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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 Wick Advances in Computational Science and Engineering 3 74 (2025) https://doi.org/10.3934/acse.2025005
A Narrow Band Finite Element Method for the Level Set Equation
Maxim A. Olshanskii, Arnold Reusken and Paul Schwering SIAM Journal on Scientific Computing 47(2) A762 (2025) https://doi.org/10.1137/24M1674182
Optimal convergence of arbitrary Lagrangian–Eulerian finite element methods for the Stokes equations in an evolving domain
Space–time unfitted finite elements on moving explicit geometry representations
Santiago Badia, Pere A. Martorell and Francesc Verdugo Computer Methods in Applied Mechanics and Engineering 428 117091 (2024) https://doi.org/10.1016/j.cma.2024.117091
A high-order conservative cut finite element method for problems in time-dependent domains
Stability and Conditioning of Immersed Finite Element Methods: Analysis and Remedies
Frits de Prenter, Clemens V. Verhoosel, E. Harald van Brummelen, Mats G. Larson and Santiago Badia Archives of Computational Methods in Engineering 30(6) 3617 (2023) https://doi.org/10.1007/s11831-023-09913-0
Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems
Fabian Heimann, Christoph Lehrenfeld, Paul Stocker and Henry von Wahl ESAIM: Mathematical Modelling and Numerical Analysis 57(5) 2803 (2023) https://doi.org/10.1051/m2an/2023064
An Integral Equation Method for the Advection-Diffusion Equation on Time-Dependent Domains in the Plane
A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems
Efthymios N. Karatzas, Monica Nonino, Francesco Ballarin and Gianluigi Rozza Computers & Mathematics with Applications 116 140 (2022) https://doi.org/10.1016/j.camwa.2021.07.016
An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations
Maxim A. Olshanskii, Arnold Reusken and Alexander Zhiliakov Mathematical Models and Methods in Applied Sciences 32(14) 2817 (2022) https://doi.org/10.1142/S0218202522500658
Stability Analysis of Polytopic Discontinuous Galerkin Approximations of the Stokes Problem with Applications to Fluid–Structure Interaction Problems
A mechanically consistent model for fluid–structure interactions with contact including seepage
Erik Burman, Miguel A. Fernández, Stefan Frei and Fannie M. Gerosa Computer Methods in Applied Mechanics and Engineering 392 114637 (2022) https://doi.org/10.1016/j.cma.2022.114637
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains
Using a deep neural network to predict the motion of underresolved triangular rigid bodies in an incompressible flow
Henry von Wahl and Thomas Richter International Journal for Numerical Methods in Fluids 93(12) 3364 (2021) https://doi.org/10.1002/fld.5037
Two-point block variable order step size multistep method for solving higher order ordinary differential equations directly
Ahmad Fadly Nurullah Rasedee, Mohammad Hasan Abdul Sathar, Siti Raihana Hamzah, et al. Journal of King Saud University - Science 33(3) 101376 (2021) https://doi.org/10.1016/j.jksus.2021.101376
An Unfitted Finite Element Method for Two-Phase Stokes Problems with Slip Between Phases