Dr. Livia Betz
Dr. Betz has moved to Univ. Würzburg: https://www.mathematik.uni-wuerzburg.de/optimalcontrol/team/betz-livia/
Dr. Livia Betz
AG Optimal Control of Partial Differential Equations
Universität Duisburg-Essen
Thea-Leymann-Straße 9
D-45127 Essen
Email: livia.betz@uni-due.de
Research interests
Optimal control of non-smooth problems
Damage models
Academic Records
|
June 2017 - May 2020 |
PostDoc (DFG SPP 1962), University of Duisburg-Essen |
|
April 2014 - May 2017 |
Research Assistant, Technical University of Dortmund |
Studies
|
May 2017 |
PhD in Mathematics, Technical University of Dortmund |
|
April 2014 |
Master in Mathematical Economics, Technical University of Dortmund |
|
July 2011 |
Bachelor in Mathematics, Babes-Bolyai University, Romania |
Awards
|
2018 |
PostDoc-Preis der Fakultät für Mathematik |
University of Duisburg-Essen |
Lehre im Wintersemester 2018/19
Vorlesung Konvexe Analysis (4+2 SWS)
Preprints
[9] Livia Betz: Strong stationarity for a highly nonsmooth optimization problem with control constraints, Preprint
Publications
[8] Livia Betz: Vanishing viscosity solutions to a rate-independent two-field gradient damage model, in minor revision, ZAMM, 2020, Preprint
[7] Livia Betz and Irwin Yousept: Optimal control of elliptic variational inequalities with bounded and unbounded operators, to appear in MCRF, 2020, Preprint
[6] Livia Betz: Strong stationarity for optimal control of a non-smooth coupled system: Application to a viscous evolutionary VI coupled with an elliptic PDE, SIAM Journal on Optimization, 29(4):3069-3099, 2019, PDF
[5] Livia Betz: Second-order sufficient optimality conditions for optimal control of non-smooth, semilinear parabolic equations, SIAM Journal on Control and Optimization, 57(6):4033-4062, 2019, PDF
[4] Christian Meyer and Livia Susu: Analysis of a viscous two-field gradient damage model. Part II: Penalization limit, Zeitschrift für Analysis und Ihre Anwendungen, 38(4):439-474, 2019, PDF
[3] Christian Meyer and Livia Susu: Analysis of a viscous two-field gradient damage model. Part I: Existence and uniqueness, Zeitschrift für Analysis und Ihre Anwendungen, 38(3):249-286, 2019, PDF
[2] Livia Susu: Optimal control of a viscous two-field gradient damage model, GAMM-Mitteilungen, 40(4):287-311, 2018, PDF
[1] Christian Meyer and Livia Susu: Optimal control of nonsmooth, semilinear parabolic equations, SIAM Journal on Control and Optimization, 55(4):2206-2234, 2017, PDF
Theses
Livia Susu: Analysis and optimal control of a damage model with penalty, Dissertation, TU Dortmund, 2017, PDF
Livia Susu: Die Richtungsableitung bei Statischer Plastizität und deren Konvergenzeigenschaften, Master Thesis, TU Dortmund, 2014
Proceedings
Livia Betz and Irwin Yousept: On an optimal control problem for a class of elliptic VIs of the second kind involving unbounded operators, PAMM, 18(1):e201800280, 2018
Others
Livia Betz, Malte Winckler and Irwin Yousept: Supraleiter und Mathematik, UNIKATE 53, 110-119, 2019