3 papers
math.NA2026
Space-time tensor-product finite element methods for parabolic problems
Richard Löscher, Michael Reichelt, Olaf Steinbach
We study space-time Galerkin--Petrov formulations for parabolic evolution problems and their relation to classical implicit time-stepping schemes. Although such schemes are stable…
math.NA2025
Inclusion of an Inverse Magnetic Hysteresis Model into the Space-Time Finite Element Method for Magnetoquasistatics
Mario Gobrial, Lukas Domenig, Michael Reichelt +2
In this note we discuss the numerical solution of the eddy current approximation of the Maxwell equations using the simple Pragmatic Algebraic Model to include hysteresis effects.…
math.NA2024
Efficient Solution of State-Constrained Distributed Parabolic Optimal Control Problems
Richard Löscher, Michael Reichelt, Olaf Steinbach
We consider a space-time finite element method for the numerical solution of a distributed tracking-type optimal control problem subject to the heat equation with state constraints…