TUM Logo Zentrum Logo
M1
Quadrat M1/Lehrstuhl > Personenverzeichnis > BorisVexler > BorisVexlerPublic  flag-en   05 Oct 2011

Boris Vexler
Vexler_foto.jpg
Kontakt
Arbeitsgruppe
Publikationen
Projekte
Lehre
Abschlussarbeiten
Lebenslauf
Software

Publikationen

 Wissenschaftliche Beiträge in Zeitschriften
  1. Roland Becker and Boris Vexler:
    „A posteriori error estimation for finite element discretization of parameter identification problems“
    Numerische Mathematik, Vol. 96(3), 435 - 459, 2004, doi Pfeil
  2. Roland Becker, Malte Braack and Boris Vexler:
    „Numerical parameter estimation for chemical models in multidimensional reactive flows“
    Combustion Theory and Modelling, Vol. 8(4), 661 - 682, 2004, doi Pfeil
  3. Roland Becker, Malte Braack and Boris Vexler:
    „Parameter identification for chemical models in combustion problems“
    Applied Numerical Mathematics, Vol. 54(3-4), 519 - 536, 2005 , doi Pfeil
  4. Rolf Rannacher and 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, Vol. 44(5), 1844 - 1863, 2005, doi Pfeil
  5. Roland Becker and Boris Vexler:
    „Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations“
    Journal of Computational Physics, Vol. 206(1), 95 - 110, 2005, doi Pfeil
  6. Arnd Rösch and Boris Vexler:
    „Optimal control of the Stokes equations: A priori error analysis for finite element discretization with postprocessing“
    SIAM Journal on Numerical Analysis, Vol. 44(5), 1903 - 1920, 2006, doi Pfeil
  7. Boris Vexler:
    „Finite element approximation of elliptic Dirichlet optimal control problems“
    Numerical Functional Analysis and Optimization, Vol. 28(7-8), 957 - 973, 2007, doi Pfeil
  8. Roland Griesse and Boris Vexler:
    „Numerical sensitivity analysis for the quantity of interest in PDE-constrained optimization“
    SIAM Journal on Scientific Computing, Vol. 29(1), 22 - 48, 2007, doi Pfeil
  9. Roland Becker, Dominik Meidner and Boris Vexler:
    „Efficient numerical solution of parabolic optimization problems by finite element methods“
    Optimization Methods and Software, Vol. 22(5), 813 - 833, 2007, doi Pfeil
  10. Dominik Meidner and Boris Vexler:
    „Adaptive space-time finite element methods for parabolic optimization problems“
    SIAM Journal on Control and Optimization, Vol. 46(1), 116 - 142, 2007, doi Pfeil
  11. Roland Becker and Boris Vexler:
    „Optimal control of the convection-diffusion equation using stabilized finite element methods“
    Numerische Mathematik, Vol. 106(3), 349 - 367 , 2007, doi Pfeil
  12. Karl Kunisch and Boris Vexler:
    „Optimal vortex reduction for instationary flows based on translation invariant cost functionals“
    SIAM Journal on Control and Optimization, Vol. 46(4), 1368 - 1397, 2007, doi Pfeil
  13. Karl Kunisch and Boris Vexler:
    „Constrained Dirichlet boundary control in L² for a class of evolution equations“
    SIAM Journal on Control and Optimization, Vol. 46(5), 1726 - 1753, 2007, doi Pfeil
  14. Samuel Amstutz, Takeo Takahashi and Boris Vexler:
    „Topological sensitivity analysis for time-dependent problems“
    ESAIM: Control, Optimisation and Calculus of Variations, Vol. 14(3), 427 - 455, 2008, doi Pfeil
  15. Michael Schmich and Boris Vexler:
    „Adaptivity with dynamic meshes for space-time finite element discretizations of parabolic equations“
    SIAM Journal on Scientific Computing, Vol. 30(1), 369 - 393, 2008, doi Pfeil
  16. Boris Vexler and Winnifried Wollner:
    „Adaptive finite elements for elliptic optimization problems with control constraints“
    SIAM Journal on Control and Optimization, Vol. 47(1), 509 - 534, 2008, doi Pfeil
  17. Dominik Meidner and 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, Vol. 47(3), 1150 - 1177, 2008, doi Pfeil
  18. Dominik Meidner and 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, Vol. 47(3), 1301 - 1329, 2008, doi Pfeil
  19. Anke Griesbaum, Barbara Kaltenbacher and Boris Vexler:
    „Efficient computation of the Tikhonov regularization parameter by goal oriented adaptive discretization“
    Inverse Problems, Vol. 24(2), 2008, doi Pfeil
  20. Olaf Benedix and Boris Vexler:
    „A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints“
    Computational Optimization and Applications, Vol. 44(1), 3 - 25, 2009, doi Pfeil
  21. Juan Carlos de los Reyes, Christian Meyer, and Boris Vexler:
    „Finite element error analysis for state-constrained optimal control of the Stokes equations“
    Control and Cybernetics, Vol. 37(2), 251 - 284, 2008
  22. Axel Kröner and Boris Vexler:
    „A priori error estimates for elliptic optimal control problems with bilinear state equation“
    Journal of Computational and Applied Mathematics, Vol. 230(2), 781 - 802, 2009, doi Pfeil
  23. Pedro Merino, Fredi Tröltzsch and 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, Vol. 44(1), 167 - 188, 2010, doi Pfeil
  24. Sandra May, Rolf Rannacher and Boris Vexler:
    „Error analysis for a finite element approximation of elliptic Dirichlet boundary control problems“
    submitted, 2009
  25. Axel Kröner, Karl Kunisch and Boris Vexler:
    „Semismooth Newton methods for optimal control of the wave equation with control constraints“
    SIAM Journal on Control and Optimization, Vol. 49(2), 830 - 858, 2011, doi Pfeil
  26. Thomas Apel, Olaf Benedix, Dieter Sirch and Boris Vexler:
    „A priori mesh grading for an elliptic problem with Dirac right-hand side“
    SIAM Journal on Numerical Analysis, Vol. 49(3), 992 - 1005, 2011, doi Pfeil
  27. Dominik Meidner, Rolf Rannacher and 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, Vol. 49(5), 1961-1997, 2011, doi Pfeil
  28. Ira Neitzel and Boris Vexler:
    „A priori error estimates for space-time finite element discretization of semilinear parabolic optimal control problems“
    Numerische Mathematik, Vol. 120(2), 345 - 386, 2011, doi Pfeil
  29. Dominik Meidner and Boris Vexler:
    „A priori error analysis of the Petrov Galerkin Crank Nicolson scheme for parabolic optimal control problems“
    SIAM Journal on Control and Optimization, Vol. 49(5), 2183-2211, 2011, doi Pfeil
  30. Alana Kirchner, Dominik Meidner and Boris Vexler:
    „Trust region methods with hierarchical finite element models for PDE-constrained optimization“
    Control and Cybernetics, Vol. 40(4), 2011
  31. Barbara Kaltenbacher, Alana Kirchner, and Boris Vexler:
    „Adaptive discretizations for the choice of a Tikhonov regularization parameter in nonlinear inverse problems“
    Inverse Problems, Vol. 27(12), 2011, doi Pfeil
  32. Thomas Richter, Andreas Springer, and Boris Vexler:
    „Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems“
    submitted, 2011
  33. Bernhard Kiniger and Boris Vexler:
    „A priori error estimates for finite element discretizations of a shape optimization problem“
    submitted, 2011

 Wissenschaftliche Beiträge in Sammelbänden
  1. Roland Becker and Boris Vexler:
    „Mesh Adaptation for Parameter Identification Problems“
    in Proc. of the 8th Conference on Control of Distributed Parameter Systems Graz, July 15-21, 2001, Intern. Series of Numerical Mathematics, Vol. 143, pp. 41-56, 2002
  2. Boris Vexler:
    „Adaptive Finite Elements for Output-Oriented Model Calibration“
    in Proc. of International Conference on High Performance Scientific Computing, Hanoi, March 10-14, pp. 523-538, Springer Berlin Heidelberg, 2005
  3. Roland Becker and Boris Vexler:
    „A Posteriori Error Estimates for Parameter Identification“
    in Proc. of ENUMATH 2003, Prag, August 18-22, pp. 131-140, Springer Berlin Heidelberg, 2004
  4. Boris Vexler:
    „Mesh Adaptation for Parameter Calibration in Fluid Dynamics“
    in Proc. of ECCOMAS 2004, Jyvskyl, July 24-28, 2004
  5. Roland Becker, Malte Braack, Dominik Meidner, Rolf Rannacher, and Boris Vexler:
    „Adaptive Finite Element Methods for PDE-Constrained Optimal Control Problems“
    in Reactive Flows, Diffusion and Transport, R. Rannacher et. al. (eds.), Springer Verlag, Berlin, 2006
  6. Karl Kunisch and Boris Vexler:
    „On the choice of the cost functional for optimal vortex reduction for instationary flows“
    in Proc. of Conference on Active Flow Control, Berlin 2006, Springer Verlag 2007
  7. Dominik Meidner and Boris Vexler:
    „A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems“
    in Proc. of ENUMATH 2007, Graz, 2007
  8. Sandra May, Rolf Rannacher and Boris Vexler:
    „A priori error analysis for the finite element approximation of elliptic Dirichlet boundary control problems“
    in Proc. of ENUMATH 2007, Graz, 2007

 Habilitation, Dissertation und Diplomarbeit
  1. Boris Vexler:
    „A-posteriori Fehlerschaetzung bei Finite-Elemente-Approximation Nichtlinearer Elliptischer Differentialgleichungen“
    Diploma thesis, University of Heidelberg, 2000 (in german)
  2. Boris Vexler:
    „Adaptive Finite Element Methods for Parameter Identification Problems“
    PhD thesis, University of Heidelberg, 2004
  3. Boris Vexler:
    „Effictient Numerical Soltion of Optimization Problems Governed by Partial Differential Equations“
    Habilitation thesis, University of Graz, 2008

Impressum  |  Disclaimer und Rechtshinweise Valid XHTML 1.0 Transitional