New Stability Estimates for an Unfitted Finite Element Method for Two-Phase Stokes Problem

DOI10.1137/19M1266897zbMath1467.65106arXiv1906.02779OpenAlexW3045685352MaRDI QIDQ5115708

Ernesto Cáceres, Johnny Guzmán, Maxim A. Olshanskii

Publication date: 18 August 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02779

zbMATH Keywords

finite elementstwo-phase flowStokes problemXFEMdiscrete extensioncutFEM

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Fictitious domain methods for boundary value problems involving PDEs (65N85) Liquid-liquid two component flows (76T06)

Related Items (6)

A finite element method for two-phase flow with material viscous interface ⋮ An immersed \(CR\)-\(P_0\) element for Stokes interface problems and the optimal convergence analysis ⋮ Surface tension effects between two immiscible Stokes fluids: a computational study using unfitted hybrid high-order methods and a level-set scheme ⋮ An unfitted finite element method for two-phase Stokes problems with slip between phases ⋮ An unconditionally stable semi-implicit CutFEM for an interaction problem between an elastic membrane and an incompressible fluid ⋮ Korn's inequality and eigenproblems for the Lamé operator

Cites Work

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