P. Buchfink, S. Glas, B. Haasdonk and B. Unger, “Model Reduction on Manifolds: A differential geometric framework”, submitted 2023, preprint https://arxiv.org/abs/2312.01963.
P. Buchfink, S. Glas and B. Haasdonk, Approximation Bounds for Model Reduction on Polynomially Mapped Manifolds, submitted 2023, preprint https://arxiv.org/abs/2312.00724.
H. Sharma, H. Mu, P. Buchfink, R. Geleen, S. Glas and B. Kramer, Symplectic model reduction of Hamiltonian systems using data-driven quadratic manifolds, Computer Methods in Applied Mechanics and Engineering, Volume 417, Part A, 2023, https://doi.org/10.1016/j.cma.2023.116402, arXiv preprint http://arxiv.org/abs/2305.15490.
P. Buchfink, S. Glas and B. Haasdonk, Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds and Approximation with Weakly Symplectic Autoencoder, SIAM Journal on Scientific Computing, 45(2), A289-A311, 2023, http://doi.org/10.1137/21M1466657, arXiv preprint http://arxiv.org/abs/2112.10815.
S. Schuß, S. Glas, C. Hesch, Non-linear space-time elasticity, International Journal for Numerical Methods in Engineering, 124(9): 1965– 1990, 2023, http://doi.org/10.1002/nme.7194.
S. Glas, M. Padidar, A. Kellison and D. Bindel, Global Stochastic Optimization of Stellarator Coil Configurations, Journal of Plasma Physics, 2022, https://doi.org/10.1017/S002237782200023X.
S. Glas, R. Kiesel, S. Kolkmann, M. Kremer, N. Graf von Luckner, L. Ostmeier, K. Urban and M. Weber, Intraday Renewable Intraday Trading: Advanced Modeling and Optimal Control, Journal of Mathematics in Industry, 10(1):3., 2020, https://doi.org/10.1186/s13362-020-0071-x.
S. Glas, Anthony T. Patera and K. Urban, A Reduced Basis Method for the Wave Equation, International Journal of Computational Fluid Dynamics, 34(2):139–146, 2020, https://doi.org/10.1080/10618562.2019.1686486.
S. Glas, A. Mayerhofer and K. Urban, Two Ways to Treat Time in Reduced Basis Methods, In: Benner P., Ohlberger M., Patera A., Rozza G., Urban K. (eds) Model Reduction of Parametrized Systems. MS&A (Modeling, Simulation and Applications), vol 17. Springer, Cham, 2017, https://doi.org/10.1007/978-3-319-58786-8_1.
S. Glas and K. Urban, On Noncoercive Variational Inequalities, SIAM Journal on Numerical Analysis, 52(5):2250-2271, 2014, https://doi.org/10.1137/130925438 .
Reports/Proceedings
P. Buchfink, S. Glas and B. Haasdonk, Symplectic Model Reduction of Hamiltonian Systems, preliminairy Oberwolfach report, 2023, http://doi.org/10.14760/OWR-2023-13.
P. Buchfink, S. Glas and B. Haasdonk, Optimal Bases for Symplectic Model Order Reduction of Canonizable Linear Hamiltonian Systems, MATHMOD 2022 proceedings, https://doi.org/10.1016/j.ifacol.2022.09.138.
S. Glas, R. Kiesel, S. Kolkmann, M. Kremer, N. Graf von Luckner, L. Ostmeier, K. Urban and M. Weber, Intraday Renewable Intraday Trading: Advanced Modeling and Optimal Control, In Progress in Industrial Mathematics at ECMI 2018. Selection as one of the best papers and therefore invited to submit long version to special issue of Journal of Mathematics in Industry, 2019, https://doi.org/10.1007/978-3-030-27550-1_59.
S. Glas and K. Urban, Numerical Investigations of an Error Bound for Reduced Basis Approximations of Noncoercive Variational Inequalities, MATHMOD 2015 Proceedings, https://doi.org/10.1016/j.ifacol.2015.05.014.
S. Glas and K. Urban, Reduced Basis Approximation of Noncoercive Variational Inequalities, In: Oberwolfach Reports 01/2015, https://doi.org/10.4171/OWR/2015/2.
Thesis
S. Glas, Noncoercive and parabolic variational inequalities : analysis, applications and model reduction, PhD thesis, 2018, https://doi.org/10.18725/OPARU-8653.