Linking ghost penalty and aggregated unfitted methods

DOI10.1016/j.cma.2021.114232OpenAlexW3212601509MaRDI QIDQ2060146

Francesc Verdugo, Eric Neiva, Santiago Badia

Publication date: 13 December 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.13728

zbMATH Keywords

embedded methodsunfitted finite elementsghost penaltyaggregated finite elementsstabilisation techniques

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (11)

Conditioning of a hybrid high-order scheme on meshes with small faces ⋮ Ghost stabilisation of the material point method for stable quasi‐static and dynamic analysis of large deformation problems ⋮ A quasi-conforming embedded reproducing kernel particle method for heterogeneous materials ⋮ An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation ⋮ Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics ⋮ Preconditioned smoothed numerical manifold methods with unfitted meshes ⋮ Preconditioned numerical manifold method for linear elastic fractures ⋮ Stabilized immersed isogeometric analysis for the Navier-Stokes-Cahn-Hilliard equations, with applications to binary-fluid flow through porous media ⋮ Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems ⋮ Space-time unfitted finite element methods for time-dependent problems on moving domains ⋮ Robust high-order unfitted finite elements by interpolation-based discrete extension

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