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Dr. Dennis Merkert

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Dr. Dennis Merkert

Technische Universität Kaiserslautern
Fachbereich Mathematik
Postfach 3049
67653 Kaiserslautern

Office: 31-357
Phone: +49 (0)631 205 5316
Fax: +49 (0)631 205 5308
Email: dmerkert[at]mathematik.uni-kl.de
Dr. Dennis Merkert

Office hours

By arrangement per e-mail. Please mention the topic you have questions about, so I can prepare.

Teaching

Summer term 2018 Lecture "Einführung in wissenschaftliches Programmieren" (Dr. Martin Bracke)
Winter term 2017/2018 Lecture "Einführung in wissenschaftliches Programmieren" (Dr. Martin Bracke)
Summer term 2017 Lecture "Einführung in wissenschaftliches Programmieren" (Dr. Martin Bracke)
Winter term 2016/2017 Lecture "Höhere Mathematik 1" (Prof. Dr. Bernd Simeon)
Summer term 2016 Lecture "Numerical Methods for Partial Differential Equations I" (Prof. Dr. Bernd Simeon)
Winter term 2015/2016 Lecture "Numerical Methods for Ordinary Differential Equations" (Prof. Dr. Bernd Simeon)
Summer term 2015 Lecture "Numerical Methods for Partial Differential Equations I" (Prof. Dr. Bernd Simeon)
Winter term 2014/2015 Lecture "Höhere Mathematik 3" (Dr. Wolfgang Bock and Dr. Raul Borsche)
Summer term 2014 Lecture "Höhere Mathematik 2" (Prof. Dr. Bernd Simeon)
Winter term 2013/2014 Lecture "Höhere Mathematik 1" (Prof. Dr .Bernd Simeon)

Supervised seminars and theses

June 2017 Bachelor thesis Henning Huth: "Congruence classes of anisotropic patterns on the torus and application in the FFT-based homogenization" (with Prof. Dr. Bernd Simeon, Prof. Dr. Gariele Steidl, and Dr. Ronny Bergmann)
January 2017 Bachelor thesis Benedikt Schmitt: "Anisotropic structures and sampling patterns for the FFT-based numerical homogenization" (with Prof. Dr. Bernd Simeon, Prof. Dr. Gariele Steidl, and Dr. Ronny Bergmann)
August 2016 Fachpraktikum "Lösung der statischen Wärmeleitungsgleichung in der Homogenisierung auf anisotropen Gittern" (with Dr. Ronny Bergmann)
May 2016 Master thesis Felix Dietrich: "FFT-based homogenization of higher order for periodic microstructures" (with Prof. Bernd Simeon)
October 2015 Reading course "FFT-based numerical simulation of microstructures on voxel geometries" (with Prof. Bernd Simeon)
Februar 2015 Reading course (with Prof. Bernd Simeon)

Other activities

Board member of TU Nachwuchsring:

  • Deputy speaker
  • Member in the workshop committee
  • Speaker of the PR committee

Conferences

Sampling Theory and Applications (SampTA)

Tallinn, July 3 - 7, 2017

 

Mecklenburg Workshop Approximation Methods and Data Analysis

Hasenwinkel, September 5 - 9, 2016

 

European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2016)

Hersonissos (Crete), June 5 - 10, 2016

 

Traitment d'image mathématique / Mathematische Bildverarbeitung

Fontainebleau, October 7 - 8, 2015

 

European Numerical Mathematics and Advanced Applications (ENUMATH 2015)

Ankara, September 14 - 18, 2015

 

26th Biennial Numerical Analysis Conference (NACONF 2015)

Glasgow, June 23 - 26, 2015

 

3rd International Workshop on Computational Engineering (CE 2014)

Stuttgart, October 06 - 10, 2014

 

8. Jahrestagung der Gesellschaft für angewandte Mathematik und Mechanik (GAMM 2014)

Erlangen, March 10 - 14, 2014

Research Stays

Numerical Analysis Group (Department for Applied Mathematical Analysis) at TU Delft with Prof. dr. ir. Kees Vuik

February 15  - March 13, 2016

Invited Talks

Seminar Numerische Mathematik und Mechanik at Universität zu Köln with Prof. Dr. Axel Klawonn

June 30, 2017, Cologne, Germany


Petroleum Engineering Group (Department of Geoscience & Engineering) at TU Delft with Dr. Hadi Hajibeygi

March 11, 2016, Delft, The Netherlands

 

Numerical Analysis Group (Department of Applied Mathematical Analysis) at TU Delft with Prof. dr. ir. Kees Vuik

February 24, 2016, Delft, The Netherlands

 

 

Master Thesis

Voxel-based fast solution of the Lippmann-Schwinger equation with smooth material interfaces, TU Kaiserslautern, 2013 [pdf]

Publications

  • Ronny Bergmann, Dennis Merkert (2018).
    A Framework for FFT-based Homogenization on Anisotropic Lattices.
    Computers and Mathematics with Applications.
    [doi] [www] [BibTex]

  • Ronny Bergmann, Dennis Merkert (2018).
    FFT-based homogenization on periodic anisotropic translation invariant spaces.
    Applied and Computational Harmonic Analysis.
    [doi] [www] [BibTex]

  • Matti Schneider, Dennis Merkert, Matthias Kabel (2016).
    FFT-based homogenization for microstructures discretized by linear hexahedral elements.
    International Journal for Numerical Methods in Engineering.
    [doi] [www] [BibTex]

  • André Liebscher, Heiko Andrä, Matthias Kabel, Dennis Merkert, Claudia Redenbach (2015).
    Modelling Open Cell Foam Structures based on 3D Image Data.
    Proceedings of the 20th International Conference on Composite Materials. Copenhagen
    [www] [BibTex]

  • Dennis Merkert, Heiko Andrä, Matthias Kabel, Matti Schneider, Bernd Simeon (2015).
    An Efficient Algorithm to Include Sub-Voxel Data in FFT-Based Homogenization for Heat Conductivity.
    Recent Trends in Computational Engineering-CE2014. 267-279.
    [doi] [www] [BibTex]
  • Matthias Kabel, Dennis Merkert, Matti Schneider September (2015).
    Use of composite voxels in FFT-based homogenization.
    Computer Methods in Applied Mechanics and Engineering. 294, 168-188.
    [doi] [www] [BibTex]

  • Dennis Merkert, Heiko Andrä, Matthias Kabel, Matti Schneider, Bernd Simeon (2014).
    Voxel-based fast solution of the Lippmann-Schwinger equation with smooth material interfaces.
    Proceedings in Applied Mathematics and Mechanics. 14, (1), 579-580.
    [doi] [www] [BibTex]