Publications
Scientific Articles in Journals and Books
| Submitted | |
|---|---|
| • | Constantin Christof, Dominik Hafemeyer: On the Nonuniqueness and Instability of Solutions of Tracking-Type Optimal Control Problems Submitted, Preprint arXiv: 2007.08250, 2021. |
| • | Dominik Hafemeyer, Florian Mannel: A path-following inexact Newton method for PDE-constrained optimal control in BV Submitted, Preprint arXiv: 2010.11628, 2020. |
| • | Constantin Christof: On the Stability Properties and the Optimization Landscape of Training Problems with Squared Loss for Neural Networks and General Nonlinear Conic Approximation Schemes Submitted, Preprint arXiv: 2011.03293, 2020. |
| Appeared 2021 | |
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| • | Constantin Christof, Georg Müller: Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation ESAIM: Control, Optimisation and Calculus of Variations, 27, 2021. (doi:10.1051/cocv/2020060) |
| • | Constantin Christof, Boris Vexler: New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints ESAIM: Control, Optimisation and Calculus of Variations, 27, 2021. (doi:10.1051/cocv/2020059) |
| Appeared 2018 | |
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| • | 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 Optimization and Engineering, 19(3), pp. 629-662, 2018. (doi:10.1007/s11081-018-9393-6) |
| • | Jessica Bosch, Christian Kahle, Martin Stoll: Preconditioning of a coupled Cahn-Hilliard Navier-Stokes system Communications in Computational Physics, 23(2), pp. 603-628, 2018. |
| • | Harald Garcke, Michael Hinze, Christian Kahle: Optimal Control of time-discrete two-phase flow driven by a diffuse-interface model ESAIM: Control, Optimisation and Calculus of Variations, 25, 2018. (doi:10.1051/cocv/2018006) |
| • | Behzad Azmi, Anne-Céline Boulanger, Karl Kunisch: On the semi-global Stabilizability of the Korteweg-de Vries Equation via Model Predictive Control ESAIM: Control, Optimisation and Calculus of Variations, 24(1), pp. 237-263, 2018. (doi:10.1051/cocv/2017001) |
| • | Philip Trautmann, Boris Vexler, Alexander Zlotnik: Finite Element Error Analysis For Measure-valued Optimal Control Problems Governed by a 1D Wave Equation with Variable Coefficients Mathematical Control and Related Fields, 8(2), pp. 411-449, 2018. (doi:10.3934/mcrf.2018017) |
| • | Harald Garcke, Michael Hinze, Christian Kahle, Kei Fong Lam : A phase field approach to shape optimization in Navier-Stokes flow with integral state constraint Advances in Computational Mathematics, 44(5), pp. 1345-1383, 2018. (doi:10.1007/s10444-018-9586-8) |
| • | Harbir Antil, Johannes Pfefferer, Sergejs Rogovs: Fractional Operators with Inhomogeneous Boundary Conditions: Analysis, Control, and Discretization Communications in Mathematical Sciences, 16(5), pp. 1395-1426, 2018. (doi:10.4310/CMS.2018.v16.n5.a11) |
| • | Lucas Bonifacius, Ira Neitzel: Second Order Optimality Conditions for Optimal Control of Quasilinear Parabolic Equations AIMS: Mathematical Control and Related Fields (MCRF) 8(1) 1-34, Special Issue on the occasion of Eduardo Casas' 60th birthday, 2018. (doi:10.3934/mcrf.2018001) |
| • | Thomas Apel, Mariano Mateos, Johannes Pfefferer, Arnd Rösch: Error estimates for Dirichlet control problems in polygonal domains: Quasi uniform meshes Mathematical Control & Related Fields, 8(1), pp. 217-245, 2018. (doi:10.3934/mcrf.2018010) |
| • | Dominik Meidner, Johannes Pfefferer, Klemens Schürholz, Boris Vexler: hp-Finite Elements for Fractional Diffusion SIAM Journal on Numerical Analysis 56(4), pp. 2345–2374, 2018. (doi:10.1137/17M1135517) |
| • | Malte Braack, Martin Quaas, Benjamin Tews, Boris Vexler: Optimization of fishing strategies in space and time as a non-convex optimal control problem Journal of Optimization Theory and Applications, 178(3), pp. 950-972, 2018. (doi:10.1007/s10957-018-1304-7) |
| • | Dmitriy Leykekhman, Boris Vexler: Discrete maximal parabolic regularity for Galerkin finite element methods for non-autonomous parabolic problems SIAM Journal on Numerical Analysis, 56(4), pp. 2178 – 2202, 2018. (doi:10.1137/17M114100X) |
| • | Christian Kahle, Kei Fong Lam: Parameter identification via optimal control for a Cahn--Hilliard-chemotaxis system with a variable mobility Applied Mathematics and Optimization, 2018. (doi:10.1007/s00245-018-9491-z) |
| • | Lukas Failer, Thomas Wick: Adaptive Time-Step Control for Nonlinear Fluid-Structure Interaction Journal of Computational Physics 366, pp. 448-477, 2018. (doi:10.1016/j.jcp.2018.04.021) |
| • | Constantin Christof, Christian Clason, Christian Meyer, Stephan Walther: Optimal Control of a Non-Smooth Semilinear Elliptic Equation Mathematical Control and Related Fields, 8(1), pp. 247-276, 2018. (doi:10.3934/mcrf.2018011) |
| • | Constantin Christof, Christian Meyer: A note on a priori Lp-error estimates for the obstacle problem Numerische Mathematik, 139(1), pp. 27-45, 2018. (doi:10.1007/s00211-017-0931-5) |
| • | Constantin Christof, Georg Müller: A Note on the Equivalence and the Boundary Behavior of a Class of Sobolev Capacities GAMM-Mitteilungen, 40(3), pp. 238-266, 2018. (doi:10.1002/gamm.201730005) |
| • | Constantin Christof, Gerd Wachsmuth: On the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces GAMM-Mitteilungen, 40(4), pp. 339-350, 2018. (doi:10.1002/gamm.201740005) |
| • | Constantin Christof, Gerd Wachsmuth: No-Gap Second-Order Conditions via a Directional Curvature Functional SIAM Journal on Optimization, 28(3), pp. 2097-2130, 2018. (doi:10.1137/17M1140418) |
| • | Constantin Christof, Gerd Wachsmuth: Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators Applied Mathematics & Optimization, pp. 1-40, 2018. (doi:10.1007/s00245-018-09553-y) |
| Appeared 2017 | |
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| • | Ira Neitzel, Thomas Wick, Winnifried Wollner: An Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model SIAM Journal on Control and Optimization, 55(4), pp. 2271-2288, 2017. (doi:10.1137/16M1062375) |
| • | Dmitriy Leykekhman, Boris Vexler: Discrete maximal parabolic regularity for Galerkin finite element methods Numerische Mathematik, 135(3), pp. 923-952, 2017. (doi:10.1007/s00211-016-0821-2) |
| • | Anne-Celine Boulanger, Philip Trautmann: Sparse Optimal Control of the KdV-Burgers Equation on a Bounded Domain SIAM Journal on Control and Optimization 55(6), pp. 3673-3706, 2017. (doi:10.1137/15M1020745) |
| • | Dmitriy Leykekhman, Boris Vexler: Global and interior pointwise best approximation results for the gradient of Galerkin solutions for parabolic problems SIAM Journal on Numerical Analysis 55(4), pp. 2025-2049, 2017. (doi:10.1137/16M1080252) |
| • | 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. |
| • | Harbir Antil, Johannes Pfefferer, Mahamadi Warma: A note on semilinear fractional elliptic equation: analysis and discretization ESAIM: Mathematical Modelling and Numerical Analysis, 51(6), pp. 2049-2067, 2017. (doi:10.1051/m2an/2017023) |
| • | Dmitriy Leykekhman, Boris Vexler : Optimal a priori error estimates of parabolic optimal control problems with a moving point control Solvability, Regularity, Optimal Control of Boundary Value Problems for PDEs, Springer Verlag, pp. 327-356, 2017. (doi:10.1007/978-3-319-64489-9_13) |
| • | Thomas Apel, Johannes Pfefferer, Max Winkler: Error estimates for the postprocessing approach applied to Neumann boundary control problems in polyhedral domains IMA Journal of Numerical Analysis, 38(4) pp. 1984-2025, 2017. (doi:10.1093/imanum/drx059) |
| • | Thomas Apel, Serge Nicaise, Johannes Pfefferer: Adapted numerical methods for the Poisson equation with L² boundary data in nonconvex domains SIAM Journal on Numerical Analysis, 55(4), pp. 1937-1957, 2017. |
| • | Constantin Christof: L∞-error estimates for the obstacle problem revisited Calcolo, 54(4), pp. 1243-1264, 2017. (doi:10.1007/s10092-017-0228-1) |
| Appeared 2016 | |
|---|---|
| • | Karl Kunisch, Philip Trautmann, Boris Vexler: Optimal control of the undamped linear wave equation with measure valued controls SIAM Journal on Control and Optimization 54(3), pp. 1212-1244, 2016. (doi:10.1137/141001366) |
| • | Dmitriy Leykekhman, Boris Vexler: Finite element pointwise results on convex polyhedral domains SIAM Journal on Numerical Analysis 54(2), pp. 561–587, 2016. (doi:10.1137/15M1013912) |
| • | Dmitriy Leykekhman, Boris Vexler: A priori error estimates for three dimensional parabolic optimal control problems with pointwise control SIAM Journal on Control and Optimization, 54(5), pp. 2403-2435, 2016. (doi:10.1137/15M1028042) |
| • | Lukas Failer, Dominik Meidner, Boris Vexler: Optimal Control of a Linear Unsteady Fluid-Structure Interaction Problem Journal of Optimization Theory and Applications, 170(1), pp. 1-27, 2016. (doi:10.1007/s10957-016-0930-1) |
| • | Dmitriy Leykekhman, Boris Vexler: Pointwise best approximation results for Galerkin finite element solutions of parabolic problems SIAM Journal on Numerical Analysis 54(3), pp. 1365-1384, 2016. (doi:10.1137/15M103412X) |
| • | Thomas Apel, Serge Nicaise, Johannes Pfefferer: Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains Numer Methods Partial Differential Equations 32(5), pp. 1433-1454, 2016. (doi:10.1002/num.22057) |
| • | 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. (doi:10.4171/IFB/363) |
| Appeared 2012 | |
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| • | Ira Neitzel, Boris Vexler: A Priori Error Estimates for Space-Time Finite Element Discretization of Semilinear Parabolic Optimal Control Problems Numerische Mathematik 120(2), pp. 345-386, 2012. (doi:10.1007/s00211-011-0409-9) |
| • | Klaus Krumbiegel, Ira Neitzel, Arnd Rösch: Regularization for Semilinear Elliptic Optimal Control Problems with Pointwise State and Control Constraints Computational Optimization and Applications 52(1), pp. 181-207, 2012. (doi:10.1007/s10589-010-9357-z) |
| • | Thomas Apel, Johannes Pfefferer, Arnd Rösch: Finite Element Error Estimates for Neumann Boundary Control Problems on Graded Meshes Computational Optimization and Applications 52(1), pp. 3-28, 2012. (doi:10.1007/s10589-011-9427-x) |
| Appeared 2010 | |
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| • | Pedro Merino, Fredi Tröltzsch, Boris Vexler: Error Estimates for the Finite Element Approximation of a Semilinear Elliptic Control Problem with State Constraints and Finite Dimensional Control Space ESAIM: Mathematical Modelling and Numerical Analysis 44(1), pp. 167-188, 2010. (doi:10.1051/m2an/2009045) |
| • | Klaus Krumbiegel, Ira Neitzel, Arnd Rösch: Sufficient Optimality Conditions for the Moreau-Yosida-Type Regularization Concept Applied to Semilinear Elliptic Optimal Control Problems with Pointwise State Constraints Mathematics and its Applications - Annals of AOSR 2(2), pp. 222-246, 2010. |
| • | Pedro Merino, Ira Neitzel, Fredi Tröltzsch: Error Estimates for the Finite Element Discretization of Semi-infinite Elliptic Optimal Control Problems Discussiones Mathematicae. Differential Inclusions, Control and Optimization 30(2), pp. 221-236, 2010. |
| Appeared 2006 | |
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| • | Arnd Rösch, Boris Vexler: Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing SIAM Journal on Numerical Analysis 44(5), 1903-1920, 2006. (doi:10.1137/050637364) |
| Appeared 2005 | |
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| • | Roland Becker, Boris Vexler: Mesh Refinement and Numerical Sensitivity Analysis for Parameter Calibration of Partial Differential Equations Journal of Computational Physics 206(1), pp. 95-110, 2005. (doi:10.1016/j.jcp.2004.12.018) |
| • | Roland Becker, Malte Braack, Boris Vexler: Parameter Identification for Chemical Models in Combustion Problems Applied Numerical Mathematics 54(3-4), pp. 519-536, 2005. (doi:10.1016/j.apnum.2004.09.017) |
| • | Rolf Rannacher, Boris Vexler: A Priori Error Estimates for the Finite Element Discretization of Elliptic Parameter Identification Problems with Pointwise Measurements SIAM Journal on Control and Optimization 44(5), pp. 1844-1863, 2005. (doi:10.1137/040611100) |
| Appeared 2004 | |
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| • | Roland Becker, Boris Vexler: A Posteriori Error Estimation for Finite Element Discretization of Parameter Identification Problems Numerische Mathematik 96(3), pp. 435-459, 2004. (doi:10.1007/s00211-003-0482-9) |
| • | Roland Becker, Malte Braack, Boris Vexler: Numerical Parameter Estimation for Chemical Models in Multidimensional Reactive Flows Combustion Theory and Modelling 8(4), pp. 661-682, 2004. (doi:10.1088/1364-7830/8/4/001) |
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