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Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements

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Stefan Frei, Tobias Knoke, Marc C. Steinbach, Anne-Kathrin Wenske, Thomas Wick

Numerical Analysis · Submitted 31 Jan 2024

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Our developments are tested on a numerical example with fixed interface.

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arXiv ID2402.00209 (version 1)
Pith IDECA2G4GL, Pith's permanent record of this paper and its review
CitationAnne-Kathrin Wenske, Marc C. Steinbach, Stefan Frei, Thomas Wick, Tobias Knoke. "Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements." arXiv:2402.00209 (2024). https://pith.science/paper/ECA2G4GL
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,123 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.59 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We present a monolithic finite element formulation for (nonlinear) fluid-structure interaction in Eulerian coordinates. For the discretization we employ an unfitted finite element method based on inf-sup stable finite elements. So-called ghost penalty terms are used to guarantee the robustness of the approach independently of the way the interface cuts the finite element mesh. The resulting system is solved in a monolithic fashion using Newton's method. Our developments are tested on a numerical example with fixed interface.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We present a monolithic finite element formulation for (nonlinear) fluid-structure interaction in Eulerian coordinates. contribution 0.99 0.94 0.18 asserted 1.00
s1 For the discretization we employ an unfitted finite element method based on inf-sup stable finite elements. method 0.99 0.85 0.04 asserted 1.00
s2 So-called ghost penalty terms are used to guarantee the robustness of the approach independently of the way the interface cuts the finite element mesh. method 0.98 0.79 0.07 asserted 1.00
s3 The resulting system is solved in a monolithic fashion using Newton's method. method 1.00 0.89 0.07 asserted 1.00
s4 Our developments are tested on a numerical example with fixed interface. method 0.46 0.95 0.08 asserted 1.00

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from simulation or computation 1.00.

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  • T body sentences
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We present a monolithic finite element formulation for (nonlinear) fluid-structure interaction in Eulerian coordinates. For the discretization we employ an unfitted finite element method based on inf-sup stable finite elements. So-called ghost penalty terms are used to guarantee the robustness of the approach independently of the way the interface cuts the finite element mesh. The resulting system is solved in a monolithic fashion using Newton's method. Our developments are tested on a numerical example with fixed interface.

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