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2025
- Optimal control of semilinear elliptic partial differential equations with non-Lipschitzian nonlinearities. Mathematical Control and Related Fields 15 (3), 2025, 1049-1065 more… BibTeX Full text ( DOI )
- Energy Space Newton Differentiability for Solution Maps of Unilateral and Bilateral Obstacle Problems. SIAM Journal on Control and Optimization 63 (1), 2025, 292-320 more… BibTeX Full text ( DOI )
- A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time. IMA Journal of Numerical Analysis, 2025 more… BibTeX Full text ( DOI )
- A priori error estimates for finite element discretization of semilinear elliptic equations with non-Lipschitz nonlinearities. ESAIM: Mathematical Modelling and Numerical Analysis 59 (2), 2025, 1095-1112 more… BibTeX Full text ( DOI )
- Optimal Control of the Navier-Stokes equations via Pressure Boundary Conditions. , 2025 more… BibTeX Full text ( DOI )
2024
- A Globalized Inexact Semismooth Newton Method for Nonsmooth Fixed-point Equations involving Variational Inequalities. , 2024 more… BibTeX Full text ( DOI )
- On the identification and optimization of nonsmooth superposition operators in semilinear elliptic PDEs. ESAIM: Control, Optimisation and Calculus of Variations 30, 2024, 16 more… BibTeX Full text ( DOI )
- Numerical Analysis for Dirichlet Optimal Control Problems on Convex Polyhedral Domains. , 2024 more… BibTeX Full text ( DOI )
- Numerical Analysis for Neumann Optimal Control Problems on Convex Polyhedral Domains. , 2024 more… BibTeX Full text ( DOI )
- Gas Source Localization Using Physics-Guided Neural Networks. 2024 IEEE International Symposium on Olfaction and Electronic Nose (ISOEN), IEEE, 2024 more… BibTeX Full text ( DOI )
- Error estimates for finite element discretizations of the instationary Navier-Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis, 2024 more… BibTeX Full text ( DOI )
2023
- Strong Stationarity Conditions for Optimal Control Problems Governed by a Rate-Independent Evolution Variational Inequality. SIAM Journal on Control and Optimization 61 (4), 2023, 2222-2250 more… BibTeX Full text ( DOI )
- On the Omnipresence of Spurious Local Minima in Certain Neural Network Training Problems. Constructive Approximation 60 (2), 2023, 197-224 more… BibTeX Full text ( DOI )
- Semismoothness for Solution Operators of Obstacle-Type Variational Inequalities with Applications in Optimal Control. SIAM Journal on Control and Optimization 61 (3), 2023, 1162-1186 more… BibTeX Full text ( DOI )
- \(L^2(I;H^1(\Omega )^d)\) and \(L^2(I;L^2(\Omega )^d)\) best approximation type error estimates for Galerkin solutions of transient Stokes problems. Calcolo 61 (1), 2023 more… BibTeX Full text ( DOI )
- Fully discrete pointwise smoothing error estimates for measure valued initial data. ESAIM: Mathematical Modelling and Numerical Analysis 57 (5), 2023, 3091-3111 more… BibTeX Full text ( DOI )
2022
- 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 43 (2), 2022, 852-880 more… BibTeX Full text ( DOI )
- On the nonuniqueness and instability of solutions of tracking-type optimal control problems. Mathematical Control & Related Fields 12 (2), 2022, 421 more… BibTeX Full text ( DOI )
- Lipschitz Stability and Hadamard Directional Differentiability for Elliptic and Parabolic Obstacle-Type Quasi-variational Inequalities. SIAM Journal on Control and Optimization 60 (6), 2022, 3430-3456 more… BibTeX Full text ( DOI )
- A path-following inexact Newton method for PDE-constrained optimal control in BV. Computational Optimization and Applications, 2022 more… BibTeX Full text ( DOI )
- Finite Element Approximations for PDEs with Irregular Dirichlet Boundary Data on Boundary Concentrated Meshes. Computational Methods in Applied Mathematics 0 (0), 2022 more… BibTeX Full text ( DOI )
2021
- 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 more… BibTeX Full text ( DOI )
- On the Stability Properties and the Optimization Landscape of Training Problems with Squared Loss for Neural Networks and General Nonlinear Conic Approximation Schemes. Journal of Machine Learning Research 22 (263), 2021, 1-77 more… BibTeX
- Strong Stationarity for Optimal Control of Variational Inequalities of the Second Kind. In: International Series of Numerical Mathematics. Springer International Publishing, 2021 more… BibTeX Full text ( DOI )
- Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation. ESAIM: Control, Optimisation and Calculus of Variations 27, 2021, S13 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
2020
- 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 more… BibTeX Full text ( DOI )
- Time-optimality by distance-optimality for parabolic control systems. ESAIM: Mathematical Modelling and Numerical Analysis 54 (1), 2020, 79-103 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem. Numerische Mathematik 145 (3), 2020, 513-551 more… BibTeX Full text ( DOI )
- On second-order optimality conditions for optimal control problems governed by the obstacle problem. Optimization 70 (10), 2020, 2247-2287 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- A Parallel Newton Multigrid Framework for Monolithic Fluid-Structure Interactions. Journal of Scientific Computing 82 (2), 2020 more… BibTeX Full text ( DOI )
- A Newton multigrid framework for optimal control of fluid–structure interactions. Optimization and Engineering 22 (4), 2020, 2009-2037 more… BibTeX Full text ( DOI )
- Finite element error estimates for one-dimensional elliptic optimal control by BV-functions. Mathematical Control & Related Fields 10 (2), 2020, 333-363 more… BibTeX Full text ( DOI )
- Numerical analysis of sparse initial data identification for parabolic problems. ESAIM: Mathematical Modelling and Numerical Analysis 54 (4), 2020, 1139-1180 more… BibTeX Full text ( DOI )
- Inverse point source location with the Helmholtz equation on a bounded domain. Computational Optimization and Applications 77 (1), 2020, 213-249 more… BibTeX Full text ( DOI )
2019
- Superconvergent Graded Meshes for an Elliptic Dirichlet Control Problem. In: Lecture Notes in Computational Science and Engineering. Springer International Publishing, 2019 more… BibTeX Full text ( DOI )
- Finite Element Error Estimates for Optimal Control Problems with Pointwise Tracking. Pure and Applied Functional Analysis 4 (2), 2019, 177-204 more… BibTeX
- 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 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- Strong stability of linear parabolic time-optimal control problems. ESAIM: Control, Optimisation and Calculus of Variations 25, 2019, 1 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- Sensitivity Analysis and Optimal Control of Obstacle-Type Evolution Variational Inequalities. SIAM Journal on Control and Optimization 57 (1), 2019, 192-218 more… BibTeX Full text ( DOI )
- Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators. Applied Mathematics & Optimization 81 (1), 2019, 23-62 more… BibTeX Full text ( DOI )
- A FEM for an optimal control problem subject to the fractional Laplace equation. Calcolo 56 (4), 2019 more… BibTeX Full text ( DOI )
- An application of sparse measure valued Bayesian inversion to acoustic sound source identification. Inverse Problems 35 (7), 2019, 075005 more… BibTeX Full text ( DOI )
- Optimal control of time-discrete two-phase flow driven by a diffuse-interface model. ESAIM: Control, Optimisation and Calculus of Variations 25, 2019, 13 more… BibTeX Full text ( DOI )
- Finite element error estimates in \(L^2\) for regularized discrete approximations to the obstacle problem. Numerische Mathematik 144 (1), 2019, 133-156 more… BibTeX Full text ( DOI )
- Bayesian Parameter Identification in Cahn--Hilliard Models for Biological Growth. SIAM/ASA Journal on Uncertainty Quantification 7 (2), 2019, 526-552 more… BibTeX Full text ( DOI )
- A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems. Numerische Mathematik 143 (4), 2019, 943-984 more… BibTeX Full text ( DOI )
- Finite Element Error Estimates for Normal Derivatives on Boundary Concentrated Meshes. SIAM Journal on Numerical Analysis 57 (5), 2019, 2043-2073 more… BibTeX Full text ( DOI )
2018
- Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization. Communications in Mathematical Sciences 16 (5), 2018, 1395-1426 more… BibTeX Full text ( DOI )
- Error estimates for Dirichlet control problems in polygonal domains: Quasi-uniform meshes. Mathematical Control & Related Fields 8 (1), 2018, 217-245 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- Second order optimality conditions for optimal control of quasilinear parabolic equations. Mathematical Control & Related Fields 8 (1), 2018, 1-34 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- Optimal control of a non-smooth semilinear elliptic equation. Mathematical Control & Related Fields 8 (1), 2018, 247-276 more… BibTeX Full text ( DOI )
- A Note on the Equivalence and the Boundary Behavior of a Class of Sobolev Capacities. GAMM-Mitteilungen 40 (3), 2018, 238-266 more… BibTeX Full text ( DOI )
- On the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces. GAMM-Mitteilungen 40 (4), 2018, 339-350 more… BibTeX Full text ( DOI )
- No-Gap Second-Order Conditions via a Directional Curvature Functional. SIAM Journal on Optimization 28 (3), 2018, 2097-2130 more… BibTeX Full text ( DOI )
- Adaptive time-step control for nonlinear fluid–structure interaction. Journal of Computational Physics 366, 2018, 448-477 more… BibTeX Full text ( DOI )
- A phase field approach to shape optimization in Navier–Stokes flow with integral state constraints. Advances in Computational Mathematics 44 (5), 2018, 1345-1383 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- Parameter Identification via Optimal Control for a Cahn–Hilliard-Chemotaxis System with a Variable Mobility. Applied Mathematics & Optimization 82 (1), 2018, 63-104 more… BibTeX Full text ( DOI )
- Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems. SIAM Journal on Numerical Analysis 56 (4), 2018, 2178-2202 more… BibTeX Full text ( DOI )
- hp-Finite Elements for Fractional Diffusion. SIAM Journal on Numerical Analysis 56 (4), 2018, 2345-2374 more… BibTeX Full text ( DOI )
- Optimal error estimates for fully discrete Galerkin approximations of semilinear parabolic equations. ESAIM: Mathematical Modelling and Numerical Analysis 52 (6), 2018, 2307-2325 more… BibTeX Full text ( DOI )
- Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients. Mathematical Control & Related Fields 8 (2), 2018, 411-449 more… BibTeX Full text ( DOI )
2017
- A note on semilinear fractional elliptic equation: analysis and discretization. ESAIM: Mathematical Modelling and Numerical Analysis 51 (6), 2017, 2049-2067 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- Sparse Optimal Control of the KdV-Burgers Equation on a Bounded Domain. SIAM Journal on Control and Optimization 55 (6), 2017, 3673-3706 more… BibTeX Full text ( DOI )
- $L^\infty$-error estimates for the obstacle problem revisited. Calcolo 54 (4), 2017, 1243-1264 more… BibTeX Full text ( DOI )
- A note on a priori $L^p$-error estimates for the obstacle problem. Numerische Mathematik 139 (1), 2017, 27-45 more… BibTeX Full text ( DOI )
- Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with a Moving Point Control. In: Springer INdAM Series. Springer International Publishing, 2017 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- An Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model. SIAM Journal on Control and Optimization 55 (4), 2017, 2271-2288 more… BibTeX Full text ( DOI )
2016
- 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 more… BibTeX Full text ( DOI )
- Optimal Control of a Linear Unsteady Fluid–Structure Interaction Problem. Journal of Optimization Theory and Applications 170 (1), 2016, 1-27 more… BibTeX Full text ( DOI )
- Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach. Interfaces and Free Boundaries 18 (2), 2016, 219-261 more… BibTeX Full text ( DOI )
- A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow. Applied Numerical Mathematics 99, 2016, 151-171 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls. SIAM Journal on Control and Optimization 54 (3), 2016, 1212-1244 more… BibTeX Full text ( DOI )
- Discrete maximal parabolic regularity for Galerkin finite element methods. Numerische Mathematik 135 (3), 2016, 923-952 more… BibTeX Full text ( DOI )
- Finite Element Pointwise Results on Convex Polyhedral Domains. SIAM Journal on Numerical Analysis 54 (2), 2016, 561-587 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems. SIAM Journal on Numerical Analysis 54 (3), 2016, 1365-1384 more… BibTeX Full text ( DOI )
2015
- 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 more… BibTeX Full text ( DOI )
- Local mesh refinement for the discretization of Neumann boundary control problems on polyhedra. Mathematical Methods in the Applied Sciences 39 (5), 2015, 1206-1232 more… BibTeX Full text ( DOI )
- Data assimilation for hyperbolic conservation laws: A Luenberger observer approach based on a kinetic description. Communications in Mathematical Sciences 13 (3), 2015, 587-622 more… BibTeX Full text ( DOI )
- Sparse initial data identification for parabolic PDE and its finite element approximations. Mathematical Control & Related Fields 5 (3), 2015, 377-399 more… BibTeX Full text ( DOI )
- Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids. SIAM Journal on Scientific Computing 37 (4), 2015, A1846-A1871 more… BibTeX Full text ( DOI )
- A Transformation Approach in Shape Optimization: Existence and Regularity Results. Numerical Functional Analysis and Optimization 36 (12), 2015, 1585-1621 more… BibTeX Full text ( DOI )
- Dirichlet control of elliptic state constrained problems. Computational Optimization and Applications 63 (3), 2015, 825-853 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
2014
- Finite element error estimates on the boundary with application to optimal control. Mathematics of Computation 84 (291), 2014, 33-70 more… BibTeX Full text ( DOI )
- Graded Meshes in Optimal Control for Elliptic Partial Differential Equations: An Overview. In: International Series of Numerical Mathematics. Springer International Publishing, 2014 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- Petrov-Galerkin Crank-Nicolson Scheme for Parabolic Optimal Control Problems on Nonsmooth Domains. In: International Series of Numerical Mathematics. Springer International Publishing, 2014 more… BibTeX Full text ( DOI )
- Goal oriented adaptivity in the IRGNM for parameter identification in PDEs: I. reduced formulation. Inverse Problems 30 (4), 2014, 045001 more… BibTeX Full text ( DOI )
- Goal oriented adaptivity in the IRGNM for parameter identification in PDEs: II. all-at-once formulations. Inverse Problems 30 (4), 2014, 045002 more… BibTeX Full text ( DOI )
- Superconvergence for Neumann boundary control problems governed by semilinear elliptic equations. Computational Optimization and Applications 61 (2), 2014, 373-408 more… BibTeX Full text ( DOI )
- Measure Valued Directional Sparsity for Parabolic Optimal Control Problems. SIAM Journal on Control and Optimization 52 (5), 2014, 3078-3108 more… BibTeX Full text ( DOI )
- Three-dimensional tool design for steady-state electrochemical machining by continuous adjoint-based shape optimization. Chemical Engineering Science 106, 2014, 198-210 more… BibTeX Full text ( DOI )
- Goal-Oriented Error Estimation for the Fractional Step Theta Scheme. Computational Methods in Applied Mathematics 14 (2), 2014, 203-230 more… BibTeX Full text ( DOI )
- An adaptive numerical method for semi-infinite elliptic control problems based on error estimates. Optimization Methods and Software 30 (3), 2014, 492-515 more… BibTeX Full text ( DOI )
2013
- A 2D model for hydrodynamics and biology coupling applied to algae growth simulations. ESAIM: Mathematical Modelling and Numerical Analysis 47 (5), 2013, 1387-1412 more… BibTeX Full text ( DOI )
- Analytical solutions for the free surface hydrostatic Euler equations. Communications in Mathematical Sciences 11 (4), 2013, 993-1010 more… BibTeX Full text ( DOI )
- An adaptive finite element Moreau–Yosida-based solver for a coupled Cahn–Hilliard/Navier–Stokes system. Journal of Computational Physics 235, 2013, 810-827 more… BibTeX Full text ( DOI )
- <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 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control. SIAM Journal on Numerical Analysis 51 (5), 2013, 2797-2821 more… BibTeX Full text ( DOI )
- Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems. SIAM Journal on Control and Optimization 51 (3), 2013, 2585-2611 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- Third order convergent time discretization for parabolic optimal control problems with control constraints. Computational Optimization and Applications 57 (1), 2013, 205-240 more… BibTeX Full text ( DOI )
2012
- Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems. Numerische Mathematik 124 (1), 2012, 151-182 more… BibTeX Full text ( DOI )
2011
- A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side. SIAM Journal on Numerical Analysis 49 (3), 2011, 992-1005 more… BibTeX Full text ( DOI )
- Finite element error estimates for Neumann boundary control problems on graded meshes. Computational Optimization and Applications 52 (1), 2011, 3-28 more… BibTeX Full text ( DOI )
- Adaptive discretizations for the choice of a Tikhonov regularization parameter in nonlinear inverse problems. Inverse Problems 27 (12), 2011, 125008 more… BibTeX Full text ( DOI )
- Trust Region Methods with Hierarchical Finite Element Models for PDE-Constrained Optimization. Control and Cybernetics 40 (4), 2011, 1019-1042 more… BibTeX
- Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints. SIAM Journal on Control and Optimization 49 (2), 2011, 830-858 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems. In: International Series of Numerical Mathematics. Springer Basel, 2011 more… BibTeX Full text ( DOI )
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems. In: International Series of Numerical Mathematics. Springer Basel, 2011 more… BibTeX Full text ( DOI )
- On linear-quadratic elliptic control problems of semi-infinite type. Applicable Analysis 90 (6), 2011, 1047-1074 more… BibTeX Full text ( DOI )
- A Smooth Regularization of the Projection Formula for Constrained Parabolic Optimal Control Problems. Numerical Functional Analysis and Optimization 32 (12), 2011, 1283-1315 more… BibTeX Full text ( DOI )
- A priori error estimates for space–time finite element discretization of semilinear parabolic optimal control problems. Numerische Mathematik 120 (2), 2011, 345-386 more… BibTeX Full text ( DOI )
2010
- Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints. Computational Optimization and Applications 52 (1), 2010, 181-207 more… BibTeX Full text ( DOI )
2009
- 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 more… BibTeX Full text ( DOI )
- Goal-oriented error control of the iterative solution of finite element equations. Journal of Numerical Mathematics 17 (2), 2009 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
2008
- A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints. Computational Optimization and Applications 44 (1), 2008, 3-25 more… BibTeX Full text ( DOI )
- Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization. Inverse Problems 24 (2), 2008, 025025 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- Strategies for time-dependent PDE control with inequality constraints using an integrated modeling and simulation environment. Numerical Algorithms 50 (3), 2008, 241-269 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
- Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations. SIAM Journal on Scientific Computing 30 (1), 2008, 369-393 more… BibTeX Full text ( DOI )
- Adaptive Finite Elements for Elliptic Optimization Problems with Control Constraints. SIAM Journal on Control and Optimization 47 (1), 2008, 509-534 more… BibTeX Full text ( DOI )
- Finite Element Error Analysis for State-Constrained Optimal Control of the Stokes Equations. Control and Cybernetics 37 (2), 2008, 251-284 more… BibTeX
2007
- Topological sensitivity analysis for time-dependent problems. ESAIM: Control, Optimisation and Calculus of Variations 14 (3), 2007, 427-455 more… BibTeX Full text ( DOI )
- Adaptive Finite Element Methods for PDE-Constrained Optimal Control Problems. In: Reactive Flows, Diffusion and Transport. Springer Berlin Heidelberg, 2007 more… BibTeX Full text ( DOI )
- Efficient numerical solution of parabolic optimization problems by finite element methods. Optimization Methods and Software 22 (5), 2007, 813-833 more… BibTeX Full text ( DOI )
- Optimal control of the convection-diffusion equation using stabilized finite element methods. Numerische Mathematik 106 (3), 2007, 349-367 more… BibTeX Full text ( DOI )
- Numerical Sensitivity Analysis for the Quantity of Interest in PDE‐Constrained Optimization. SIAM Journal on Scientific Computing 29 (1), 2007, 22-48 more… BibTeX Full text ( DOI )
- Optimal Vortex Reduction for Instationary Flows Based on Translation Invariant Cost Functionals. SIAM Journal on Control and Optimization 46 (4), 2007, 1368-1397 more… BibTeX Full text ( DOI )
- Constrained Dirichlet Boundary Control in $L^2$ for a Class of Evolution Equations. SIAM Journal on Control and Optimization 46 (5), 2007, 1726-1753 more… BibTeX Full text ( DOI )
- Adaptive Space‐Time Finite Element Methods for Parabolic Optimization Problems. SIAM Journal on Control and Optimization 46 (1), 2007, 116-142 more… BibTeX Full text ( DOI )
- Finite Element Approximation of Elliptic Dirichlet Optimal Control Problems. Numerical Functional Analysis and Optimization 28 (7-8), 2007, 957-973 more… BibTeX Full text ( DOI )
2006
- 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 more… BibTeX Full text ( DOI )
2005
- Parameter identification for chemical models in combustion problems. Applied Numerical Mathematics 54 (3-4), 2005, 519-536 more… BibTeX Full text ( DOI )
- Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations. Journal of Computational Physics 206 (1), 2005, 95-110 more… BibTeX Full text ( DOI )
- 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 more… BibTeX Full text ( DOI )
2004
- Numerical parameter estimation for chemical models in multidimensional reactive flows. Combustion Theory and Modelling 8 (4), 2004, 661-682 more… BibTeX Full text ( DOI )
- A posteriori error estimation for finite element discretization of parameter identification problems. Numerische Mathematik 96 (3), 2004, 435-459 more… BibTeX Full text ( DOI )