems with uncertainties, whose solution vectors are the displacements for …

In the drive towards net zero the aerospace industry is motivated to develop more efficient
aerostructures that can accommodate the next generation of propulsion systems that fall …

The local size of computational grids used in partial differential equation (PDE)-based
probabilistic inverse problems can have a tremendous impact on the numerical results. As a …

Multi-parameter sensitivity algorithms can be used to construct a Hessian matrix and second-
degree Taylor expansion. In terms of an asymmetric dynamic system, two multi-parameter …

The presented adaptive modeling approach aims to jointly control the level of refinement for
each of the building blocks employed in a typical chain of finite element approximations for …

The optimisation of discretisation and stochastic errors under a single criterion is not a
simple task. The nature of the errors derived from both phenomena is totally different and so …