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Piotr Minakowski

Post-doctoral Research Fellow

Otto von Guericke University Magdeburg

I am currently a Post-doctoral Research Fellow Otto von Guericke University Magdeburg, within BMBF project “Simulation and Optimization of Blood Flows in damaged Vessels”.

Interests

  • Mathematical Modelling
  • Numerical solution of PDEs
  • Elastic-visco-plastic materials
  • Artificial Intelligence

Education

  • Post-doctoral Research Fellow, 2015-2017

    Interdisciplinary Center for Scientific Computing, Heidelberg University

  • PhD in Applied Mathematics, 2015

    Univeristy of Warsaw/Charles University in Prague

  • MSc in Applied Mathematics, 2010

    Univeristy of Warsaw

Teaching

Finite Elemente Verfahren / Finite Element Methods

Classes Every Thursday 13:15 , Geb. 02 Computer Pool 106 Gascoigne Source Code Notes Problem 0 Handout Problem 0 Problem 1 Handout …

Complex models and advanced methods in fluid mechanics

Complex models and advanced methods in fluid mechanics Tue. 13:15 - 14:45 G02-20 and Wed. 09:15 - 10:45 G02-20 Computational Exercises …

Projects

Blood Flow

Flow and Fluid Structure Simulation in Biomechanics

Collective Dynamics

From kinetic to continuous models of flocking.

Macroscopic Crowd Modelling

Euler system with variable congestion constrain.

Publications

Preprints:

[1] Piotr Minakowski, Piotr B. Mucha, and Jan Peszek. Density-induced consensus protocol, 2020. [arXiv ]
[2] Piotr Minakowski and Thomas Richter. Finite element error estimates under geometric uncertainty, 2019. [arXiv ]
[3] Lukas Failer, Piotr Minakowski, and Thomas Richter. On the impact of fluid structure interaction in the blood flow simulations, 2020. [pdf ]
[4] Piotr Minakowski. Numerical approximation of a viscosity model for concentrated polymers. [pdf ]

Journal Articles:

[10] Piotr Minakowski, Piotr B. Mucha, Jan Peszek, and Ewelina Zatorska. Singular Cucker--Smale Dynamics, pages 201--243. Springer International Publishing, Cham, 2019. [doi ]
[9] Henry von Wahl, Thomas Richter, Christoph Lehrenfeld, Jan Heiland, and Piotr Minakowski. Numerical benchmarking of fluid-rigid body interactions. Computers & Fluids, 193:104290, 2019. [doi ]
[8] Pierre Degond, Piotr Minakowski, and Ewelina Zatorska. Transport of congestion in two-phase compressible/incompressible flows. Nonlinear Analysis: Real World Applications, 42:485 -- 510, 2018. [doi ]
[7] Pierre Degond, Piotr Minakowski, Laurent Navoret, and Ewelina Zatorska. Finite volume approximations of the euler system with variable congestion. Computers & Fluids, 169:23 -- 39, 2018. Recent progress in nonlinear numerical methods for time-dependent flow & transport problems. [doi ]
[6] Jan Burczak, Josef Málek, and Piotr Minakowski. Stress-diffusive regularizations of non-dissipative rate-type materials. Discrete and Continuous Dynamical Systems - Series S, 10(6):1233--1256, 2017. [doi ]
[5] J. Kratochvil, J. Málek, and P. Minakowski. A Gibbs-potential-based framework for ideal plasticity of crystalline solids treated as a material flow through an adjustable crystal lattice space and its application to three-dimensional micropillar compression. International Journal of Plasticity, 87:114 -- 129, 2016. [doi ]
[4] P Minakowski, J Hron, J Kratochvíl, M Kružík, and J Málek. Plastic deformation treated as material flow through adjustable crystal lattice. IOP Conference Series: Materials Science and Engineering, 63:012130, August 2014. [doi ]
[3] P. Minakowski. Fluid model of crystal plasticity: Numerical simulations of 2-turn equal channel angular extrusion. Technische Mechanik; 34; 3-4; 213-221; ISSN 2199-9244, 2014. [doi ]
[2] Piotr Gwiazda, Piotr Minakowski, and Agnieszka Świerczewska-Gwiazda. On the anisotropic orlicz spaces applied in the problems of continuum mechanics. Discrete and Continuous Dynamical Systems - Series S, 6(5):1291--1306, March 2013. [doi ]
[1] Piotr Gwiazda, Piotr Minakowski, and Aneta Wróblewska-Kamińska. Elliptic problems in generalized orlicz-musielak spaces. Open Mathematics, 10(6), January 2012. [doi ]

Source code:

[1] Piotr Minakowski. Density-induced consensus protocol (source code), November 2019. [doi ]
[2] Henry von Wahl, Thomas Richter, Christoph Lehrenfeld, Jan Heiland, and Piotr Minakowski. Numerical benchmarking of fluid-rigid body interactions, June 2019. [doi ]

Thesis:

[0] Piotr Minakowski. Fluid Model of Crystal Plasticity - Mathematical Propertiesand Computer Simulations. PhD thesis, University of Warsaw, 2015. [link ]

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