Goal-Oriented Error Estimation and Adaptivity for Free-Boundary Problems: The Shape-Linearization Approach

We develop duality-based a posteriori error estimates for functional outputs of solutions of free-boundary problems via shape-linearization principles. To derive an appropriate dual (linearized adjoint) problem, we linearize the domain dependence of the very weak form and goal functional of interest using techniques from shape calculus. We show...

Three-dimensional finite element analysis of tunnels and foundations. (Analyse tridimensionnelle aux elements finis de tunnels et de fondations)

Gradient plasticity in numerical simulation of concrete cracking

Stochastic approaches for damage evolution in standard and non-standard continua

A generalisation of J2-flow theory for polar continua

Integration of plasticity equations for singular yield functions