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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
Space-time CutFEM on overlapping meshes I: simple continuous mesh motion
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
Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework
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
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains
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
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
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains
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
A fourth-order unfitted characteristic finite element method for free-boundary problems
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
A unified theory for continuous-in-time evolving finite element space approximations to partial differential equations in evolving domains