3 papers
math.AP2024
Comparative Analysis of Obstacle Approximation Strategies for the Steady Incompressible Navier-Stokes Equations
Piotr Krzyżanowski, Sadokat Malikova, Piotr B. Mucha +1
This paper aims to compare and evaluate various obstacle approximation techniques employed in the context of the steady incompressible Navier-Stokes equations. Specifically, we inv…
math.NA2023
Exploiting high-contrast Stokes preconditioners to efficiently solve incompressible fluid-structure interaction problems
Michał Wichrowski, Piotr Krzyżanowski, Luca Heltai +1
In this work, we develop a new algorithm to solve large-scale incompressible time-dependent fluid--structure interaction (FSI) problems using a matrix-free finite element method in…
math.AP2018
Migration-driven benefit in a two-species nutrient taxis system
Piotr Krzyzanowski, Michael Winkler, Dariusz Wrzosek
A model describing the competition of two species for a common nutrient is studied. It is assumed that one of the competitors is motionless while the other has the ability to move…