Lehrstuhl für Angewandte Mathematik

Cauerstraße 11
91058 Erlangen

Subordinate Organisational Units

Professur für Angewandte Mathematik
Professur für Angewandte Mathematik

Related Project(s)

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(TRR 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken):
Decomposition methods for mixed-integer optimal control (A05) (2018 - 2022)
Prof. Dr. Günter Leugering; Prof. Dr. Alexander Martin; Prof. Dr. Martin Schmidt
(01/07/2018 - 30/06/2022)

(SPP 1679: Dynamic Simulation of Interconnected Solids Processes):
Modeling, simulation and optimization of process chains
Prof. Dr. Günter Leugering

MatInEE - Mathematik für Ingenieure: Erfolgreich Einsteigen
Dr. Wigand Rathmann; Nicolai von Schroeders

(TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks):
TRR 154: Admissible Robust nodal control (C03)
apl. Prof. Dr. Martin Gugat

(TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks):
Mixed integer-continuous dynamical Systems with partial differential equations (A03)
PD Dr. Falk Hante; Prof. Dr. Günter Leugering

Publications (Download BibTeX)

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Gugat, M., & Wintergerst, D. (2018). Transient flow in gas networks: Traveling waves. International Journal of Applied Mathematics and Computer Science, 28(2), 341–348. https://dx.doi.org/10.2478/amcs-2018-0025
Gugat, M., Rosier, L., & Perrolaz, V. (2018). Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms. Journal of Evolution Equations. https://dx.doi.org/10.1007/s00028-018-0449-z
Keimer, A., Pflug, L., & Spinola, M. (2018). Existence, uniqueness and regularity of multi-dimensional nonlocal balance laws with damping. Journal of Mathematical Analysis and Applications, 466(1), 18-55. https://dx.doi.org/10.1016/j.jmaa.2018.05.013
Gugat, M., Leugering, G., Martin, A., Schmidt, M., Sirvent, M., & Wintergerst, D. (2018). Towards Simulation Based Mixed-Integer Optimization with Differential Equations. Networks, 72(1), 60-83. https://dx.doi.org/10.1002/net.21812
Semmler, J., Pflug, L., & Stingl, M. (2018). Material optimization in transverse electromagnetic scattering applications. SIAM Journal on Scientific Computing, 40(1), B85-B109. https://dx.doi.org/10.1137/17M1127569
Bley, K., Semmler, J., Rey, M., Zhao, C., Martic, N., Klupp Taylor, R.,... Vogel, N. (2018). Hierarchical Design of Metal Micro/Nanohole Array Films Optimizes Transparency and Haze Factor. Advanced Functional Materials. https://dx.doi.org/10.1002/adfm.201706965
Jahn, J., & Knossalla, M. (2018). LAGRANGE THEORY OF DISCRETE-CONTINUOUS NONLINEAR OPTIMIZATION. Journal of Nonlinear and Variational Analysis, 2(3), 317-342. https://dx.doi.org/10.23952/jnva.2.2018.3.07
Gugat, M., & Hante, F. (2017). Lipschitz Continuity of the Value Function in Mixed-Integer Optimal Control Problems. Mathematics of Control Signals and Systems, 29(3). https://dx.doi.org/10.1007/s00498-016-0183-4
Gugat, M., & Ulbrich, S. (2017). The isothermal Euler equations for ideal gas with source term: Product solutions, flow reversal and no blow up. Journal of Mathematical Analysis and Applications, 454(1), 439–452. https://dx.doi.org/10.1016/j.jmaa.2017.04.064
Wormser, M., Wein, F., Stingl, M., & Körner, C. (2017). Design and Additive Manufacturing of 3D Phononic Band Gap Structures Based on Gradient Based Optimization. Materials, 10(10). https://dx.doi.org/10.3390/ma10101125
Hante, F., & Schmidt, M. (2017). Complementarity-Based Nonlinear Programming Techniques for Optimal Mixing in Gas Networks.
Leugering, G., Gugat, M., & Wang, K. (2017). NEUMANN BOUNDARY FEEDBACK STABILIZATION FOR A NONLINEAR WAVE EQUATION: A STRICT H-2-LYAPUNOV FUNCTION. Mathematical Control and Related Fields, 7(3), 419-448. https://dx.doi.org/10.3934/mcrf.2017015
Gugat, M., Leugering, G., & Wang, K. (2017). Neumann boundary feedback stabilization for a nonlinear wave equation: A strict H2-Lyapunov function. Mathematical Control and Related Fields, 7(3), 419 - 448. https://dx.doi.org/10.3934/mcrf.2017015
Werner, S., Stingl, M., & Leugering, G. (2017). Model-based control of dynamic frictional contact problems using the example of hot rolling. Computer Methods in Applied Mechanics and Engineering, 319, 442-471. https://dx.doi.org/10.1016/j.cma.2017.03.006
Distaso, M., Zhuromskyy, O., Seemann, B., Pflug, L., Mackovic, M., Encina, E.R.,... Peukert, W. (2017). Interaction of light with hematite hierarchical structures: Experiments and simulations. Journal of Quantitative Spectroscopy & Radiative Transfer, 189, 369-382. https://dx.doi.org/10.1016/j.jqsrt.2016.12.028
Knossalla, M. (2017). Concepts on generalized epsilon-subdifferentials for minimizing locally Lipschitz continuous functions. Journal of Nonlinear and Variational Analysis, 265-279.
Bischoff, M., Jahn, J., & Köbis, E. (2017). Hard uncertainties in multiobjective layout optimization of photovoltaic power plants. Optimization, 66(3), 361-380.
Leugering, G., Cannarsa, P., & Alabau-Boussouira, F. (2017). CONTROL AND STABILIZATION OF DEGENERATE WAVE EQUATIONS. SIAM Journal on Control and Optimization, 55(3), 2052-2087. https://dx.doi.org/10.1137/15M1020538
Keimer, A., & Pflug, L. (2017). Existence, uniqueness and regularity results on nonlocal balance laws. Journal of Differential Equations, 263(7), 4023-4069. https://dx.doi.org/10.1016/j.jde.2017.05.015
Hante, F., Leugering, G., Martin, A., Schewe, L., & Schmidt, M. (2017). Challenges in Optimal Control Problems for Gas and Fluid Flow in Networks of Pipes and Canals: From Modeling to Industrial Applications. In Manchanda, Pammy; Lozi, René; Siddiqi, Abul Hasan (Eds.), Industrial Mathematics and Complex Systems: Emerging Mathematical Models, Methods and Algorithms. (pp. 77-122). Singapore: Springer Singapore.

Last updated on 2019-24-04 at 10:27