3 papers
math.NA2026
Realizability-preserving finite element discretizations of the model for dose calculation in proton therapy
Paul Moujaes, Dmitri Kuzmin, Christian Bäumer
We present a deterministic framework for proton therapy dose calculation based on finite element discretizations of the energy-dependent moment model. The nonlinear sys…
math.NA2025
Realizability-preserving monolithic convex limiting in continuous Galerkin discretizations of the M1 model of radiative transfer
Paul Moujaes, Dmitri Kuzmin, Christian Bäumer
We discretize the model of radiative transfer using continuous finite elements and propose a tailor-made monolithic convex limiting (MCL) procedure for enforcing physical rea…
math.NA2024
Monolithic convex limiting and implicit pseudo-time stepping for calculating steady-state solutions of the Euler equations
Paul Moujaes, Dmitri Kuzmin
In this work, we use the monolithic convex limiting (MCL) methodology to enforce relevant inequality constraints in implicit finite element discretizations of the compressible Eule…