13 citations · 14 across the 3 of their papers we have counts for
6 papers
On the Impact of Fluid Structure Interaction in Blood Flow Simulations: Stenotic Coronary Artery Benchmark
Lukas Failer, Piotr Minakowski, Thomas Richter
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 r…
Density-induced Consensus Protocol
Piotr Minakowski, Piotr B. Mucha, Jan Peszek
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, d…
Numerical benchmarking of fluid-rigid body interactions
Henry von Wahl, Thomas Richter, Christoph Lehrenfeld +2
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 n…
Finite Element Error Estimates on Geometrically Perturbed Domains
Piotr Minakowski, Thomas Richter
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 t…
Singular Cucker-Smale Dynamics
Piotr Minakowski, Piotr B. Mucha, Jan Peszek +1
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 mes…
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
Jan Kratochvíl, Josef Málek, Piotr Minakowski
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 mod…