A fictitious domain approach for the Stokes problem based on the extended finite element method

DOI10.1002/fld.3839zbMath1455.65209arXiv1303.6850OpenAlexW3124377782MaRDI QIDQ4964841

Michel Fournié, Sébastien Court, Alexei Lozinski

Publication date: 4 March 2021

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6850

zbMATH Keywords

fluid-structure interactions mixed method fictitious domain XFEM stabilization technique

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) 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) Finite element methods applied to problems in fluid mechanics (76M10)

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