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TU Dortmund
Faculty of Mathematics — Chair III of Applied Mathematics
Vogelpothsweg 87
44227 Dortmund
Germany
Phone: +49-(0)231-755-3076
Fax: +49-(0)231-755-5933
E-mail:

Dr. Matthias Möller

Technische Universität Dortmund
Vogelpothsweg 87
44227 Dortmund
Dr. Matthias Möller
Room-
Telephone
Telefax(0231) 755-5933
E-mail
www:Private Homepage

Curriculum Vitae

since 09/2013 Assistant Professor at ``Numerical Analysis Group``, TU Delft
11/2012-08/2013 Interim W2-professorship ``Numerical continuum mechanics``
08/2009-11/2012 PostDoc researcher (akademischer Rat a.Z.), TU Dortmund
08/2003-07/2009 Research Assistant, TU Dortmund
02/2001-07/2003 Undergraduate research assistant, TU Dortmund
08/2003-12/2008 Doctoral study at TU Dortmund, Degree: Dr. rer. nat.
10/1999-07/2003 Diploma study at TU Dortmund, Degree: Dipl.-Math.
08/1998-08/1999 Community service
08/1989-06/1998 Städtisches Gymnasium Herten, Degree: Abitur

Tasks

  • Teaching in Applied Mathematics and Numerics (lectures, exercises, student project work, seminars)
  • Advisor for seminar works and bachelor theses
  • Development of FEM software for compressible (magneto-)hydrodynamic flows
  • Subproject leader in the SFB 708

Research Interests

  • Finite elements for computational fluid dynamics
  • Implicit high-resolution schemes for convection dominated transport problems
  • Discrete Newton methods for flux limiting schemes
  • Mesh adaptation for stationary and time-dependent flows
  • Goal-oriented error estimation for transport problems

Papers

Authors Title / Event / Year Download

Journal articles
Hosseini, B.; Möller, M.; Turek, S. Isogeometric Analysis of the Navier-Stokes equations with Taylor-Hood B-spline elements, Applied Mathematics and Computation, 267, 264-281, doi 10.1016/j.amc.2015.03.104, 2014 [BibTeX]
Möller, M. Algebraic flux correction for nonconforming finite element discretizations of scalar transport problems, Computing, accepted, 2012 [BibTeX]
Möller, M.; Kuzmin, D.; Kourounis, D. Implicit FEM-FCT algorithms and discrete Newton methods for transient convection problems, Int. J. Num. Meth. Fluids, 57, 7, 761-792, 2008 [Abstract] [BibTeX]
Möller, M. Efficient solution techniques for implicit finite element schemes with flux limiters, Int. J. Num. Meth. Fluids, 55, 7, 617-635, 2007 [Abstract] [BibTeX]
Möller, M.; Kuzmin, D. Adaptive mesh refinement for high-resolution finite element schemes, Int. J. Num. Meth. Fluids, Volume+52%2C+Number+5, 545-569, ISSN 0271-2091, 2006 [Abstract] [BibTeX] [PDF]
Möller, M.; Kuzmin, D.; Turek, S. Implicit finite element discretizations based on the flux-corrected transport algorithm, Int. J. Num. Meth. Fluids, 47, 10--11, 1197-1203, 2005 [Abstract] [BibTeX]
Kuzmin, D.; Möller, M.; Turek, S. High-resolution FEM-FCT schemes for multidimensional conservation laws , Comput. Meth. Appl. Mech. Eng., 193, 45--47, 4915-4946, 2004 [Abstract] [BibTeX] [PDF]
Kuzmin, D.; Möller, M.; Turek, S. Multidimensional FEM-FCT schemes for arbitrary time-stepping, Int. J. Num. Meth. Fluids, 42, 3, 265-295, 2003 [Abstract] [BibTeX] [PDF]

Thesis
Möller, M. Adaptive high-resolution finite element schemes, 2008 [BibTeX]

Diploma thesis
Möller, M. Hochauflösende FEM-FCT-Verfahren zur Diskretisierung von konvektionsdominanten Transportproblemen mit Anwendung auf die kompressiblen Eulergleichungen, 2003 [BibTeX]

Conference proceedings
Möller, M. On the design of non-conforming high-resolution finite element schemes, Eberhardsteiner, J., Proceedins of the European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), Wiley-VCH, accepted, 2012 [BibTeX]
Kuzmin, D.; Möller, M. On the use of slope limiters for the design of recovery based error indicators, Wesseling, P., Onate, E., Periaux, J., 313, Books of Abstracts European Conference on Computational Fluid Dynamics, nn, Eccomas CFD 2006, 2006 [BibTeX]
Möller, M.; Kuzmin, D. On the use of slope limiters for the design of recovery based error indicators, 233-240, Numerical Mathematics and Advanced Applications, Springer, Enumath 2006, 2006 [BibTeX]
Kuzmin, D.; Möller, M.; Turek, S. Implicit flux-corrected transport algorithm for finite element simulation of the compressible Euler equations, Glowinski, R., Krizek, M., Neittaanmäki, P., 325-354, Conjugate Gradient Algorithms and Finite Element Methods, Springer, Jyväskylä, Finland, 2002 (ISBN-Nr. 3-540-21319-8), 2004 [Abstract] [BibTeX] [PDF]
Möller, M.; Kuzmin, D.; Turek, S. Implicit FEM-FCT algorithm for compressible flows, Feistauer, M., Dolejsi, V., Knobloch, P., Najzar, K., Proceedings of ENUMATH 2003, 641-650, Numerical Mathematics and Advanced Applications, Springer, ISBN-Nr. 3-540-21460-7, 2003 [Abstract] [BibTeX] [PDF]

Preprints
Hosseini, B.; Möller, M.; Turek, S. Isogeometric Analysis of the Navier-Stokes equations with Taylor-Hood B-spline elements, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 505, Fakultät für Mathematik, TU Dortmund, 505, 2014 [BibTeX] [PDF]
Turek, S.; Möller, M.; Razzaq, M.; Rivkind, L. Efficient Simulation and Optimization of Rotationally Symmetric, Converging-Diverging de Laval Nozzles for Twin Wire Arc Spraying, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 481, Fakultät für Mathematik, TU Dortmund, 481, 2013 [BibTeX] [PDF]
Möller, M. Algebraic flux correction for nonconforming finite element discretizations of scalar transport problems, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 464, Fakultät für Mathematik, TU Dortmund, 464, 2012 [BibTeX] [PDF]
Möller, M. On the design of non-conforming high-resolution finite element schemes, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 455, Fakultät für Mathematik, TU Dortmund, 455, 2012 [Abstract] [BibTeX] [PDF]
Kuzmin, D.; Möller, M.; Gurris, M. Algebraic Flux Correction II Compressible Flow Problems, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 439, Fakultät für Mathematik, TU Dortmund, 439, 2011 [Abstract] [BibTeX] [PDF]
Möller, M.; Kuzmin, D.; Shadid, J. High-resolution finite element schemes for an idealized Z-pinch implosion model, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 410, Fakultät für Mathematik, TU Dortmund, 410, 2010 [Abstract] [BibTeX] [PDF]
Kuzmin, D.; Möller, M.; Shadid, J.; Shashkov, M. Failsafe flux limiting and constrained data projections for systems of conservation laws, J. Comput. Phys., submitted, 2010 [BibTeX]
Kuzmin, D.; Möller, M. Goal-oriented mesh adaptation for flux-limited approximations to steady hyperbolic problems, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 394, Fakultät für Mathematik, TU Dortmund, 394, 2009 [Abstract] [BibTeX] [PDF]
Möller, M.; Kuzmin, D.; Kourounis, D. Implicit FEM-FCT algorithms and discrete Newton methods for transient convection problems, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 340, Fakultät für Mathematik, TU Dortmund, 340, 2007 [Abstract] [BibTeX] [PDF]
Möller, M. Efficient solution techniques for implicit finite element schemes with flux limiters, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 328, Fakultät für Mathematik, TU Dortmund, 328, 2006 [Abstract] [BibTeX]
Möller, M.; Kuzmin, D. Adaptive mesh refinement for high-resolution finite element schemes, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 297, Fakultät für Mathematik, TU Dortmund, 297, 2005 [Abstract] [BibTeX] [PDF]
Möller, M.; Kuzmin, D.; Turek, S. Implicit finite element discretizations based on the flux corrected transport algorithm, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 285, Fakultät für Mathematik, TU Dortmund, 285, 2005 [Abstract] [BibTeX] [PDF]
Möller, M.; Kuzmin, D.; Turek, S. Implicit FEM-FCT algorithm for compressible flows, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 276, Fakultät für Mathematik, TU Dortmund, 276, 2004 [Abstract] [BibTeX] [PDF]
Kuzmin, D.; Möller, M. Algebraic Flux Correction I. Scalar Conservation Laws, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 249, Fakultät für Mathematik, TU Dortmund, 249, 2004 [Abstract] [BibTeX] [PDF]
Kuzmin, D.; Möller, M. Algebraic Flux Correction II. Compressible Euler Equations, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 250, Fakultät für Mathematik, TU Dortmund, 250, 2004 [Abstract] [BibTeX] [PDF]
Kuzmin, D.; Möller, M.; Turek, S. High resolution FEM-FCT schemes for multidimenstional conservation laws, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 231, Fakultät für Mathematik, TU Dortmund, 231, 2003 [Abstract] [BibTeX] [PDF]
Möller, M.; Kuzmin, D.; Turek, S. Implicit flux-corrected transport algorithm for finite element simulation of the compressible Euler equations, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 221, Fakultät für Mathematik, TU Dortmund, 221, 2002 [Abstract] [BibTeX] [PDF]
Kuzmin, D.; Möller, M.; Turek, S. Multidimensional FEM-FCT schemes for arbitrary time-stepping, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 215, Fakultät für Mathematik, TU Dortmund, 215, 2002 [Abstract] [BibTeX] [PDF]

Talks

Authors Title / Event / Year Download
Möller, M. On the Design of Nonconforming High-Resolution Finite Element Schemes for Transport Problems, Modeling and Simulation of Transport Phenomena Moselle Valley, Germany, 2012, July 30 - August 1 [BibTeX] [PDF]
Möller, M. A Comparative Study of Conforming and Nonconforming High-Resolution Finite Element Schemes, European Seminar on Computing Pilsen, Czech Republic , 2012 [BibTeX] [PDF]
Möller, M. Accelerating an Edge-Based CFD Solver Using Many-Core Co-Processors, PDESoft 2012, Juni 2012 [BibTeX] [PDF]
Möller, M.; Kuzmin, D. A simple goal-oriented error estimator for flux-limited Galerkin schemes, Hirschegg Workshop on Conservation Laws 2009, September 2009, http://www.mathematik.uni-dortmund.de/~mmoelle1/download/zpinch.avi [BibTeX] [PDF]
Kuzmin, D.; Möller, M. Goal-oriented adaptivity for flux-limited Galerkin approximations to convection-dominated problems, Enumath 2009, Uppsala, Juli 2009 [Abstract] [BibTeX] [PDF]
Möller, M. h-Adaptive FEM for Transport Problems, 2nd Conference on Finit Element Methods in Engineering and Science (FEMTEC 2009), Granlibakken Conference Center, Lake Tahoe, USA, Januar 2009, Zusätzliche Links unter: http://www.mathematik.uni-dortmund.de/~mmoelle1/download/tux_color.avi; http://www.mathematik.uni-dortmund.de/~mmoelle1/download/tux_wireframe.avi; http://www.mathematik.uni-dortmund.de/~mmoelle1/download/doublemach_density.avi [Abstract] [BibTeX] [PDF]
Möller, M. Hierarchical Grid Adaptation for Hybrid Meshes, ECCOMAS 2008, Juli 2008, Venice, Italy, June 30- July 4, 2008. [BibTeX] [PDF]
Möller, M. On an efficient solution strategy of Newton type for implicit finite element schemes based on algebraic flux correction, ICFD 2007 , März 2007, 26-29. März 2007 [BibTeX] [PDF]
Möller, M. Algebraic flux correction and its application to convection-dominated flow, 8th Hirschegg Workshop on Conservation Laws (ANumE), September 2007, Hirschegg, Austria, September 9-15 [BibTeX] [PDF]
Möller, M.; Kuzmin, D. On the use of slope limiters for the design of recovery based error indicators, Eccomas CFD 2006, September 2006, In P.Wesseling, E.Onate, and J.Periaux, editors, Proc.ECCOMAS CFD 2006, Egmond aan Zee, The Netherlands, 2006. TU Delft, page 313 [Abstract] [BibTeX] [PDF]
Kuzmin, D.; Möller, M. On the use of limiting techniques for adaptive mesh refinement, Enumath 2005, 18. - 22. July 2005, Juli 2005 [Abstract] [BibTeX] [PDF]
Möller, M.; Kuzmin, D. Adaptive grid refinement for high-resolution finite element schemes based on algebraic flux correction, FEF05 - Thirteenth Conference on Finite Elements for Flow Problems, April 2005, 4. - 6. April 2005 [Abstract] [BibTeX] [PDF]
Möller, M.; Kuzmin, D.; Turek, S. Implicit finite element discretizations based on the flux-corrected transport algorithm, ICFD Conference on Numerical Methods for Fluid Dynamics , März 2004, 29.3.-1.4. 2004, University of Oxford, England [BibTeX] [PDF]
Möller, M.; Kuzmin, D.; Turek, S. An iterative FEM-FCT algorithm for the compressible Euler equations, European Congress on Computational Methods in Applied Sciences and Engineering, Juli 2004, 24.-28.7.2004, University of Jyväskylä, Finnland. [BibTeX] [PDF]
Möller, M.; Kuzmin, D. An implicit FEM-FCT algorithm for scalar transport problems and the compressible Euler equations, Workshop `High-resolution schemes for convection-dominated flows: 30 years of FCT` , September 2003, September 29-30, 2003, University of Dortmund [Abstract] [BibTeX] [PDF]
Möller, M.; Kuzmin, D. Implicit FEM-FCT Algorithm for the Compressible Euler Equations, Novel Techniques for the Solution of the Compressible Euler and Navier-Stokes Equations for Aircraft Design, Dezember 2003, DLR/DGLR, Institute of Aerodynamics and Flow Technology, Braunschweig, Germany, December 3-4, 2003. [BibTeX] [PDF]
Möller, M.; Kuzmin, D.; Turek, S. Implicit FEM-FCT algorithm for compressible flows, ENUMATH 2003, Aug 2003, Charles University, Prague, Czech Republic, August 18-22, 2003. [Abstract] [BibTeX] [PDF]
Möller, M.; Kuzmin, D.; Turek, S. Implicit FEM-FCT algorithm for compressible flows, 13th Conference The Mathematics of Finite Elements and Applications (MAFELAP), Juni 2003, Brunel University, Uxbridge, England, June 21-24, 2003. [Abstract] [BibTeX] [PDF]
Kuzmin, D.; Möller, M.; Turek, S. Implicit flux-corrected transport algorithm for finite element simulation of the compressible Euler equations, Finite Element Methods: Fifty Years of Conjugate Gradients, Juni 2002, Jyväskylä, Finland, June 11-12, 2002. [Abstract] [BibTeX] [PDF]
Möller, M.; Kuzmin, D.; Turek, S. Implicit FEM-FCT algorithm for multidimensional conservation laws., Computational Methods for Multidimensional Reactive Flows, Dezember 2002, Ruprecht-Karls University, Heidelberg, Germany, December 2-4 2002 [Abstract] [BibTeX] [PDF]