5 papers
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…
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.…
Optimal complexity solution of space-time finite element systems for state-based parabolic distributed optimal control problems
Richard Löscher, Michael Reichelt, Olaf Steinbach
We consider a distributed optimal control problem subject to a parabolic evolution equation as constraint. The control will be considered in the energy norm of the anisotropic Sobo…
An Air-Gap Element for the Isogeometric Space-Time-Simulation of Electric Machines
Michael Reichelt, Michael Wiesheu, Melina Merkel +2
Space-time methods promise more efficient time-domain simulations, in particular of electrical machines. However, most approaches require the motion to be known in advance so that…
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…