Finite elements for Matérn-type random fields: Uncertainty in computational mechanics and design optimization

T Duswald, B Keith, B Lazarov, S Petrides… - Computer Methods in …, 2024 - Elsevier
This work highlights an approach for incorporating realistic uncertainties into scientific
computing workflows based on finite elements, focusing on prevalent applications in …

Monolithic convex limiting and implicit pseudo-time stepping for calculating steady-state solutions of the Euler equations

P Moujaes, D Kuzmin - arXiv preprint arXiv:2407.03746, 2024 - arxiv.org
In this work, we use the monolithic convex limiting (MCL) methodology to enforce relevant
inequality constraints in implicit finite element discretizations of the compressible Euler …