Zobrazeno 1 - 10
of 68
pro vyhledávání: '"P. Minakowski"'
Publikováno v:
Geoscientific Model Development, Vol 16, Pp 3907-3926 (2023)
The ability of numerical sea ice models to reproduce localized deformation features associated with fracture processes is key for an accurate representation of the ice dynamics and of dynamically coupled physical processes in the Arctic and Antarctic
Externí odkaz:
https://doaj.org/article/d92a60fc0bdd4a08b2b5024634d396c7
Autor:
Minakowski, Piotr, Peszek, Jan
We present a data segmentation method based on a first-order density-induced consensus protocol. We provide a mathematically rigorous analysis of the consensus model leading to the stopping criteria of the data segmentation algorithm. To illustrate o
Externí odkaz:
http://arxiv.org/abs/2204.10585
Autor:
Sykora, Martin, Pavelka, Michal, Peshkov, Ilya, Minakowski, Piotr, Klika, Vaclav, Romenski, Evgeniy
How to properly describe continuum thermodynamics of binary mixtures where each constituent has its own momentum? The Symmetric Hyperbolic Thermodynamically Consistent (SHTC) framework and Hamiltonian mechanics in the form of the General Equation for
Externí odkaz:
http://arxiv.org/abs/2201.04460
Autor:
Minakowski, Piotr, Richter, Thomas
We analyze neural network solutions to partial differential equations obtained with Physics Informed Neural Networks. In particular, we apply tools of classical finite element error analysis to obtain conclusions about the error of the Deep Ritz meth
Externí odkaz:
http://arxiv.org/abs/2107.11035
Publikováno v:
Vietnam J. Math. (2021)
We study the impact of using fluid-structure interactions (FSI) to simulate blood flow in a large stenosed artery. We compare typical flow configurations using Navier-Stokes in a rigid geometry setting to a fully coupled FSI model. The relevance of v
Externí odkaz:
http://arxiv.org/abs/2003.05214
The paper introduces a model of collective behavior where agents receive information only from sufficiently dense crowds in their immediate vicinity. The system is an asymmetric, density-induced version of the Cucker-Smale model with short-range inte
Externí odkaz:
http://arxiv.org/abs/2001.11550
Publikováno v:
Comput. & Fluids, 193:104290, 2019
We propose a fluid-rigid body interaction benchmark problem, consisting of a solid spherical obstacle in a Newtonian fluid, whose centre of mass is fixed but is free to rotate. A number of different problems are defined for both two and three spatial
Externí odkaz:
http://arxiv.org/abs/1908.04637
Autor:
Minakowski, Piotr, Richter, Thomas
Publikováno v:
Journal of Scientific Computing volume 84, Article number: 30 (2020)
We develop error estimates for the finite element approximation of elliptic partial differential equations on perturbed domains, i.e. when the computational domain does not match the real geometry. The result shows that the error related to the domai
Externí odkaz:
http://arxiv.org/abs/1902.07532
The existing state of the art for singular models of flocking is overviewed, starting from microscopic model of Cucker and Smale with singular communication weight, through its mesoscopic mean-filed limit, up to the corresponding macroscopic regime.
Externí odkaz:
http://arxiv.org/abs/1807.08617
Publikováno v:
International Journal of Plasticity, Volume 87, December 2016, Pages 114-129
We propose an Eulerian thermodynamically compatible model for ideal plasticity of crystalline solids treated as a material flow through an adjustable crystal lattice space. The model is based on the additive splitting of the velocity gradient into th
Externí odkaz:
http://arxiv.org/abs/1706.00372