Stability and optimal convergence of unfitted extended finite element methods with Lagrange multipliers for the Stokes equations

DOI10.1007/978-3-319-71431-8_5zbMath1448.65227arXiv1710.07935OpenAlexW2766462192MaRDI QIDQ2636575

Alexei Lozinski, Michel Fournié

Publication date: 5 June 2018

Full work available at URL: https://arxiv.org/abs/1710.07935

zbMATH Keywords

finite element methodStokes equations

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) 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) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

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Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework ⋮ ϕ-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations ⋮ An enriched shifted boundary method to account for moving fronts ⋮ Stabilized isogeometric formulation of the Stokes problem on overlapping patches ⋮ The Unfitted HHO Method for the Stokes Problem on Curved Domains ⋮ A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries

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