At present, the prediction of failure probability is based on the operation period for laid
pipelines, and the method is complicated and time-consuming. If the failure probability can …

We suggest a novel approach for the efficient and reliable approximation of the Pareto front
of sufficiently smooth unconstrained biobjective optimization problems. Optimality conditions …

We consider the simultaneous optimization of the reliability and the cost of a ceramic
component in a biobjective PDE constrained shape optimization problem. A probabilistic …

Ceramic is a material frequently used in industry because of its favorable properties.
Common approaches in shape optimization for ceramic structures aim to minimize the …

The failure of a component often is the result of a degradation process that originates with
the formation of a crack. Fatigue describes the crack formation in the material under cyclic …

A simple multi-physical system for the potential flow of a fluid through a shroud, in which a
mechanical component, like a turbine vane, is placed, is modeled mathematically. We then …

This work provides a numerical calculation of shape gradients of failure probabilities for
mechanical components using a first discretize, then adjoin approach. While deterministic …

Krylov subspace recycling is a powerful tool when solving a long series of large, sparse
linear systems that change only slowly over time. In PDE constrained shape optimization …

In engineering applications one often has to trade-off among several objectives as, for
example, the mechanical stability of a component, its efficiency, its weight and its cost. We …

We consider the existence of optimal shapes in the context of the thermomechanical system
of partial differential equations (PDE) using the recent approach based on elliptic regularity …