Random geometries for optimal control PDE problems based on fictitious domain FEMS and cut elements

no code implementations • 29 Feb 2020 • Aikaterini Aretaki, Efthymios N. Karatzas

The variational discretization concept is adopted, optimal error estimates for the state, adjoint state, and control are derived that confirm the efficiency of the cut finite element method in challenging geometries.

Numerical Analysis Numerical Analysis 65C05, 65N55, 65N85, 49J20, 35Q93, 35R60

Projection-based reduced order models for a cut finite element method in parametrized domains

no code implementations • 12 Jan 2019 • Efthymios N. Karatzas, Francesco Ballarin, Gianluigi Rozza

This work presents a reduced order modelling technique built on a high fidelity embedded mesh finite element method.

Numerical Analysis Numerical Analysis 78M34, 97N40, 35Q35