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Geometric Partial Differential Equations - Part II
Michael Hintermüller and Tobias Keil Handbook of Numerical Analysis, Geometric Partial Differential Equations - Part II 22 213 (2021) https://doi.org/10.1016/bs.hna.2020.10.003
On a nonlocal Cahn–Hilliard model permitting sharp interfaces
Shape Optimization, Homogenization and Optimal Control
Michael Hintermüller and Tobias Keil International Series of Numerical Mathematics, Shape Optimization, Homogenization and Optimal Control 169 113 (2018) https://doi.org/10.1007/978-3-319-90469-6_7
Transport Processes at Fluidic Interfaces
Michael Hintermüller, Michael Hinze, Christian Kahle and Tobias Keil Advances in Mathematical Fluid Mechanics, Transport Processes at Fluidic Interfaces 305 (2017) https://doi.org/10.1007/978-3-319-56602-3_13
A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow
Charles Brett, Charles M. Elliott and Andreas S. Dedner Lecture Notes in Computational Science and Engineering, Optimization with PDE Constraints 101 25 (2014) https://doi.org/10.1007/978-3-319-08025-3_2
An adaptive finite element Moreau–Yosida-based solver for a coupled Cahn–Hilliard/Navier–Stokes system
On the stable discretization of strongly anisotropic phase field models with applications to crystal growth
J.W. Barrett, H. Garcke and R. Nürnberg ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 93(10-11) 719 (2013) https://doi.org/10.1002/zamm.201200147
Primal‐dual active set methods for Allen–Cahn variational inequalities with nonlocal constraints
Luise Blank, Harald Garcke, Lavinia Sarbu and Vanessa Styles Numerical Methods for Partial Differential Equations 29(3) 999 (2013) https://doi.org/10.1002/num.21742
Constrained Optimization and Optimal Control for Partial Differential Equations
Luise Blank, Martin Butz, Harald Garcke, Lavinia Sarbu and Vanessa Styles International Series of Numerical Mathematics, Constrained Optimization and Optimal Control for Partial Differential Equations 160 21 (2012) https://doi.org/10.1007/978-3-0348-0133-1_2
Distributed Optimal Control of the Cahn–Hilliard System Including the Case of a Double-Obstacle Homogeneous Free Energy Density