Aleksey Sikstel

Interim Professor

Research interests

Adaptivity, a-posteriori error estimators, random conservation laws, non-conservative hyperbolic PDE, shock fitting, coupled systems of hyperbolic conservation laws

Contact

sikstel@acom.rwth-aachen.de

RWTH Aachen University, Pontdriesch 10-16, D-52062 Aachen, Office: 0.70

Preprints

• M. Hantke, S. Müller, A. Sikstel, F. Thein - A survey on isothermal and isentropic Baer-Nunziato-type models (2024).

Journal Publications

• S. Gerster, A. Sikstel, G. Visconti - Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function Numerische Mathematik, (2025), pp. to appear.
• J. Giesselmann, A. Sikstel - A-posteriori error estimates for systems of hyperbolic conservation laws via computing negative norms of local residuals IMA Journal of Numerical Analysis, (2025), pp. drae111.
• A. Rueda-Ramirez, A. Sikstel, G. Gassner - An entropy-stable discontinuous Galerkin discretization of the ideal multi-ion magnetohydrodynamics system Journal of Computational Physics, 523 (2025), pp. 113655.
• Z. Du, A. Sikstel - Coupled generalized Riemann problems for the Euler equations Journal of Computational and Applied Mathematics, (2025), pp. 116907.
• M. Bambach, S. Gerster, M. Herty, A. Sikstel - Description of random level sets by polynomial chaos expansions Communications in Mathematical Sciences, 22 (2024), pp. 95--112.
• S. Gerster, F. Nagel, A. Sikstel, G. Visconti - Numerical boundary control for semilinear hyperbolic systems Mathematical Control and Related Fields, 13 (2023), pp. 1344--1361.
• N. Gerhard, S. Müller, A. Sikstel - A wavelet-free approach for multiresolution-based grid adaptation for conservation laws Communications on Applied Mathematics and Computation, 4 (2021), pp. 1--35.
• D. Caviedes-Voullième, N. Gerhard, A. Sikstel, S. Müller - Multiwavelet-based mesh adaptivity with discontinuous Galerkin schemes: exploring 2D shallow water problems Advances in Water Resources, 138 (2019), pp. 103559.
• S. Gerster, M. Herty, A. Sikstel - Hyperbolic stochastic Galerkin formulation for the p-system Journal of Computational Physics, 395 (2019), pp. 186--204.
• M. Herty, S. Müller, A. Sikstel - Coupling of compressible Euler equations Vietnam Journal of Mathematics, 47 (2019), pp. 769--792.