61 citations · 341 across the 41 of their papers we have counts for
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Existence of strong solutions for a perfect elastic beam interacting with Navier-Stokes equations
Sebastian Schwarzacher, Pei Su
A perfectly elastic beam is situated on top of a two dimensional fluid canister. The beam is deforming in accordance to an interaction with a Navier-Stokes fluid. Hence a hyperboli…
Ladyzhenskaya-Prodi-Serrin condition for fluid-structure interaction systems
Dominic Breit, Prince Romeo Mensah, Sebastian Schwarzacher +1
We consider the interaction of a viscous incompressible fluid with a flexible shell in three space dimensions. The fluid is described by the three-dimensional incompressible Navier…
Stability and convergence of in time approximations of hyperbolic elastodynamics via stepwise minimization
Antonín Češík, Sebastian Schwarzacher
We study step-wise time approximations of non-linear hyperbolic initial value problems. The technique used here is a generalization of the minimizing movements method, using two ti…
Time-periodic weak solutions for the interaction of an incompressible fluid with a linear Koiter type shell under dynamic pressure boundary conditions
Claudiu Mîndrilă, Sebastian Schwarzacher
In many occurrences of fluid-structure interaction time-periodic motions are observed. We consider the interaction between a fluid driven by the three dimensional Navier-Stokes equ…
Stability and error estimates of a linear numerical scheme approximating nonlinear fluid-structure interactions
Sebastian Schwarzacher, Bangwei She, Karel Tuma
In this paper, we propose a linear and monolithic finite element method for the approximation of an incompressible viscous fluid interacting with an elastic and deforming plate. We…