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math.NA2026
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…
math.NA2025
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…
math.NA2024
A non-intrusive neural-network based BFGS algorithm for parameter estimation in non-stationary elasticity
Stefan Frei, Jan Reichle, Stefan Volkwein
We present a non-intrusive gradient and a non-intrusive BFGS algorithm for parameter estimation problems in non-stationary elasticity. To avoid multiple (and potentially expensive)…