| Wissenschaftliche Beiträge in Zeitschriften |
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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) |
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Niklas Behringer, Dmitriy Leykekhman, Boris Vexler:
Fully discrete best approximation type estimates in L∞(I;L2(W)d) for finite element discretizations of the transient Stokes equations
Submitted, Preprint arXiv: 2107.11051, 2021. |
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Dominik Hafemeyer, Florian Mannel, Ira Neitzel, Boris Vexler:
Finite element error estimates for one-dimensional elliptic optimal control by BV functions
American Institute of Mathematical Science, Mathematical Control & Related Fields, V 10(2), pp. 333-363, 2020. (doi:10.3934/mcrf.2019041) |
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Dmitriy Leykekhman, Boris Vexler, Daniel Walter:
Numerical Analysis of sparse initial data identification for parabolic problems
Mathematical Modelling and Numerical Analysis, 54(4), pp. 1139-1180, 2020. (doi:10.1051/m2an/2019083) |
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Niklas Behringer, Dmitriy Leykekhman, Boris Vexler:
Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra
SIAM Journal on Numerical Analysis, 58(3), pp. 1531-1555, 2020. (doi:10.1137/19M1274456) |
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Sebastian Engel, Philip Trautmann, Boris Vexler:
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, draa032, published online, 2020. (doi:10.1093/imanum/draa032) |
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Dominik Meidner, Boris Vexler:
Optimal Error Estimates for Fully Discrete Galerkin Approximations of Semilinear Parabolic Equations
ESAIM: Mathematical Modelling and Numerical Analysis 52(6), pp. 2307-2325, 2019. (doi:10.1051/m2an/2018040) |
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Lucas Bonifacius, Konstantin Pieper, Boris Vexler:
A priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems
SIAM Journal on Control and Optimization, 57(1) pp 129-162, 2019. (doi:10.1137/18M1166948) |
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Niklas Behringer, Dominik Meidner, Boris Vexler:
Finite Element Error Estimates for Optimal Control Problems with Pointwise Tracking
Pure and Applied Functional Analysis 4(2), pp. 177-204, 2019. |
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Ira Neitzel, Konstantin Pieper, Boris Vexler, Daniel Walter:
A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems
Numerische Mathematik, 143(4), pp. 943-984, 2019. (doi:10.1007/s00211-019-01073-3) |
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Lucas Bonifacius, Konstantin Pieper, Boris Vexler:
Error estimates for space-time discretization of parabolic time-optimal control problems with bang-bang controls
SIAM Journal on Control and Optimization 57(3), pp. 1730-1756, 2019. (doi:10.1137/18M1213816) |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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Eduardo Casas, Boris Vexler, Enrique Zuazua:
Sparse initial data identification for parabolic PDE and it´s finite element approximations
Mathematical Control and Related Fields 5(3), pp. 377-399, 2015. (doi:10.3934/mcrf.2015.5.377) |
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Andreas Springer, Boris Vexler:
Third Order Convergent Time Discretization for Parabolic Optimal Control Problems with Control Constraints
Computational Optimization and Applications 57(1), pp. 205-240, 2014. (doi:10.1007/s10589-013-9580-5) |
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Eduardo Casas, Mariano Mateos, Boris Vexler:
New Regularity Results and Improved Error Estimates for Optimal Control Problems with State Constraints
ESAIM: Control, Optimisation and Calculus of Variations 20(3), pp. 803-822, 2014. (doi:10.1051/cocv/2013084) |
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Barbara Kaltenbacher, Alana Kirchner, Boris Vexler:
Goal oriented adaptivity in the IRGNM for parameter identification in PDEs II: All-at-once formulations
Inverse Problems, 30(4), 045002, 2014. (doi:10.1088/0266-5611/30/4/045002) |
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Karl Kunisch, Konstantin Pieper, Boris Vexler:
Measure valued directional sparsity for parabolic optimal control problems
SIAM Journal on Control and Optimization 52(5), pp. 3078-3108, 2014. (doi:10.1137/140959055) |
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Dmitriy Leykekhman, Dominik Meidner, Boris Vexler:
Optimal Error Estimates for Finite Element Discretization of Elliptic Optimal Control Problems with Finitely Many Pointwise State Constraints
Computational Optimization and Applications 55(3), pp. 769-802, 2013. (doi:10.1007/s10589-013-9537-8) |
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Konstantin Pieper, Boris Vexler:
A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space
SIAM Journal on Control and Optimization 51(4), pp. 2788-2808, 2013. (doi:10.1137/120889137) |
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Dmitriy Leykekhman, Boris Vexler:
Optimal a Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control
SIAM Journal on Numerical Analysis 51(5), pp. 2797-2821, 2013. (doi:10.1137/120885772) |
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Sandra May, Rolf Rannacher, Boris Vexler:
Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems
SIAM Journal on Control and Optimization 51 (3), pp. 2585-2611, 2013. (doi:10.1137/080735734) |
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Bernhard Kiniger, Boris Vexler:
A Priori Error Estimates for Finite Element Discretizations of a Shape Optimization Problem
ESAIM: Mathematical Modelling and Numerical Analysis 47(6), pp. 1733-1763, 2013. (doi:10.1051/m2an/2013086) |
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Thomas Richter, Andreas Springer, Boris Vexler:
Efficient Numerical Realization of Discontinuous Galerkin Methods for Temporal Discretization of Parabolic Problems
Numerische Mathematik 124(1), pp. 151-182, 2013. (doi:10.1007/s00211-012-0511-7) |
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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) |
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Alana Kirchner, Dominik Meidner, Boris Vexler:
Trust Region Methods with Hierarchical Finite Element Models for PDE-Constrained Optimization
Control and Cybernetics 40(4), pp. 1019-1042, 2011. |
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Dominik Meidner, Boris Vexler:
A Priori Error Analysis of the Petrov-Galerkin Crank-Nicolson Scheme for Parabolic Optimal Control Problems
SIAM Journal on Control and Optimization 49(5), pp. 2183-2211, 2011. (doi:10.1137/100809611) |
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Dominik Meidner, Rolf Rannacher, Boris Vexler:
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), pp. 1961-1997, 2011. (doi:10.1137/100793888) |
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Barbara Kaltenbacher, Alana Kirchner, Boris Vexler:
Adaptive Discretizations for the Choice of a Tikhonov Regularization Parameter in Nonlinear Inverse Problems
Inverse Problems 27(12), 2011. (doi:10.1088/0266-5611/27/12/125008) |
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Axel Kröner, Karl Kunisch, Boris Vexler:
Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints
SIAM Journal on Control and Optimization 49(2), pp. 830-858, 2011. (doi:10.1137/090766541) |
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Thomas Apel, Olaf Benedix, Dieter Sirch, Boris Vexler:
A Priori Mesh Grading for an Elliptic Problem with Dirac Right-hand Side
SIAM Journal on Numerical Analysis 49(3), pp. 992-1005, 2011. (doi:10.1137/090778018) |
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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) |
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Olaf Benedix, Boris Vexler:
A Posteriori Error Estimation and Adaptivity for Elliptic Optimal Control Problems with State Constraints
Computational Optimization and Applications 44(1), pp. 3-25, 2009. (doi:10.1007/s10589-008-9200-y) |
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Axel Kröner, Boris Vexler:
A Priori Error Estimates for Elliptic Optimal Control Problems with Bilinear State Equation
Journal of Computational and Applied Mathematics 230(2), pp. 781-802, 2009. (doi:10.1016/j.cam.2009.01.023) |
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Dominik Meidner, Boris Vexler:
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), pp. 1301-1329, 2008. (doi:10.1137/070694028) |
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Dominik Meidner, Boris Vexler:
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), pp. 1150-1177, 2008. (doi:10.1137/070694016) |
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Samuel Amstutz, Takeo Takahashi, Boris Vexler:
Topological Sensitivity Analysis for Time-Dependent Problems
ESAIM: Control, Optimisation and Calculus of Variations 14(3), pp. 427-455, 2008. (doi:10.1051/cocv:2007059) |
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Michael Schmich, Boris Vexler:
Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
SIAM Journal on Scientific Computing 30(1), pp. 369-393, 2008. (doi:10.1137/060670468) |
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Boris Vexler, Winnifried Wollner:
Adaptive Finite Elements for Elliptic Optimization Problems with Control Constraints
SIAM Journal on Control and Optimization 47(1), pp. 509-534, 2008. (doi:10.1137/070683416) |
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Anke Griesbaum, Barbara Kaltenbacher, Boris Vexler:
Efficient Computation of the Tikhonov Regularization Parameter by Goal Oriented Adaptive Discretization
Inverse Problems 24(2), 2008. (doi:10.1088/0266-5611/24/2/025025) |
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Juan Carlos de los Reyes, Christian Meyer, Boris Vexler:
Finite Element Error Analysis for State-Constrained Optimal Control of the Stokes Equations
Control and Cybernetics 37(2), pp. 251-284, 2008. |
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Dominik Meidner, Boris Vexler:
Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems
SIAM Journal on Control and Optimization 46(1), pp. 116-142, 2007. (doi:10.1137/060648994) |
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Roland Becker, Dominik Meidner, Boris Vexler:
Efficient Numerical Solution of Parabolic Optimization Problems by Finite Element Methods
Optimization Methods and Software 22(5), pp. 813-833, 2007. (doi:10.1080/10556780701228532) |
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Boris Vexler:
Finite Element Approximation of Elliptic Dirichlet Optimal Control Problems
Numerical Functional Analysis and Optimization 28(7-8), pp. 957-973, 2007. (doi:10.1080/01630560701493305) |
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Roland Griesse, Boris Vexler:
Numerical Sensitivity Analysis for the Quantity of Interest in PDE-constrained Optimization
SIAM Journal on Scientific Computing 29(1), pp. 22-48, 2007. (doi:10.1137/050637273) |
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Roland Becker, Boris Vexler:
Optimal Control of the Convection-Diffusion Equation Using Stabilized Finite Element Methods
Numerische Mathematik 106(3), pp. 349-367, 2007. (doi:10.1007/s00211-007-0067-0) |
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Karl Kunisch, Boris Vexler:
Optimal Vortex Reduction for Instationary Flows based on Translation Invariant Cost Functionals
SIAM Journal on Control and Optimization 46(4), pp. 1368-1397, 2007. (doi:10.1137/050632774) |
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Karl Kunisch, Boris Vexler:
Constrained Dirichlet Boundary Control in L2 for a Class of Evolution Equations
SIAM Journal on Control and Optimization 46(5), 1726-1753, 2007. (doi:10.1137/060670110) |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
