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2022

  • Behringer, Niklas; Vexler, Boris; Leykekhman, Dmitriy: Fully discrete best-approximation-type estimates in \(L^\infty(I;L^2(\Omega)^d)\) for finite element discretizations of the transient Stokes equations. IMA Journal of Numerical Analysis, 2022 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Hafemeyer, Dominik: On the nonuniqueness and instability of solutions of tracking-type optimal control problems. Mathematical Control &Related Fields 12 (2), 2022, 421 mehr… BibTeX Volltext ( DOI )
  • Hafemeyer, Dominik; Mannel, Florian: A path-following inexact Newton method for PDE-constrained optimal control in BV. Computational Optimization and Applications, 2022 mehr… BibTeX Volltext ( DOI )

2021

  • Behringer, Niklas: Improved error estimates for optimal control of the Stokes problem with pointwise tracking in three dimensions. Mathematical Control &Related Fields 11 (2), 2021, 77-92 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Meyer, Christian; Schweizer, Ben; Turek, Stefan: Strong Stationarity for Optimal Control of Variational Inequalities of the Second Kind. In: International Series of Numerical Mathematics. Springer International Publishing, 2021 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Müller, Georg: Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation. ESAIM: Control, Optimisation and Calculus of Variations 27, 2021, S13 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Vexler, Boris: 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, 4 mehr… BibTeX Volltext ( DOI )

2020

  • Behringer, Niklas; Leykekhman, Dmitriy; Vexler, Boris: Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra. SIAM Journal on Numerical Analysis 58 (3), 2020, 1531-1555 mehr… BibTeX Volltext ( DOI )
  • Bonifacius, Lucas; Kunisch, Karl: Time-optimality by distance-optimality for parabolic control systems. ESAIM: Mathematical Modelling and Numerical Analysis 54 (1), 2020, 79-103 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin: Gradient-Based Solution Algorithms for a Class of Bilevel Optimization and Optimal Control Problems with a Nonsmooth Lower Level. SIAM Journal on Optimization 30 (1), 2020, 290-318 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; De los Reyes, Juan Carlos; Meyer, Christian: A Nonsmooth Trust-Region Method for Locally Lipschitz Functions with Application to Optimization Problems Constrained by Variational Inequalities. SIAM Journal on Optimization 30 (3), 2020, 2163-2196 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Haubner, Christof: Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem. Numerische Mathematik 145 (3), 2020, 513-551 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Wachsmuth, Gerd: On second-order optimality conditions for optimal control problems governed by the obstacle problem. Optimization 70 (10), 2020, 2247-2287 mehr… BibTeX Volltext ( DOI )
  • Engel, Sebastian; Vexler, Boris; Trautmann, Philip: Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation. IMA Journal of Numerical Analysis 41 (4), 2020, 2639-2667 mehr… BibTeX Volltext ( DOI )
  • Failer, Lukas; Richter, Thomas: A Parallel Newton Multigrid Framework for Monolithic Fluid-Structure Interactions. Journal of Scientific Computing 82 (2), 2020 mehr… BibTeX Volltext ( DOI )
  • Failer, Lukas; Richter, Thomas: A Newton multigrid framework for optimal control of fluid–structure interactions. Optimization and Engineering 22 (4), 2020, 2009-2037 mehr… BibTeX Volltext ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris; Walter, Daniel: Numerical analysis of sparse initial data identification for parabolic problems. ESAIM: Mathematical Modelling and Numerical Analysis 54 (4), 2020, 1139-1180 mehr… BibTeX Volltext ( DOI )
  • Pieper, Konstantin; Tang, Bao Quoc; Trautmann, Philip; Walter, Daniel: Inverse point source location with the Helmholtz equation on a bounded domain. Computational Optimization and Applications 77 (1), 2020, 213-249 mehr… BibTeX Volltext ( DOI )

2019

  • Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd: Superconvergent Graded Meshes for an Elliptic Dirichlet Control Problem. In: Lecture Notes in Computational Science and Engineering. Springer International Publishing, 2019 mehr… BibTeX Volltext ( DOI )
  • Behringer, Niklas; Meidner, Dominik; Vexler, Boris: Finite Element Error Estimates for Optimal Control Problems with Pointwise Tracking. Pure and Applied Functional Analysis 4 (2), 2019, 177-204 mehr… BibTeX
  • Bonart, Henning; Jung, Johannes; Kahle, Christian; Repke, Jens-Uwe: Influence of Liquid Density and Surface Tension on the Pinning of Sliding Droplets on a Triangular Microstructure. Chemical Engineering &Technology 42 (7), 2019, 1381-1387 mehr… BibTeX Volltext ( DOI )
  • Bonart, Henning; Kahle, Christian; Repke, Jens-Uwe: Comparison of energy stable simulation of moving contact line problems using a thermodynamically consistent Cahn–Hilliard Navier–Stokes model. Journal of Computational Physics 399, 2019, 108959 mehr… BibTeX Volltext ( DOI )
  • Bonifacius, Lucas; Pieper, Konstantin: Strong stability of linear parabolic time-optimal control problems. ESAIM: Control, Optimisation and Calculus of Variations 25, 2019, 1 mehr… BibTeX Volltext ( DOI )
  • Bonifacius, Lucas; Pieper, Konstantin; Vexler, Boris: A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems. SIAM Journal on Control and Optimization 57 (1), 2019, 129-162 mehr… BibTeX Volltext ( DOI )
  • Bonifacius, Lucas; Pieper, Konstantin; Vexler, Boris: Error Estimates for Space-Time Discretization of Parabolic Time-Optimal Control Problems with Bang-Bang Controls. SIAM Journal on Control and Optimization 57 (3), 2019, 1730-1756 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin: Sensitivity Analysis and Optimal Control of Obstacle-Type Evolution Variational Inequalities. SIAM Journal on Control and Optimization 57 (1), 2019, 192-218 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Wachsmuth, Gerd: Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators. Applied Mathematics &Optimization 81 (1), 2019, 23-62 mehr… BibTeX Volltext ( DOI )
  • Dohr, Stefan; Kahle, Christian; Rogovs, Sergejs; Swierczynski, Piotr: A FEM for an optimal control problem subject to the fractional Laplace equation. Calcolo 56 (4), 2019 mehr… BibTeX Volltext ( DOI )
  • Engel, Sebastian; Hafemeyer, Dominik; Münch, Christian; Schaden, Daniel: An application of sparse measure valued Bayesian inversion to acoustic sound source identification. Inverse Problems 35 (7), 2019, 075005 mehr… BibTeX Volltext ( DOI )
  • Garcke, Harald; Hinze, Michael; Kahle, Christian: Optimal control of time-discrete two-phase flow driven by a diffuse-interface model. ESAIM: Control, Optimisation and Calculus of Variations 25, 2019, 13 mehr… BibTeX Volltext ( DOI )
  • Hafemeyer, Dominik; Mannel, Florian; Neitzel, Ira; Vexler, Boris: Finite element error estimates for one-dimensional elliptic optimal control by BV-functions. Mathematical Control &Related Fields 0 (0), 2019, 0-0 mehr… BibTeX Volltext ( DOI )
  • Hafemeyer, Dominik; Kahle, Christian; Pfefferer, Johannes: Finite element error estimates in $$L^2$$ for regularized discrete approximations to the obstacle problem. Numerische Mathematik 144 (1), 2019, 133-156 mehr… BibTeX Volltext ( DOI )
  • Kahle, Christian; Lam, Kei Fong; Latz, Jonas; Ullmann, Elisabeth: Bayesian Parameter Identification in Cahn--Hilliard Models for Biological Growth. SIAM/ASA Journal on Uncertainty Quantification 7 (2), 2019, 526-552 mehr… BibTeX Volltext ( DOI )
  • Neitzel, Ira; Pieper, Konstantin; Vexler, Boris; Walter, Daniel: A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems. Numerische Mathematik 143 (4), 2019, 943-984 mehr… BibTeX Volltext ( DOI )
  • Pfefferer, Johannes; Winkler, Max: Finite Element Error Estimates for Normal Derivatives on Boundary Concentrated Meshes. SIAM Journal on Numerical Analysis 57 (5), 2019, 2043-2073 mehr… BibTeX Volltext ( DOI )

2018

  • Antil, Harbir; Pfefferer, Johannes; Rogovs, Sergejs: Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization. Communications in Mathematical Sciences 16 (5), 2018, 1395-1426 mehr… BibTeX Volltext ( DOI )
  • Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd: Error estimates for Dirichlet control problems in polygonal domains: Quasi-uniform meshes. Mathematical Control &Related Fields 8 (1), 2018, 217-245 mehr… BibTeX Volltext ( DOI )
  • Azmi, Behzad; Boulanger, Anne-Céline; Kunisch, Karl: On the semi-global stabilizability of the Korteweg-de Vries Equation <i>via</i> model predictive control. ESAIM: Control, Optimisation and Calculus of Variations 24 (1), 2018, 237-263 mehr… BibTeX Volltext ( DOI )
  • Bonifacius, Lucas; Neitzel, Ira: Second order optimality conditions for optimal control of quasilinear parabolic equations. Mathematical Control &amp;Related Fields 8 (1), 2018, 1-34 mehr… BibTeX Volltext ( DOI )
  • Braack, Malte; Quaas, Martin F.; Tews, Benjamin; Vexler, Boris: Optimization of Fishing Strategies in Space and Time as a Non-convex Optimal Control Problem. Journal of Optimization Theory and Applications 178 (3), 2018, 950-972 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Meyer, Christian: Sensitivity Analysis for a Class of $H_0^1$ -Elliptic Variational Inequalities of the Second Kind. Set-Valued and Variational Analysis 27 (2), 2018, 469-502 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Meyer, Christian; Walther, Stephan; Clason, Christian: Optimal control of a non-smooth semilinear elliptic equation. Mathematical Control &amp;Related Fields 8 (1), 2018, 247-276 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Müller, Georg: A Note on the Equivalence and the Boundary Behavior of a Class of Sobolev Capacities. GAMM-Mitteilungen 40 (3), 2018, 238-266 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Wachsmuth, Gerd: On the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces. GAMM-Mitteilungen 40 (4), 2018, 339-350 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Wachsmuth, Gerd: No-Gap Second-Order Conditions via a Directional Curvature Functional. SIAM Journal on Optimization 28 (3), 2018, 2097-2130 mehr… BibTeX Volltext ( DOI )
  • Failer, Lukas; Wick, Thomas: Adaptive time-step control for nonlinear fluid–structure interaction. Journal of Computational Physics 366, 2018, 448-477 mehr… BibTeX Volltext ( DOI )
  • Garcke, Harald; Hinze, Michael; Kahle, Christian; Lam, Kei Fong: A phase field approach to shape optimization in Navier–Stokes flow with integral state constraints. Advances in Computational Mathematics 44 (5), 2018, 1345-1383 mehr… BibTeX Volltext ( DOI )
  • Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias: 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), 2018, 629-662 mehr… BibTeX Volltext ( DOI )
  • Kahle, Christian; Lam, Kei Fong: Parameter Identification via Optimal Control for a Cahn–Hilliard-Chemotaxis System with a Variable Mobility. Applied Mathematics &amp;Optimization 82 (1), 2018, 63-104 mehr… BibTeX Volltext ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems. SIAM Journal on Numerical Analysis 56 (4), 2018, 2178-2202 mehr… BibTeX Volltext ( DOI )
  • Meidner, Dominik; Pfefferer, Johannes; Schürholz, Klemens; Vexler, Boris: hp-Finite Elements for Fractional Diffusion. SIAM Journal on Numerical Analysis 56 (4), 2018, 2345-2374 mehr… BibTeX Volltext ( DOI )
  • Meidner, Dominik; Vexler, Boris: Optimal error estimates for fully discrete Galerkin approximations of semilinear parabolic equations. ESAIM: Mathematical Modelling and Numerical Analysis 52 (6), 2018, 2307-2325 mehr… BibTeX Volltext ( DOI )
  • Trautmann, Philip; Vexler, Boris; Zlotnik, Alexander: Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients. Mathematical Control &amp;Related Fields 8 (2), 2018, 411-449 mehr… BibTeX Volltext ( DOI )

2017

  • Antil, Harbir; Pfefferer, Johannes; Warma, Mahamadi: A note on semilinear fractional elliptic equation: analysis and discretization. ESAIM: Mathematical Modelling and Numerical Analysis 51 (6), 2017, 2049-2067 mehr… BibTeX Volltext ( DOI )
  • Apel, Thomas; Winkler, Max; Pfefferer, Johannes: Error estimates for the postprocessing approach applied to Neumann boundary control problems in polyhedral domains. IMA Journal of Numerical Analysis 38 (4), 2017, 1984-2025 mehr… BibTeX Volltext ( DOI )
  • Boulanger, Anne-Céline; Trautmann, Philip: Sparse Optimal Control of the KdV-Burgers Equation on a Bounded Domain. SIAM Journal on Control and Optimization 55 (6), 2017, 3673-3706 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin: $L^\infty$-error estimates for the obstacle problem revisited. Calcolo 54 (4), 2017, 1243-1264 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Meyer, Christian: A note on a priori $L^p$-error estimates for the obstacle problem. Numerische Mathematik 139 (1), 2017, 27-45 mehr… BibTeX Volltext ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with a Moving Point Control. In: Springer INdAM Series. Springer International Publishing, 2017 mehr… BibTeX Volltext ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems. SIAM Journal on Numerical Analysis 55 (4), 2017, 2025-2049 mehr… BibTeX Volltext ( DOI )
  • Neitzel, Ira; Wick, Thomas; Wollner, Winnifried: An Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model. SIAM Journal on Control and Optimization 55 (4), 2017, 2271-2288 mehr… BibTeX Volltext ( DOI )

2016

  • Apel, Thomas; Nicaise, Serge; Pfefferer, Johannes: Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains. Numerical Methods for Partial Differential Equations 32 (5), 2016, 1433-1454 mehr… BibTeX Volltext ( DOI )
  • Failer, Lukas; Meidner, Dominik; Vexler, Boris: Optimal Control of a Linear Unsteady Fluid–Structure Interaction Problem. Journal of Optimization Theory and Applications 170 (1), 2016, 1-27 mehr… BibTeX Volltext ( DOI )
  • Garcke, Harald; Hecht, Claudia; Hinze, Michael; Kahle, Christian; Lam, Kei Fong: Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach. Interfaces and Free Boundaries 18 (2), 2016, 219-261 mehr… BibTeX Volltext ( DOI )
  • Garcke, Harald; Hinze, Michael; Kahle, Christian: A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow. Applied Numerical Mathematics 99, 2016, 151-171 mehr… BibTeX Volltext ( DOI )
  • Kunisch, Karl; Pieper, Konstantin; Rund, Armin: Time optimal control for a reaction diffusion system arising in cardiac electrophysiology – a monolithic approach. ESAIM: Mathematical Modelling and Numerical Analysis 50 (2), 2016, 381-414 mehr… BibTeX Volltext ( DOI )
  • Kunisch, Karl; Trautmann, Philip; Vexler, Boris: Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls. SIAM Journal on Control and Optimization 54 (3), 2016, 1212-1244 mehr… BibTeX Volltext ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: Discrete maximal parabolic regularity for Galerkin finite element methods. Numerische Mathematik 135 (3), 2016, 923-952 mehr… BibTeX Volltext ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: Finite Element Pointwise Results on Convex Polyhedral Domains. SIAM Journal on Numerical Analysis 54 (2), 2016, 561-587 mehr… BibTeX Volltext ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control. SIAM Journal on Control and Optimization 54 (5), 2016, 2403-2435 mehr… BibTeX Volltext ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems. SIAM Journal on Numerical Analysis 54 (3), 2016, 1365-1384 mehr… BibTeX Volltext ( DOI )

2015

  • Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd: On the Regularity of the Solutions of Dirichlet Optimal Control Problems in Polygonal Domains. SIAM Journal on Control and Optimization 53 (6), 2015, 3620-3641 mehr… BibTeX Volltext ( DOI )
  • Apel, Thomas; Pfefferer, Johannes; Winkler, Max: Local mesh refinement for the discretization of Neumann boundary control problems on polyhedra. Mathematical Methods in the Applied Sciences 39 (5), 2015, 1206-1232 mehr… BibTeX Volltext ( DOI )
  • Boulanger, Anne-Celine; Moireau, Philippe; Perthame, Benoît; Sainte-Marie, Jacques: Data assimilation for hyperbolic conservation laws: A Luenberger observer approach based on a kinetic description. Communications in Mathematical Sciences 13 (3), 2015, 587-622 mehr… BibTeX Volltext ( DOI )
  • Casas, Eduardo; Vexler, Boris; Zuazua, Enrique: Sparse initial data identification for parabolic PDE and its finite element approximations. Mathematical Control &amp;Related Fields 5 (3), 2015, 377-399 mehr… BibTeX Volltext ( DOI )
  • Garcke, Harald; Hecht, Claudia; Hinze, Michael; Kahle, Christian: Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids. SIAM Journal on Scientific Computing 37 (4), 2015, A1846-A1871 mehr… BibTeX Volltext ( DOI )
  • Kiniger, Bernhard: A Transformation Approach in Shape Optimization: Existence and Regularity Results. Numerical Functional Analysis and Optimization 36 (12), 2015, 1585-1621 mehr… BibTeX Volltext ( DOI )
  • Mateos, Mariano; Neitzel, Ira: Dirichlet control of elliptic state constrained problems. Computational Optimization and Applications 63 (3), 2015, 825-853 mehr… BibTeX Volltext ( DOI )
  • Meidner, Dominik; Richter, Thomas: A posteriori error estimation for the fractional step theta discretization of the incompressible Navier–Stokes equations. Computer Methods in Applied Mechanics and Engineering 288, 2015, 45-59 mehr… BibTeX Volltext ( DOI )
  • Neitzel, Ira; Pfefferer, Johannes; Rösch, Arnd: Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation. SIAM Journal on Control and Optimization 53 (2), 2015, 874-904 mehr… BibTeX Volltext ( DOI )

2014

  • Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd: Finite element error estimates on the boundary with application to optimal control. Mathematics of Computation 84 (291), 2014, 33-70 mehr… BibTeX Volltext ( DOI )
  • Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd: Graded Meshes in Optimal Control for Elliptic Partial Differential Equations: An Overview. In: International Series of Numerical Mathematics. Springer International Publishing, 2014 mehr… BibTeX Volltext ( DOI )
  • Casas, Eduardo; Mateos, Mariano; Vexler, Boris: New regularity results and improved error estimates for optimal control problems with state constraints. ESAIM: Control, Optimisation and Calculus of Variations 20 (3), 2014, 803-822 mehr… BibTeX Volltext ( DOI )
  • Flaig, Thomas G.; Meidner, Dominik; Vexler, Boris: Petrov-Galerkin Crank-Nicolson Scheme for Parabolic Optimal Control Problems on Nonsmooth Domains. In: International Series of Numerical Mathematics. Springer International Publishing, 2014 mehr… BibTeX Volltext ( DOI )
  • Kaltenbacher, Barbara; Kirchner, Alana; Veljović, Slobodan: Goal oriented adaptivity in the IRGNM for parameter identification in PDEs: I. reduced formulation. Inverse Problems 30 (4), 2014, 045001 mehr… BibTeX Volltext ( DOI )
  • Kaltenbacher, Barbara; Kirchner, Alana; Vexler, Boris: Goal oriented adaptivity in the IRGNM for parameter identification in PDEs: II. all-at-once formulations. Inverse Problems 30 (4), 2014, 045002 mehr… BibTeX Volltext ( DOI )
  • Krumbiegel, Klaus.; Pfefferer, Johannes: Superconvergence for Neumann boundary control problems governed by semilinear elliptic equations. Computational Optimization and Applications 61 (2), 2014, 373-408 mehr… BibTeX Volltext ( DOI )
  • Kunisch, Karl; Pieper, Konstantin; Vexler, Boris: Measure Valued Directional Sparsity for Parabolic Optimal Control Problems. SIAM Journal on Control and Optimization 52 (5), 2014, 3078-3108 mehr… BibTeX Volltext ( DOI )
  • Lu, Jinming; Riedl, Gerwin; Kiniger, Bernhard; Werner, Ewald A.: Three-dimensional tool design for steady-state electrochemical machining by continuous adjoint-based shape optimization. Chemical Engineering Science 106, 2014, 198-210 mehr… BibTeX Volltext ( DOI )
  • Meidner, Dominik; Richter, Thomas: Goal-Oriented Error Estimation for the Fractional Step Theta Scheme. Computational Methods in Applied Mathematics 14 (2), 2014, 203-230 mehr… BibTeX Volltext ( DOI )
  • Merino, Pedro; Neitzel, Ira; Tröltzsch, Fredi: An adaptive numerical method for semi-infinite elliptic control problems based on error estimates. Optimization Methods and Software 30 (3), 2014, 492-515 mehr… BibTeX Volltext ( DOI )

2013

  • Bernard, Olivier; Boulanger, Anne-Céline; Bristeau, Marie-Odile; Sainte-Marie, Jacques: A 2D model for hydrodynamics and biology coupling applied to algae growth simulations. ESAIM: Mathematical Modelling and Numerical Analysis 47 (5), 2013, 1387-1412 mehr… BibTeX Volltext ( DOI )
  • Boulanger, Anne-Céline; Bristeau, Marie-Odile; Sainte-Marie, Jacques: Analytical solutions for the free surface hydrostatic Euler equations. Communications in Mathematical Sciences 11 (4), 2013, 993-1010 mehr… BibTeX Volltext ( DOI )
  • Hintermüller, Michael; Hinze, Michael; Kahle, Christian: An adaptive finite element Moreau–Yosida-based solver for a coupled Cahn–Hilliard/Navier–Stokes system. Journal of Computational Physics 235, 2013, 810-827 mehr… BibTeX Volltext ( DOI )
  • Kiniger, Bernhard; Vexler, Boris: <i>A priori</i>error estimates for finite element discretizations of a shape optimization problem. ESAIM: Mathematical Modelling and Numerical Analysis 47 (6), 2013, 1733-1763 mehr… BibTeX Volltext ( DOI )
  • Leykekhman, Dmitriy; Meidner, Dominik; Vexler, Boris: Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints. Computational Optimization and Applications 55 (3), 2013, 769-802 mehr… BibTeX Volltext ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control. SIAM Journal on Numerical Analysis 51 (5), 2013, 2797-2821 mehr… BibTeX Volltext ( DOI )
  • May, S.; Rannacher, R.; Vexler, B.: Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems. SIAM Journal on Control and Optimization 51 (3), 2013, 2585-2611 mehr… BibTeX Volltext ( DOI )
  • Pieper, Konstantin; Vexler, Boris: A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space. SIAM Journal on Control and Optimization 51 (4), 2013, 2788-2808 mehr… BibTeX Volltext ( DOI )
  • Springer, Andreas; Vexler, Boris: Third order convergent time discretization for parabolic optimal control problems with control constraints. Computational Optimization and Applications 57 (1), 2013, 205-240 mehr… BibTeX Volltext ( DOI )

2012

  • Richter, Thomas; Springer, Andreas; Vexler, Boris: Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems. Numerische Mathematik 124 (1), 2012, 151-182 mehr… BibTeX Volltext ( DOI )

2011

  • Apel, Thomas; Benedix, Olaf; Sirch, Dieter; Vexler, Boris: A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side. SIAM Journal on Numerical Analysis 49 (3), 2011, 992-1005 mehr… BibTeX Volltext ( DOI )
  • Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd: Finite element error estimates for Neumann boundary control problems on graded meshes. Computational Optimization and Applications 52 (1), 2011, 3-28 mehr… BibTeX Volltext ( DOI )
  • Kaltenbacher, Barbara; Kirchner, Alana; Vexler, Boris: Adaptive discretizations for the choice of a Tikhonov regularization parameter in nonlinear inverse problems. Inverse Problems 27 (12), 2011, 125008 mehr… BibTeX Volltext ( DOI )
  • Kirchner, Alana; Meidner, Dominik; Vexler, Boris: Trust Region Methods with Hierarchical Finite Element Models for PDE-Constrained Optimization. Control and Cybernetics 40 (4), 2011, 1019-1042 mehr… BibTeX
  • Kröner, Axel; Kunisch, Karl; Vexler, Boris: Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints. SIAM Journal on Control and Optimization 49 (2), 2011, 830-858 mehr… BibTeX Volltext ( DOI )
  • Meidner, Dominik; Rannacher, Rolf; Vexler, Boris: A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimization Problems with Pointwise State Constraints in Time. SIAM Journal on Control and Optimization 49 (5), 2011, 1961-1997 mehr… BibTeX Volltext ( DOI )
  • Meidner, Dominik; Vexler, Boris: A Priori Error Analysis of the Petrov–Galerkin Crank–Nicolson Scheme for Parabolic Optimal Control Problems. SIAM Journal on Control and Optimization 49 (5), 2011, 2183-2211 mehr… BibTeX Volltext ( DOI )
  • Meidner, Dominik; Vexler, Boris: Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems. In: International Series of Numerical Mathematics. Springer Basel, 2011 mehr… BibTeX Volltext ( DOI )
  • Meidner, Dominik; Vexler, Boris: A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems. In: International Series of Numerical Mathematics. Springer Basel, 2011 mehr… BibTeX Volltext ( DOI )
  • Merino, Pedro; Neitzel, Ira; Tröltzsch, Fredi: On linear-quadratic elliptic control problems of semi-infinite type. Applicable Analysis 90 (6), 2011, 1047-1074 mehr… BibTeX Volltext ( DOI )
  • Neitzel, Ira; Prüfert, Uwe; Slawig, Thomas: A Smooth Regularization of the Projection Formula for Constrained Parabolic Optimal Control Problems. Numerical Functional Analysis and Optimization 32 (12), 2011, 1283-1315 mehr… BibTeX Volltext ( DOI )
  • Neitzel, Ira; Vexler, Boris: A priori error estimates for space–time finite element discretization of semilinear parabolic optimal control problems. Numerische Mathematik 120 (2), 2011, 345-386 mehr… BibTeX Volltext ( DOI )

2010

  • Krumbiegel, Klaus; Neitzel, Ira; Rösch, Arnd: Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints. Computational Optimization and Applications 52 (1), 2010, 181-207 mehr… BibTeX Volltext ( DOI )

2009

  • Kröner, Axel; Vexler, Boris: A priori error estimates for elliptic optimal control problems with a bilinear state equation. Journal of Computational and Applied Mathematics 230 (2), 2009, 781-802 mehr… BibTeX Volltext ( DOI )
  • Meidner, Dominik; Rannacher, Rolf; Vihharev, Jevgeni: Goal-oriented error control of the iterative solution of finite element equations. Journal of Numerical Mathematics 17 (2), 2009 mehr… BibTeX Volltext ( DOI )
  • Merino, Pedro; Tröltzsch, Fredi; Vexler, Boris: 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), 2009, 167-188 mehr… BibTeX Volltext ( DOI )

2008

  • Benedix, Olaf; Vexler, Boris: A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints. Computational Optimization and Applications 44 (1), 2008, 3-25 mehr… BibTeX Volltext ( DOI )
  • Griesbaum, Anke; Kaltenbacher, Barbara; Vexler, Boris: Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization. Inverse Problems 24 (2), 2008, 025025 mehr… BibTeX Volltext ( DOI )
  • Meidner, Dominik; Vexler, Boris: A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints. SIAM Journal on Control and Optimization 47 (3), 2008, 1150-1177 mehr… BibTeX Volltext ( DOI )
  • Meidner, Dominik; Vexler, Boris: A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints. SIAM Journal on Control and Optimization 47 (3), 2008, 1301-1329 mehr… BibTeX Volltext ( DOI )
  • Meidner, Dominik; Vexler, Boris: A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems. In: Numerical Mathematics and Advanced Applications. Springer Berlin Heidelberg, 2008 mehr… BibTeX Volltext ( DOI )
  • Neitzel, Ira; Prüfert, Uwe; Slawig, Thomas: Strategies for time-dependent PDE control with inequality constraints using an integrated modeling and simulation environment. Numerical Algorithms 50 (3), 2008, 241-269 mehr… BibTeX Volltext ( DOI )
  • Neitzel, Ira; Tröltzsch, Fredi: On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints. ESAIM: Control, Optimisation and Calculus of Variations 15 (2), 2008, 426-453 mehr… BibTeX Volltext ( DOI )
  • Schmich, Michael; Vexler, Boris: Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations. SIAM Journal on Scientific Computing 30 (1), 2008, 369-393 mehr… BibTeX Volltext ( DOI )
  • Vexler, Boris; Wollner, Winnifried: Adaptive Finite Elements for Elliptic Optimization Problems with Control Constraints. SIAM Journal on Control and Optimization 47 (1), 2008, 509-534 mehr… BibTeX Volltext ( DOI )
  • de los Reyes, Juan Carlos; Meyer, Christian; Vexler, Boris: Finite Element Error Analysis for State-Constrained Optimal Control of the Stokes Equations. Control and Cybernetics 37 (2), 2008, 251-284 mehr… BibTeX

2007

  • Amstutz, Samuel; Takahashi, Takéo; Vexler, Boris: Topological sensitivity analysis for time-dependent problems. ESAIM: Control, Optimisation and Calculus of Variations 14 (3), 2007, 427-455 mehr… BibTeX Volltext ( DOI )
  • Becker, Roland; Braack, Malte; Meidner, Dominik; Rannacher, Rolf; Vexler, Boris: Adaptive Finite Element Methods for PDE-Constrained Optimal Control Problems. In: Reactive Flows, Diffusion and Transport. Springer Berlin Heidelberg, 2007 mehr… BibTeX Volltext ( DOI )
  • Becker, Roland; Meidner, Dominik; Vexler, Boris: Efficient numerical solution of parabolic optimization problems by finite element methods. Optimization Methods and Software 22 (5), 2007, 813-833 mehr… BibTeX Volltext ( DOI )
  • Becker, Roland; Vexler, Boris: Optimal control of the convection-diffusion equation using stabilized finite element methods. Numerische Mathematik 106 (3), 2007, 349-367 mehr… BibTeX Volltext ( DOI )
  • Griesse, Roland; Vexler, Boris: Numerical Sensitivity Analysis for the Quantity of Interest in PDE‐Constrained Optimization. SIAM Journal on Scientific Computing 29 (1), 2007, 22-48 mehr… BibTeX Volltext ( DOI )
  • Kunisch, Karl; Vexler, Boris: Optimal Vortex Reduction for Instationary Flows Based on Translation Invariant Cost Functionals. SIAM Journal on Control and Optimization 46 (4), 2007, 1368-1397 mehr… BibTeX Volltext ( DOI )
  • Kunisch, Karl; Vexler, Boris: Constrained Dirichlet Boundary Control in $L^2$ for a Class of Evolution Equations. SIAM Journal on Control and Optimization 46 (5), 2007, 1726-1753 mehr… BibTeX Volltext ( DOI )
  • Meidner, Dominik; Vexler, Boris: Adaptive Space‐Time Finite Element Methods for Parabolic Optimization Problems. SIAM Journal on Control and Optimization 46 (1), 2007, 116-142 mehr… BibTeX Volltext ( DOI )
  • Vexler, Boris: Finite Element Approximation of Elliptic Dirichlet Optimal Control Problems. Numerical Functional Analysis and Optimization 28 (7-8), 2007, 957-973 mehr… BibTeX Volltext ( DOI )

2006

  • Rösch, Arnd; Vexler, Boris: Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing. SIAM Journal on Numerical Analysis 44 (5), 2006, 1903-1920 mehr… BibTeX Volltext ( DOI )

2005

  • Becker, Roland; Braack, Malte; Vexler, Boris: Parameter identification for chemical models in combustion problems. Applied Numerical Mathematics 54 (3-4), 2005, 519-536 mehr… BibTeX Volltext ( DOI )
  • Becker, Roland; Vexler, Boris: Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations. Journal of Computational Physics 206 (1), 2005, 95-110 mehr… BibTeX Volltext ( DOI )
  • Rannacher, Rolf; Vexler, Boris: 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), 2005, 1844-1863 mehr… BibTeX Volltext ( DOI )

2004

  • Becker, Roland; Braack, Malte; Vexler, Boris: Numerical parameter estimation for chemical models in multidimensional reactive flows. Combustion Theory and Modelling 8 (4), 2004, 661-682 mehr… BibTeX Volltext ( DOI )
  • Vexler, Boris; Becker, Roland: A posteriori error estimation for finite element discretization of parameter identification problems. Numerische Mathematik 96 (3), 2004, 435-459 mehr… BibTeX Volltext ( DOI )