A Nitsche-based formulation for fluid-structure interactions with contact
ESAIM: M2AN, 54 2 (2020) 531-564
Published online: 2020-02-18
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
A Review on Some Discrete Variational Techniques for the Approximation of Essential Boundary Conditions
Franz ChoulyVietnam Journal of Mathematics 54 (1) 73 (2026)
https://doi.org/10.1007/s10013-024-00702-1
Iterative contact-resolving hybrid methods for multiscale contact mechanics
Eric T. Chung, Hyea Hyun Kim and Xiang ZhongComputer Methods in Applied Mechanics and Engineering 453 118843 (2026)
https://doi.org/10.1016/j.cma.2026.118843
Study of stabilized mixed formulations for fluid-structure interaction problems within a variational multiscale framework
Inocencio Castañar, Laura Moreno and Ramon CodinaComputer Methods in Applied Mechanics and Engineering 451 118648 (2026)
https://doi.org/10.1016/j.cma.2025.118648
Spline‐Based Framework for Microscopic Contact Zone Modeling in Lubricated Orthogonal Cutting
Jaewook Lee, Jannis Saelzer, Jacques Zwar, Florian Zwicke, Felipe Gonzalez, Thomas Spenke, Norbert Hosters, Gero Polus, Andreas Zabel and Stefanie ElgetiInternational Journal for Numerical Methods in Engineering 126 (14) (2025)
https://doi.org/10.1002/nme.70087
A locally modified finite element method for a Stokes interface problem
Stefan Frei, Gozel Judakova and Thomas RichterAdvances in Computational Science and Engineering 3 46 (2025)
https://doi.org/10.3934/acse.2025004
153 313 (2025)
https://doi.org/10.1007/978-3-031-86173-4_32
Fluid-structure modeling of iceberg capsize
Nicolas De Pinho Dias, Alban Leroyer, Anne Mangeney and Olivier CastelnauOcean Engineering 336 121765 (2025)
https://doi.org/10.1016/j.oceaneng.2025.121765
https://doi.org/10.1016/bs.aams.2025.09.003
Nitsche-based material point method for large deformation frictional contact problems
Kun Zhang, Shui-Long Shen, Hui Wu and Annan ZhouComputational Particle Mechanics 12 (2) 947 (2025)
https://doi.org/10.1007/s40571-024-00846-4
79 (2025)
https://doi.org/10.1007/978-3-031-72530-2_5
Hydrodynamic Analysis for Mangrove Forests under Wave and Current Effects Using High-Order Phase-Resolving CutFEM
Wen-Huai Tsao, Christopher E. Kees and Rebecca SchurrJournal of Waterway, Port, Coastal, and Ocean Engineering 151 (3) (2025)
https://doi.org/10.1061/JWPED5.WWENG-2130
Numerical simulations of fully Eulerian fluid-structure contact interaction using a ghost-penalty cut finite element approach
Stefan Frei, Tobias Knoke, Marc C. Steinbach, Anne-Kathrin Wenske and Thomas WickAdvances in Computational Science and Engineering 3 74 (2025)
https://doi.org/10.3934/acse.2025005
Constructing Nitsche’s Method for Variational Problems
Joseph Benzaken, John A. Evans and Rasmus TamstorfArchives of Computational Methods in Engineering 31 (4) 1867 (2024)
https://doi.org/10.1007/s11831-023-09953-6
A mechanically consistent unified formulation for fluid-porous-structure-contact interaction
Fannie M. Gerosa and Alison L. MarsdenComputer Methods in Applied Mechanics and Engineering 425 116942 (2024)
https://doi.org/10.1016/j.cma.2024.116942
An Implicitly Extended Crank–Nicolson Scheme for the Heat Equation on a Time-Dependent Domain
Stefan Frei and Maneesh Kumar SinghJournal of Scientific Computing 99 (3) (2024)
https://doi.org/10.1007/s10915-024-02530-4
Two Nitsche-based mixed finite element discretizations for the seepage problem in Richards’ equation
Federico Gatti, Andrea Bressan, Alessio Fumagalli, Domenico Gallipoli, Leonardo Maria Lalicata, Simone Pittaluga and Lorenzo TamelliniComputer Methods in Applied Mechanics and Engineering 432 117368 (2024)
https://doi.org/10.1016/j.cma.2024.117368
(2024)
https://doi.org/10.2139/ssrn.4829494
Space–time boundary elements for frictional contact in elastodynamics
Alessandra Aimi, Giulia Di Credico and Heiko GimperleinComputer Methods in Applied Mechanics and Engineering 427 117066 (2024)
https://doi.org/10.1016/j.cma.2024.117066
Geometric re-meshing strategies to simulate contactless rebounds of elastic solids in fluids
J. Fara, S. Schwarzacher and K. TůmaComputer Methods in Applied Mechanics and Engineering 422 116824 (2024)
https://doi.org/10.1016/j.cma.2024.116824
Attached and separated rotating flow over a finite height ridge
S. Frei, E. Burman and E. JohnsonPhysical Review Fluids 9 (8) (2024)
https://doi.org/10.1103/PhysRevFluids.9.084801
An efficient phase-field framework for contact dynamics between deformable solids in fluid flow
Biswajeet Rath, Xiaoyu Mao and Rajeev K. JaimanComputer Methods in Applied Mechanics and Engineering 432 117348 (2024)
https://doi.org/10.1016/j.cma.2024.117348
The Augmented Lagrangian Method as a Framework for Stabilised Methods in Computational Mechanics
Erik Burman, Peter Hansbo and Mats G. LarsonArchives of Computational Methods in Engineering 30 (4) 2579 (2023)
https://doi.org/10.1007/s11831-022-09878-6
Time domain boundary elements for elastodynamic contact
Alessandra Aimi, Giulia Di Credico and Heiko GimperleinComputer Methods in Applied Mechanics and Engineering 415 116296 (2023)
https://doi.org/10.1016/j.cma.2023.116296
A locally modified second-order finite element method for interface problems and its implementation in 2 dimensions
Stefan Frei, Gozel Judakova and Thomas RichterESAIM: Mathematical Modelling and Numerical Analysis 57 (3) 1355 (2023)
https://doi.org/10.1051/m2an/2023022
Fluids Under Control
Petr Sváček and Jan ValášekAdvances in Mathematical Fluid Mechanics, Fluids Under Control 323 (2023)
https://doi.org/10.1007/978-3-031-27625-5_11
Towards parallel time-stepping for the numerical simulation of atherosclerotic plaque growth
Stefan Frei and Alexander HeinleinJournal of Computational Physics 491 112347 (2023)
https://doi.org/10.1016/j.jcp.2023.112347
Numerical simulation of Fluid–Structure Interaction problems with viscoelastic fluids using a log-conformation reformulation
Laura Moreno, Inocencio Castañar, Ramon Codina, Joan Baiges and Domingo CattoniComputer Methods in Applied Mechanics and Engineering 410 115986 (2023)
https://doi.org/10.1016/j.cma.2023.115986
A mechanically consistent model for fluid–structure interactions with contact including seepage
Erik Burman, Miguel A. Fernández, Stefan Frei and Fannie M. GerosaComputer Methods in Applied Mechanics and Engineering 392 114637 (2022)
https://doi.org/10.1016/j.cma.2022.114637
2425 020014 (2022)
https://doi.org/10.1063/5.0081757
Computational Fluid–Structure Interaction Study of a New Wave Membrane Blood Pump
Marco Martinolli, François Cornat and Christian VergaraCardiovascular Engineering and Technology 13 (3) 373 (2022)
https://doi.org/10.1007/s13239-021-00584-1
Mathematical Methods for Engineering Applications
Petr SváčekSpringer Proceedings in Mathematics & Statistics, Mathematical Methods for Engineering Applications 384 209 (2022)
https://doi.org/10.1007/978-3-030-96401-6_20
Stability Analysis of Polytopic Discontinuous Galerkin Approximations of the Stokes Problem with Applications to Fluid–Structure Interaction Problems
Paola F. Antonietti, Lorenzo Mascotto, Marco Verani and Stefano ZoncaJournal of Scientific Computing 90 (1) (2022)
https://doi.org/10.1007/s10915-021-01695-6
A non‐conforming finite element formulation for modeling compressible viscous fluid and flexible solid interaction
Hamideh Hassanpour Guilvaiee, Florian Toth and Manfred KaltenbacherInternational Journal for Numerical Methods in Engineering 123 (24) 6127 (2022)
https://doi.org/10.1002/nme.7106
Cut finite element methods and ghost stabilization techniques for space‐time discretizations of the Navier–Stokes equations
Mathias Anselmann and Markus BauseInternational Journal for Numerical Methods in Fluids 94 (7) 775 (2022)
https://doi.org/10.1002/fld.5074
Semi-implicit fluid–structure interaction in biomedical applications
Richard Schussnig, Douglas R.Q. Pacheco, Manfred Kaltenbacher and Thomas-Peter FriesComputer Methods in Applied Mechanics and Engineering 400 115489 (2022)
https://doi.org/10.1016/j.cma.2022.115489
Simple, accurate, and efficient embedded finite element methods for fluid–solid interaction
Christopher E. Kees, J. Haydel Collins and Alvin ZhangComputer Methods in Applied Mechanics and Engineering 389 114404 (2022)
https://doi.org/10.1016/j.cma.2021.114404
Efficient split-step schemes for fluid–structure interaction involving incompressible generalised Newtonian flows
Richard Schussnig, Douglas R.Q. Pacheco and Thomas-Peter FriesComputers & Structures 260 106718 (2022)
https://doi.org/10.1016/j.compstruc.2021.106718
Numerical Mathematics and Advanced Applications ENUMATH 2019
Erik Burman, Miguel A. Fernández, Stefan Frei and Fannie M. GerosaLecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2019 139 215 (2021)
https://doi.org/10.1007/978-3-030-55874-1_20
LocModFE: Locally modified finite elements for approximating interface problems in deal.II
Stefan Frei, Thomas Richter and Thomas WickSoftware Impacts 8 100070 (2021)
https://doi.org/10.1016/j.simpa.2021.100070
Falling balls in a viscous fluid with contact: Comparing numerical simulations with experimental data
Henry von Wahl, Thomas Richter, Stefan Frei and Thomas HagemeierPhysics of Fluids 33 (3) (2021)
https://doi.org/10.1063/5.0037971
A consistent and versatile computational approach for general fluid‐structure‐contact interaction problems
Christoph Ager, Alexander Seitz and Wolfgang A. WallInternational Journal for Numerical Methods in Engineering 122 (19) 5279 (2021)
https://doi.org/10.1002/nme.6556
A consistent computational approach for general fluid-poroelasticity-structure-contact interaction problems
C. Ager, A. Seitz and W.A. WallJournal of Computational Physics 441 110450 (2021)
https://doi.org/10.1016/j.jcp.2021.110450
Numerical Simulation of Dynamic Fluid-Structure Interaction with Elastic Structure–Rigid Obstacle Contact
Othman Yakhlef and Cornel Marius MureaFluids 6 (2) 51 (2021)
https://doi.org/10.3390/fluids6020051
FE numerical simulation of incompressible airflow in the glottal channel periodically closed by self-sustained vocal folds vibration
Petr Sváček and Jaromír HoráčekJournal of Computational and Applied Mathematics 393 113529 (2021)
https://doi.org/10.1016/j.cam.2021.113529