Dr. Frank Eckhardt

Philipps-University
Faculty of Mathematics and Computer Science
Workgroup Numerics and Optimization
Hans-Meerwein-Strasse
Lahnberge
35032 Marburg, Germany

Area of research:

• Besov Regularity of Solutions for Navier-Stokes Equations

Publications and preprints:

• Besov Regularity for the Stationary Navier-Stokes Equation on Bounded Lipschitz Domains
  Applicable Analysis, DOI: 10.1080/00036811.2016.1272103
  [Journal], [Preprint]

• Besov Regularity for the Stokes and the Navier-Stokes System in Polyhedral Domains
  ZAMM, DOI: 10.1002/zamm.201300096
  [Journal], [Preprint]

• Besov-Regularity for the Stokes system in polyhedral cones
  Bericht Mathematik Nr. 2012-01 des Fachbereichs Mathematik und Informatik, Universität Marburg.

Courses:

• Angewandte Funktionalanalysis
• Adaptive Verfahren für Operatorgleichungen
• Numerisches Praktikum
• Regularitätstheorie elliptischer partieller Differentialgleichungen
• Numerik I
• Numerik IIa
• Numerik I
• Approximationstheorie
• Lineare Algebra II
• Lineare Algebra I

Supervised theses:

• Sobolev-Regularitätsabschätzungen für elliptische partielle Differentialgleichungen,
  Bachelor thesis by Christian Lange (2012),
  Philipps-University Marburg, Prof. Dr. Stephan Dahlke

• Konstruktion des Daubechies-Wavelets,
  Diploma thesis by Lydia Großhennig (2014),
  Philipps-University Marburg, Prof. Dr. Stephan Dahlke

• Zur Konvergenzanalyse des geometrischen Multi-Grid-Verfahrens,
  Bachelor thesis by Julia Michaely (2016),
  Philipps-University Marburg, Prof. Dr. Stephan Dahlke

• Regularitätsabschätzungen verfeinerbarer Funktionen,
  Bachelor thesis by Franziska Vaupel (2016),
  Philipps-University Marburg, Prof. Dr. Stephan Dahlke

Workshops/Conferences/Summer-Schools attended:

• 2014/11: Final Conference of SPP 1324, Marburg, Germany

• 2013/12: Annual Meeting of SPP 1324, Eisenach, Germany

• 2013/02: 23th Rhein-Ruhr-Workshop, Bestwig, Germany

• 2012/09: Summer School 'New Trends and Directions in Harmonic Analysis, Fractional Operator Theory, and Image Analysis' , Inzell, Germany

• 2012/02: 22th Rhein-Ruhr-Workshop , Bestwig, Germany

• 2011/08: A Computational Approach to Harmonic Analysis, Marburg, Germany

Organization of workshops and conferences:

• Final conference of DFG-Priority Program 1324
  Marburg, November 2014
  (with Stephan Dahlke)

• 22th Rhein-Main-Arbeitskreis
  Marburg, February 2014
  (with Stephan Dahlke)

• DFG-Priority Program 1324 5th annual meeting
  Eisenach, December 2013
  (with Stefan Kinzel and Stephan Dahlke)

Other activity:

• Assistance of production of Extraction of Quantifiable Information from Complex Systems.

• Assistance of coordination of DFG-Priority Program 1324:
  November 2012 - March 2015