Dr. Christian Kahle

Publications

Scientific Articles in Journals
Christian Kahle:
An L bound for the Cahn-Hilliard equation with relaxed non-smooth free energy
International Journal of Numerical Analysis and Modeling, 14(2), pp. 243-254, 2017.
Jessica Bosch, Christian Kahle, Martin Stoll:
Preconditioning of a coupled Cahn-Hilliard Navier-Stokes system
Communications in Computational Physics, to appear, 2017.
Harald Garcke, Michael Hinze, Christian Kahle, Kei Fong Lam :
A phase field approach to shape optimization in Navier-Stokes flow with integral state constraint
submitted, Preprint arXiv: 1702.03855, 2017.
Christian Kahle, Kei Fong Lam:
Parameter identification via optimal control for a Cahn--Hilliard-chemotaxis system with a variable mobility
submitted, Preprint arXiv: 1707.06853, 2017.
Harald Garcke, Michael Hinze, Christian Kahle:
A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow
Applied Numerical Mathematics 99, pp. 151-171, 2016. (doi:10.1016/j.apnum.2015.09.002)
Harald Garcke, Claudia Hecht, Michael Hinze, Christian Kahle, Kei Fong Lam:
Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach
Interfaces and Free Boundaries 18(2), pp. 219-261, 2016.
Michael Hintermüller, Michael Hinze, Christian Kahle, Tobias Keil:
A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system
submitted, 2016.
Harald Garcke, Michael Hinze, Christian Kahle:
Optimal Control of time-discrete two-phase flow driven by a diffuse-interface model
submitted, 2016.
Harald Garcke, Claudia Hecht, Michael Hinze, Christian Kahle:
Numerical approximation of phase field based shape and topology optimization for fluids
SIAM Journal on Scientific Computing, 2015. (doi:10.1137/140969269)
Michael Hintermüller, Michael Hinze,Christian Kahle:
An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system
Journal of Computational Physics 235, pp. 810-827, 2013. (doi:10.1016/j.jcp.2012.10.010)

Scientific Articles in Proceedings
Michael Hintermüller, Michael Hinze, Christian Kahle, Tobias Keil,
Fully adaptive and integrated numerical methods for the simulation and control of variable density multiphase flows governed by diffuse interface models,
Advances in Mathematical Fluid Mechanics: Transport Processes at Fluidic Interfaces, Springer/Birkhäuser, 2017
Sebastian Aland, Andreas Hahn, Christian Kahle, Robert Nürnberg,
Comparative simulations of Taylor-flow with surfactants based on sharp- and diffuse-interface methods,
Advances in Mathematical Fluid Mechanics: Transport Processes at Fluidic Interfaces, Springer/Birkhäuser, 2017
Harald Garcke, Michael Hinze, and Christian Kahle,
Optimal control of time discrete two-phase flow governed by a diffuse interface model,
Proceedings in Applied Mathematics and Mechanics, Wiley, 2016, 16(1), 785--786
Harald Garcke, Michael Hinze, and Christian Kahle,
Diffuse interface approaches in atmospere and ocean - modeling and numerical implementation,
ArXiv preprint 1607.07986,
preprint
Michael Hinze and Christian Kahle,
Model Predictive Control of two-phase flow using a diffuse interface approach,
Proceedings in Applied Mathematics and Mechanics, Wiley, 2014, 14(1), 731--732
Michael Hinze and Christian Kahle,
A nonlinear Model Predictive Concept for the Control of Two-Phase Flows governed by the Cahn--Hilliard Navier--Stokes System
System Modeling and Optimization,
IFIP Advances in Information and Communication Technology (391), 2013, 348-357,
25th IFIP TC 7 Conference, CSMO 2011, Berlin, Germany, September 12-16, 2011,
preprint
Christian Kahle (joint with Michael Hinze),
Instantaneous Control of two-phase flow with different densities,
European Mathematical Society, Oberwolfach Reports 10(1), 2013, 898-901,
Chapter: Interfaces and Free Boundaries: Analysis, Control and Simulation,
preprint
Michael Hinze and Christian Kahle,
Model predictive control of variable density multiphase flows governed by diffuse interface models,
Proceedings of the first IFAC Workshop on Control of Systems Modeled by Partial Differential Equations 1(1) 2013, 127-132,
preprint

PhD and Diploma Theses
Simulation and Control of Two-Phase Flow Using Diffuse Interface Models,
PhD Thesis, Universität Hamburg 2014
Relaxierungsverfahren zur numerischen Lösung von parabolischen Kontrollproblemen mit Zustandsschranken,
Diploma Thesis, Universität Hamburg 2009
 
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