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.…
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…
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…