Dr. Dominik Meidner

Publikationen

Wordle

Wissenschaftliche Beiträge in Zeitschriften
Dominik Meidner, Johannes Pfefferer, Klemens Schürholz, Boris Vexler:
hp-Finite Elements for Fractional Diffusion
submitted, Preprint arXiv: 1706.04066, 2017.
Dominik Meidner, Boris Vexler:
Optimal Error Estimates for Fully Discrete Galerkin Approximations of Semilinear Parabolic Equations
submitted, Preprint arXiv: 1707.07889, 2017.
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)
Dominik Meidner, Thomas Richter:
A Posteriori Error Estimation for the Fractional Step Theta Discretization of the Incompressible Navier-Stokes Equations
Computer Methods in Applied Mechanics and Engineering 288, pp. 45-59, 2015. (doi:10.1016/j.cma.2014.11.031)
Dominik Meidner, Thomas Richter:
Goal-Oriented Error Estimation for the Fractional Step Theta Scheme
Computational Methods in Applied Mathematics 14(2), pp. 203-220, 2014. (doi:10.1515/cmam-2014-0002)
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)
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.
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)
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)
Dominik Meidner, Rolf Rannacher, Jevgeni Vihharev:
Goal-Oriented Error Control of the Iterative Solution of Finite Element Equations
Journal of Numerical Mathematics 17(2), pp. 143-172, 2009. (doi:10.1515/JNUM.2009.009)
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)
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)
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)
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)

Wissenschaftliche Beiträge in Sammelbänden
Thomas G. Flaig, Dominik Meidner, Boris Vexler:
Petrov-Galerkin Crank-Nicolson Scheme for Parabolic Optimal Control Problems on Nonsmooth Domains
Trends in PDE Constrained Optimization: Günter Leugering, Peter Benner, Sebastian Engell, Andreas Griewank, Helmut Harbrecht, Michael Hinze, Rolf Rannacher, Stefan Ulbrich (ed.),
Springer Verlag, Basel, 2014. (doi:10.1007/978-3-319-05083-6_26)
Dominik Meidner, Boris Vexler:
A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems
Constrained Optimization and Optimal Control for Partial Differential Equations: Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, Stefan Ulbrich (ed.),
Springer Verlag, Basel, pp. 445-466, 2012. (doi:10.1007/978-3-0348-0133-1_23)
Dominik Meidner, Boris Vexler:
Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems
Constrained Optimization and Optimal Control for Partial Differential Equations: Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, Stefan Ulbrich (ed.),
Springer Verlag, Basel, pp. 319-348, 2012. (doi:10.1007/978-3-0348-0133-1_18)
Dominik Meidner, Boris Vexler:
A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems
Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2007: Karl Kunisch, Günter Of, Olaf Steinbach (ed.),
Springer Verlag, Berlin, 2008, pp. 645-652, 2008. (doi:10.1007/978-3-540-69777-0_77)
Roland Becker, Malte Braack, Dominik Meidner, Rolf Rannacher, Boris Vexler:
Adaptive Finite Element Methods for PDE-Constrained Optimal Control Problems
Reactive Flows, Diffusion and Transport: Willi Jäger, Rolf Rannacher, Jürgen Warnatz (ed.),
Springer Verlag, Berlin, pp. 177-205, 2007. (doi:10.1007/978-3-540-28396-6_8)

Dissertation und Diplomarbeit
Adaptive Space-Time Finite Element Methods for Optimization Problems Governed by Nonlinear Parabolic Systems
PhD Thesis, Ruprecht-Karls-Universität Heidelberg, 2008. (urn:nbn:de:bsz:16-opus-82723)
Vergleich zweier Charakteristikenverfahren für Konvektions-Diffusions-Gleichungen
Diploma Thesis, Ruprecht-Karls-Universität Heidelberg, 2003.
 
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