Aleksey Sikstel


Technische Universität Darmstadt



Research Area

Conservation laws, multi-resolution analysis


  • 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/

  • 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