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Numerical Analysis of a Cut Finite Element Approach for Fully Eulerian Fluid-Structure Interaction with Fixed Interface
Stefan Frei, Tobias Knoke, Marc C. Steinbach +2
This work develops and analyzes a variational-monolithic unfitted finite element formulation of a linear fluid-structure interaction problem in Eulerian coordinates with a fixed in…
Dual Weighted Residual-driven adaptive mesh refinement to enhance biomechanical simulations
Roland Becker, Franz Chouly, Michel Duprez +3
This chapter describes how a posteriori error estimates targeting a user-defined quantity of interest, using the Dual Weighted Residual (DWR) technique, can be easily applied for b…
Numerical Simulations of Fully Eulerian Fluid-Structure Contact Interaction using a Ghost-Penalty Cut Finite Element Approach
Stefan Frei, Tobias Knoke, Marc C. Steinbach +2
In this work, we develop a cut-based unfitted finite element formulation for solving nonlinear, nonstationary fluid-structure interaction with contact in Eulerian coordinates. In t…
Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements
Stefan Frei, Tobias Knoke, Marc C. Steinbach +2
We present a monolithic finite element formulation for (nonlinear) fluid-structure interaction in Eulerian coordinates. For the discretization we employ an unfitted finite element…