Dr. Dominik Meidner, AkadOR


Picture of Dominik Meidner

Technical University of Munich

Chair of Optimal Control (Prof. Vexler)

A list of previous courses can be found on TUMonline.

2017

  • Merchel, Sandra: Elliptic-Parabolic Splitting for Optimal Control Problems with Pointwise Control. Master thesis, 2017 more…
  • Sicheneder, Stefan: Fehlerabschätzungen für FEM-Diskretisierungen von elliptischen Kontrollproblemen mit Randbeobachtung. Master thesis, 2017 more…

2016

  • Behringer, Niklas: Error Analysis for FEM Discretization of Optimal Control Problems with Pointwise Tracking. Master thesis, 2016 more…
  • Hafemeyer, Dominik: Regularization and Discretization of a BV-controlled Elliptic Problem. Master thesis, 2016 more…
  • Schürholz, Klemens: hp-Finite Element Method for Fractional Diffusion. Master thesis, 2016 more…

2013

  • Bommer, Vera: A priori Fehlerabschätzungen für FE-Diskretisierung parabolischer Optimalsteuerungsprobleme mit Sparsity in der Zeit. , 2013 more…
  • Failer, Lukas: Optimal Control of Unsteady Fluid-Structure Interaction Problems. Master thesis, 2013 more…
  • Strohhammer, Barbara: Vergleich von SQP-und Newton-Verfahren in der optimalen Steuerung elliptischer PDEs. Diplom thesis, 2013 more…

2012

  • Ferstl, Katharina: A-Posterio-Abschätzung der Norm des Kontrollfehlers. Diplom thesis, 2012 more…
  • Gräfenstein, Elena: Vergleich verschiedener Optimierungsstrategien in der automatisierten Applikation. Diplom thesis, 2012 more…
  • Prehn, Thomas: Theorie und Numerik zum Common-Background-Vector-Modell. Diplom thesis, 2012 more…
  • Winkler, Paul: Topologieoptimierung zur Geräuschminderung von mechanischen Bauteilen. Diplom thesis, 2012 more…

2011

  • Hammerschmidt, Martin: Numerische Simulation in der Strahlentherapie. Diplom thesis, 2011 more…
  • Himmelstoß, Thomas: Stabilisierung und Parameteridentifikation für der Darcy-Gleichung. Diplom thesis, 2011 more…
  • Jakob, Stefan: Analyse der Anforderungen an wechselnde Gitter. Diplom thesis, 2011 more…
  • Klopotek, Aljoscha: A priori Fehlerabschätzungen für FE-Diskretisierung elliptischer Optimalsteuerungsprobleme mit einer Gleichungsbeschränkung an den Zustand in einem Punkt. Master thesis, 2011 more…
  • Kärcher, Mark: The Reduced-Basis Method for Parametrized Linear-Quadratic Elliptic Optimal Control Problems. Diplom thesis, 2011 more…
  • Pieper, Konstantin: Time-Optimal Control. Diplom thesis, 2011 more…
  • Trautmann, Philip: A priori Fehlerabschätzungen für elliptische Optimalsteuerungsprobleme in negativen Normen. Diplom thesis, 2011 more…

2010

  • Bickl, Katharina: Optimale Steuerung von Umschaltpunkten. Diplom thesis, 2010 more…
  • Boidol, Raphael: Untersuchung von statischen Timoshenko-Balken. Diplom thesis, 2010 more…
  • Müller, Christopher: Kollisionsfreie Roboterbahnplanung. Diplom thesis, 2010 more…
  • Quérios, Daniel: Optimale Steuerung in der Elektrophysiologie. Diplom thesis, 2010 more…
  • Springer, Andreas: Unstetige Galerkin-Verfahren höherer Ordnung für Optimierungsprobleme. Diplom thesis, 2010 more…
  • Styrnik, Michal: Simulation and Optimal Control of Laser Surface Hardening of Steel. Diplom thesis, 2010 more…
  • Unger, Simone: Stabilized Finite Elements for the Simulation of Viscoelastic Fluid Flows. Diplom thesis, 2010 more…

2009

  • Kirchner, Alana: Adaptive Mehrgitter-Trust-Region-Verfahren für Optimalsteuerungsprobleme elliptischer partieller Differentialgleichungen. Diplom thesis, 2009 more…

2019

  • 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 more… BibTeX

2018

  • Meidner, Dominik; Pfefferer, Johannes; Schürholz, Klemens; Vexler, Boris: hp-Finite Elements for Fractional Diffusion. SIAM Journal on Numerical Analysis 56 (4), 2018, 2345-2374 more… BibTeX Full text ( 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 more… BibTeX Full text ( DOI )

2016

  • 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 more… BibTeX Full text ( DOI )

2015

  • 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 more… BibTeX Full text ( DOI )

2014

  • 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 more… BibTeX Full text ( 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 more… BibTeX Full text ( DOI )

2013

  • 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 more… BibTeX Full text ( DOI )

2011

  • 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 more… BibTeX
  • 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 more… BibTeX Full text ( 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 more… BibTeX Full text ( DOI )
  • Meidner, Dominik; Vexler, Boris: Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems. In: International Series of Numerical Mathematics. Springer Basel, 2011 more… BibTeX Full text ( 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 more… BibTeX Full text ( DOI )

2009

  • 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 more… BibTeX Full text ( DOI )

2008

  • 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 more… BibTeX Full text ( 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 more… BibTeX Full text ( 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 more… BibTeX Full text ( DOI )

2007

  • 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 more… BibTeX Full text ( 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 more… BibTeX Full text ( 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 more… BibTeX Full text ( DOI )

Talks and Presentations

  • Workshop on the Occasion of Rolf Rannacher's (Official) Retirement. Heidelberg, Germany, October 12, 2016
  • Minisymposium “A Priori Finite Element Error Estimates in Optimal Control“, Conference on the Mathematics of Finite Elements and Applications (MAFELAP 2013). Uxbridge, United Kingdom, June 13, 2013
  • Workshop on Current and Future Developments of Gascoigne and RoDoBo. Obermaiselstein, Germany, March 14, 2013
  • Workshop on Optimal Control of Partial Differential Equations. Chemnitz, Germany, November 28, 2011
  • International Workshop on Control and Optimization of PDEs. Graz, Austria, October 14, 2011
  • Section “Optimization of Differential Equations”, 82nd annual meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2011). Graz, Austria, April 19, 2011
  • Minisymposium “Optimization with PDEs”, Joint Annual Meeting of DMV and GDM 2010. Munich, Germany, March 9, 2010
  • Special Session “Recent Advances in Adaptive Finite Elements”, 21th Congress on Differential Equations and Applications (CEDYA 2009). Ciudad Real, Spain, September 24, 2009
  • Minisymposium “Goal-Oriented Error Estimation and Adaptivity“, 13th Conference on the Mathematics of Finite Elements and Applications (MAFELAP 2009). Uxbridge, United Kingdom, June 11, 2009
  • Minisymposium “Finite Element Approximations in Optimal Control”, 13th Conference on the Mathematics of Finite Elements and Applications (MAFELAP 2009). Uxbridge, United Kingdom, June 10, 2009
  • Section “Optimization of Differential Equations”, 80th annual meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2009). Gdansk, Poland, February 10, 2009
  • International Conference on Finite Element Methods in Engineering and Science (FEMTEC 2009). Tahoe City, USA, January 8, 2009
  • Minisymposium “Numerical Methods for Optimization with PDE Constraints”, SIAM Conference on Control and Its Applications. San Francisco, USA, June 30, 2007
  • Minisymposium “Numerical Methods in PDE-Constrained Optimization Problems”, Joint Annual Meeting of DMV and GDM 2007. Berlin, Germany, March 27, 2007
  • Workshop on PDE Constrained Optimization. Tomar, Portugal, July 27, 2005

Talks at seminars

  • Research Seminar “Applied Mathematics”, Christian-Albrechts-Universität zu Kiel. Kiel, Germany, Mai 14, 2013
  • Research Seminar “Nonlinear Optimization and Inverse Problems”, Weierstrass Institute for Applied Analysis and Stochastics. Berlin, Germany, May 19, 2009
  • Research Seminar “Applied Mathematics”, Christian-Albrechts-Universität zu Kiel. Kiel, Germany, August 26, 2008
  • Research Seminar “Mathematical Optimization”, Technische Universität München. Munich, Germany, June 5, 2008
  • Research Seminar “Numerical Analysis”, University of Heidelberg. Heidelberg, Germany, February 13, 2008
  • Weekly seminar of the Internationales Graduiertenkolleg (International Research Training Group) 710, University of Heidelberg. Heidelberg, Germany, December 12, 2007
  • Weekly seminar of the Internationales Graduiertenkolleg (International Research Training Group) 710, University of Heidelberg. Heidelberg, Germany, December 6, 2006
  • Annual colloquium of the Internationales Graduiertenkolleg (International Research Training Group) 710, University of Heidelberg. Heidelberg, Germany, December 2, 2006
  • Research Seminar “Numerical Analysis”, University of Heidelberg. Heidelberg, Germany, February 21, 2006
  • Research Seminar “Numerical Analysis”, University of Heidelberg. Heidelberg, Germany, January 12 and 19, 2006
  • Annual colloquium of the Internationales Graduiertenkolleg (International Research Training Group) 710, University of Heidelberg. Heidelberg, Germany, December 2, 2005
  • Weekly seminar of the Internationales Graduiertenkolleg (International Research Training Group) 710, University of Heidelberg. Heidelberg, Germany, November 9, 2005
  • Meeting of the selection comitte of the Internationales Graduiertenkolleg (International Research Training Group) 710, University of Heidelberg. Heidelberg, Germany, December 22, 2004
  • Research Seminar “Numerical Analysis”, University of Heidelberg. Heidelberg, Germany, November 25, 2004
  • Research Seminar “Numerical Analysis”, University of Heidelberg. Heidelberg, Germany, May 19, 2004

TUM School of Computation, Information and Technology

  • Member of the working group  “Office Space”

Department of Mathematics

  • Resource manager for office space
  • Coordinator of the mathematical education at the Department of Electrical and Computer Engineering
  • Organizer of the preliminary course “Mathematics for Electrical Engineering”

Chair of Optimal Control

  • System Administrator
  • Occupational First Aider

Co-organizer of Conferences and Workshops

  • OCIP 2019: Workshop on Numerical Methods for Optimal Control and Inverse Problems
    Garching, Germany, March 11 - 13, 2019
  • OCIP 2017: Workshop on Numerical Methods for Optimal Control and Inverse Problems
    Garching, Germany, April 05 - 07, 2017
  • Workshop on Mathematicians in Industry 2017
    International Research Training Group IGDK 1754, Freising, Germany, January 26 - 27, 2017
  • Simulation and Optimization of Extreme Fluids
    Heidelberg, Germany, October 10 - 12, 2016
  • OCIP 2016: Workshop on Numerical Methods for Optimal Control and Inverse Problems
    Garching, Germany, March 14 - 16, 2016
  • OCIP 2015: Workshop on Numerical Methods for Optimal Control and Inverse Problems
    Garching, Germany, March 09 - 11, 2015
  • Simulation and Optimization of Extreme Fluids
    Heidelberg, Germany, November 10 - 14, 2014
  • Workshop on Mathematicians in Industry 2014
    International Research Training Group IGDK 1754, Unterföhring, Germany, October 23 - 24, 2014
  • OCIP 2014: Workshop on Numerical Methods for Optimal Control and Inverse Problems
    Garching, Germany, March 03 - 05, 2014
  • OCIP 2013: Workshop on Numerical Methods for Optimal Control and Inverse Problems
    Garching, Germany, March 11 - 13, 2013
  • OCIP 2012: Workshop on Numerical Methods for Optimal Control and Inverse Problems
    Garching, Germany, March 12 - 14, 2012
  • Towards Optimization of Fluid-Structure Interaction Problems
    16th International Conference on Finite Elements in Flow Problems, Munich, Germany, March 23 - 25, 2011
  • OCIP 2011: Workshop on Numerical Methods for Optimal Control and Inverse Problems
    Garching, Germany, March 14 - 16, 2011
  • MOSOCOP 08: Conference on Modeling, Simulation and Optimization of Complex Processes
    Heidelberg, Germany, July 21 - 25, 2008

Software Development

  • RoDoBo is a software package for solving optimization problems governed by stationary and nonstationary partial differential equations based on the finite element toolkit Gascoigne. This C++ library is developed for complex optimal control and parameter identification problems. It combines modern optimization techniques for large scale problems with established numerical methods for solving partial differential equations.
  • The simulation toolkit Gascoigne is developed for incompressible, compressible, nonreacting and reacting flows in two and three dimensions. It combines error control, adaptive mesh refinement and a fast solution algorithm based on multigrid methods. The discretization of the underlying partial differential equations is done by stabilized finite elements on locally refined meshes. This allows the treatment of complex geometries including curved boundaries.