2024
- A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time. , 2024 mehr… BibTeX Volltext ( DOI )
- Numerical Analysis for Dirichlet Optimal Control Problems on Convex Polyhedral Domains. , 2024 mehr… BibTeX Volltext ( DOI )
- Numerical Analysis for Neumann Optimal Control Problems on Convex Polyhedral Domains. , 2024 mehr… BibTeX Volltext ( DOI )
- A priori error estimates for finite element discretization of semilinear elliptic equations with non-Lipschitz nonlinearities. , 2024 mehr… BibTeX Volltext ( DOI )
- Error estimates for finite element discretizations of the instationary Navier-Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis, 2024 mehr… BibTeX Volltext ( DOI )
2023
- \(L^2(I;H^1(\Omega )^d)\) and \(L^2(I;L^2(\Omega )^d)\) best approximation type error estimates for Galerkin solutions of transient Stokes problems. Calcolo 61 (1), 2023 mehr… BibTeX Volltext ( DOI )
- Fully discrete pointwise smoothing error estimates for measure valued initial data. ESAIM: Mathematical Modelling and Numerical Analysis 57 (5), 2023, 3091-3111 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
2021
- 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
- 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 )
- 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 )
- Finite element error estimates for one-dimensional elliptic optimal control by BV-functions. Mathematical Control & Related Fields 10 (2), 2020, 333-363 mehr… BibTeX Volltext ( DOI )
- 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 )
2019
- Finite Element Error Estimates for Optimal Control Problems with Pointwise Tracking. Pure and Applied Functional Analysis 4 (2), 2019, 177-204 mehr… BibTeX
- 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 )
- 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 )
- 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 )
2018
- 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 )
- 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 )
- hp-Finite Elements for Fractional Diffusion. SIAM Journal on Numerical Analysis 56 (4), 2018, 2345-2374 mehr… BibTeX Volltext ( DOI )
- 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 )
- 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 mehr… BibTeX Volltext ( DOI )
2017
- 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 )
- 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 )
2016
- 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 )
- 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 )
- Discrete maximal parabolic regularity for Galerkin finite element methods. Numerische Mathematik 135 (3), 2016, 923-952 mehr… BibTeX Volltext ( DOI )
- Finite Element Pointwise Results on Convex Polyhedral Domains. SIAM Journal on Numerical Analysis 54 (2), 2016, 561-587 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- 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
- Sparse initial data identification for parabolic PDE and its finite element approximations. Mathematical Control & Related Fields 5 (3), 2015, 377-399 mehr… BibTeX Volltext ( DOI )
2014
- 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 )
- 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 )
- 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 )
- Measure Valued Directional Sparsity for Parabolic Optimal Control Problems. SIAM Journal on Control and Optimization 52 (5), 2014, 3078-3108 mehr… BibTeX Volltext ( DOI )
2013
- <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 )
- 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 )
- 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 )
- 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 )
- 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 )
- 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
- 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
- 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 )
- Adaptive discretizations for the choice of a Tikhonov regularization parameter in nonlinear inverse problems. Inverse Problems 27 (12), 2011, 125008 mehr… BibTeX Volltext ( DOI )
- Trust Region Methods with Hierarchical Finite Element Models for PDE-Constrained Optimization. Control and Cybernetics 40 (4), 2011, 1019-1042 mehr… 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems. In: International Series of Numerical Mathematics. Springer Basel, 2011 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- 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 )
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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization. Inverse Problems 24 (2), 2008, 025025 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
- 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 )
- 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 )
- Finite Element Error Analysis for State-Constrained Optimal Control of the Stokes Equations. Control and Cybernetics 37 (2), 2008, 251-284 mehr… BibTeX
2007
- Topological sensitivity analysis for time-dependent problems. ESAIM: Control, Optimisation and Calculus of Variations 14 (3), 2007, 427-455 mehr… BibTeX Volltext ( DOI )
- Adaptive Finite Element Methods for PDE-Constrained Optimal Control Problems. In: Reactive Flows, Diffusion and Transport. Springer Berlin Heidelberg, 2007 mehr… BibTeX Volltext ( DOI )
- Efficient numerical solution of parabolic optimization problems by finite element methods. Optimization Methods and Software 22 (5), 2007, 813-833 mehr… BibTeX Volltext ( DOI )
- Optimal control of the convection-diffusion equation using stabilized finite element methods. Numerische Mathematik 106 (3), 2007, 349-367 mehr… BibTeX Volltext ( DOI )
- 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 )
- 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 )
- 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 )
- 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 )
- 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
- 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
- Parameter identification for chemical models in combustion problems. Applied Numerical Mathematics 54 (3-4), 2005, 519-536 mehr… BibTeX Volltext ( DOI )
- 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 )
- 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
- Numerical parameter estimation for chemical models in multidimensional reactive flows. Combustion Theory and Modelling 8 (4), 2004, 661-682 mehr… BibTeX Volltext ( DOI )
- A posteriori error estimation for finite element discretization of parameter identification problems. Numerische Mathematik 96 (3), 2004, 435-459 mehr… BibTeX Volltext ( DOI )