Numerical Analysis of PDEs

• incompressible fluid flows;
• divergence-free finite elements and structure preservation (e.g. pressure-robustness);
• inhomogeneous boundary conditions and boundary approximation.

• F. E., J. Guzmán, M. Neilan, L. R. Scott, T. Tscherpel – A local Fortin projection for the Scott-Vogelius elements on general meshes, arXiv, 2025
• F. E., L. R. Scott, T. Tscherpel – Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions, arXiv, 2025