Address

Technische Universität Darmstadt

Email

sikstel AT mathematik DOT tu-darmstadt DOT de

Web

www.mathematik.tu-darmstadt.de

Research Area

Conservation laws, multi-resolution analysis

Publications

• A wavelet-free approach for multiresolution-based grid adaptation for conservations laws
  N. Gerhard, Siegfried Müller, and Aleksey Sikstel
  Communications on Applied Mathematics and Computation, 2021
  doi: 10.1007/s42967-020-00101-6

• Multiwavelet-based Mesh Adaptivity with Discontinuous Galerkin Schemes: Exploring 2D Shallow Water Problems
  D. Caviedes-Voullieme, N. Gerhard, A. Sikstel, and Siegfried Müller
  Advances in Water Resources, 103559, 2020
  doi: 10.1016/j.advwatres.2020.103559

• Coupling of Two Hyperbolic Systems by Solving Half-Riemann Problems
  M. Herty, Siegfried Müller, and Aleksey Sikstel
  In: Göttlich S., Herty M., Milde A. (eds) Mathematical Modeling, Simulation and Optimization for Power Engineering and Management. Mathematics in Industry, vol 34. Springer, Cham.

• Hyperbolic stochastic Galerkin formulation for the $p$-system
  S. Gerster, M. Herty, and A. Sikstel
  J. Comput. Phys. 395 (2019), 186–204
  doi: 10.1016/j.jcp.2019.05.049

• Coupling of Compressible Euler Equations
  M. Herty, S. Müller, and A. Sikstel
  Vietnam J. Math. 47 (2019), 769–792
  doi: 10.1007/s10013-019-00353-7

• Fluid-structure coupling of a linear elastic model with a compressible flow model with multilevel timestepping
  M. Herty, S. Müller, and A. Sikstel
  6th Eur. Conf. on Computational Mechanics
  7th Eur. Conf. on Computational Fluid Mechanics
  Glasgow, 11-15 June 2018, p. 3049-3059,
  ISBN 978-84-947311-6-7

• Comparison of Shallow Water Models for Rapid Channel Flows
  S. Elgeti, M. Frings, A. Küsters, S. Noelle, A. Sikstel
  Theory, Numerics and Applications of Hyperbolic Problems II, Springer Proc. Math. Stat., vol 237, Springer, Cham, 2018, pp. 605-616
  doi: 10.1007/978-3-319-91548-7_45