Aleksey Sikstel

Postdoc

Research interests: adaptivity, discontinuous Galerkin methods, a-posteriori estimators, coupled systems of hyperbolic conservation laws, stochastic conservation laws

Contact

a.sikstel@uni-koeln.de

University of Cologne, Gyrhofstraße 8a, D-50931 Cologne, Office: 1.103

Preprints

• J. Giesselmann, A. Sikstel - A-posteriori error estimates for systems of hyperbolic conservation laws (2023).
• S. Gerster, A. Sikstel, G. Visconti - Haar-Type Stochastic Galerkin Formulations for Hyperbolic Systems with Lipschitz Continuous Flux Function (2022).
• M. Bambach, S. Gerster, M. Herty, A. Sikstel - Description of Random Level Sets by Polynomial Chaos Expansions (2021).

Journal Publications

• S. Gerster, F. Nagel, A. Sikstel, G. Visconti - Numerical boundary control for semilinear hyperbolic systems, Mathematical Control and Related Fields, (2022).
• 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, Adv. Water Resour., 138 (2019), pp. 103559.
• S. Gerster, M. Herty, A. Sikstel - Hyperbolic Stochastic Galerkin Formulation For The \p\-System, J. Comput. Phys., 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.

Talks

• CSE23, Amsterdam, 2023, Adaptive approximate state Riemann solver for coupled hyperbolic PDE
• Hyp2022, Málaga, 2022, A posteriori error estimates for 1D-systems of hyperbolic conservation laws
• SHARK-FV, Porto, 2022, A posteriori error estimates for 1D-systems of hyperbolic conservation laws
• BMBF Project Workshop, Frauenhofer ITWM Kaiserslautern, 2019, Coupling of compressible Euler equations
• Sino-German Workshop on Advanced Numerical Methods for Hyperbolic Balance Laws, IAPCM Beijing, 2019, Coupling of compressible Euler equations
• ECCM–ECFD 2018 6th European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) 7th European Conference on Computational Fluid Dynamics, Glasgow, 2018, Fluid-structure coupling of a linear elastic model with a compressible flow model with multilevel timestepping
• IFIP TC 7 Conference on System Modelling and Optimization, Universität Duisburg-Essen, 2018, A comparison of different models coupled by gas turbines for power generation

Links

I am maintaining the Runge-Kutta Discontinuous Galerkin solver Multiwave.