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Dr. Michael Reichelt

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Publications
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Publications

Theses, journal articles, preprints, and proceedings.

Theses

Elliptic space-time methods for parabolic PDEs with applications

PhD thesis in Mathematics, Graz University of Technology, 2026.

Numerical analysis of 3D perturbations in Tokamak plasmas

Master’s thesis in Technical Physics, Graz University of Technology / University of Graz, 2023.

A stable finite element formulation for the wave equation in space-time

Master’s thesis in Mathematics, Graz University of Technology / University of Graz, 2022.

Articles, Preprints, and Proceedings

Optimal complexity solution of space-time finite element systems for state-based parabolic distributed optimal control problems

Journal of Complexity, Vol. 92, 101976 (2026)
A Hybrid Space-Time Finite Element Method For Parabolic Evolution Equations

Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2, Lecture Notes in Computational Science and Engineering, vol. 154, Springer (2025)
An air-gap element for the isogeometric space-time simulation of electric machines

COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering (2025)
Inclusion of an Inverse Magnetic Hysteresis Model into the Space-Time Finite Element Method for Magnetoquasistatics

Preprint (2025)
Efficient Solution of State-Constrained Distributed Parabolic Optimal Control Problems

Preprint (2024)
Iterative approach to linear ideal MHD modeling of plasma response to 3D magnetic perturbations in tokamaks

Journal of Physics: Conference Series (2022)
A multigrid method for elasto-hydrodynamic contact simulations of radial slider bearing

ETNA – Electronic Transactions on Numerical Analysis (2021)

Academic website for research, software, talks, and selected consulting.

Dr. Michael Reichelt