Dr. Matthias Kirchhart

Contact

Mathematics (CCES)
RWTH Aachen University
Schinkelstraße 2
52062 Aachen
Germany

Room: 325 (Rogowski building, 3rd floor)
Phone: +49 (0)241 80-98662
Email: kirchhart@mathcces.rwth-aachen.de
OpenPGP Fingerprint: BC55 D501 A8DC 2D9B D2C9 95F3 00D1 76A4 818C 2BCE

Sprechstunde: Dienstags, 10:30 – 12:00, nicht am 12. November.
Consultation hour: Tuesdays, 10:30 – 12:00 Not on November 12th.

Education

08/2007 – 09/2011 Bachelor of Science in Computational Engineering Science (CES),
RWTH Aachen University, Aachen, Germany.
09/2011 – 01/2014 Master of Science in Computational Engineering Science (CES),
RWTH Aachen University, Aachen, Germany.
09/2014 – 09/2017 Ph.D. in Engineering, Graduate School of Science and Technology,
Keio University, Tokyo, Japan.

Research Interests

  • Vortex Methods and Particle Methods in general
  • Boundary Element Methods (BEM)
  • Fast Multipole Methods (FMM)

Here you can see highly accurate vortex method when applied to the so-called ABC flow, as presented in “A Particle Method without Remesing”. Click for an animation!

Publications

Matthias Kirchhart and Erick Schulz. ‘Div-Curl Problems and Stream Functions in 3D Lipschitz Domains’. Submitted. arXiv e-Print 2005.11764 (May 2020).

Matthias Kirchhart and Christian Rieger. ‘A Particle Method without Remeshing’. Accepted by SIAM Journal of Scientific Computing. arXiv e-Print 1909.07449 (Oct. 2019).

Matthias Kirchhart. ‘On Particles and Splines in Bounded Domains’. Accepted by ESIAM: M2AN. arXiv e-Print 1901.09595 (Jan. 2019).

Matthias Kirchhart and Shinnosuke Obi. ‘A Smooth Partition of Unity Finite Element Method for Vortex Particle Regularization’. In: SIAM Journal on Scientific Computing 39.5 (2017), pp. A2345–A2364. issn: 1064–8275. doi: 10.1137/17M1116258.

Matthias Kirchhart and Shinnosuke Obi. ‘A Splitting-free Vorticity Redistribution Method’. In: Journal of Computational Physics 330 (Feb. 2017), pp. 282–295. issn:  0021–9991. doi: 10.1016/j.jcp.2016.11.014.

Matthias Kirchhart, Sven Groß, and Arnold Reusken. ‘Analysis of an XFEM Discretization for Stokes Interface Problems’. In: SIAM Journal on Scientific Computing 38.2 (2016), pp. A1019–A1043. issn: 1064–8275. doi: 10.1137/15M1011779.


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Last modified:: 2020/11/26 12:59