An unfitted finite element method for two-phase Stokes problems with slip between phases
DOI10.1007/s10915-021-01658-xzbMath1500.65098arXiv2101.09627OpenAlexW3207417338MaRDI QIDQ2236540
Annalisa Quaini, Qi Sun, Maxim A. Olshanskii
Publication date: 25 October 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.09627
PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Interfacial stability and instability in hydrodynamic stability (76E17) Liquid-liquid two component flows (76T06)
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- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- Ghost penalty
- Extended ALE method for fluid-structure interaction problems with large structural displacements
- A stabilized Nitsche overlapping mesh method for the Stokes problem
- Error estimates for finite element method solution of the Stokes problem in the primitive variables
- A front-tracking method for viscous, incompressible multi-fluid flows
- A level set approach for computing solutions to incompressible two-phase flow
- Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6--8, 2016
- Calculation of two-phase Navier-Stokes flows using phase-field modeling
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- Theory and practice of finite elements.
- A CutFEM method for two-phase flow problems
- A new unfitted stabilized Nitsche's finite element method for Stokes interface problems
- The stable XFEM for two-phase flows
- An enriched finite element/level-set method for simulating two-phase incompressible fluid flows with surface tension
- A cut finite element method for incompressible two-phase Navier-Stokes flows
- A nonconforming Nitsche's extended finite element method for Stokes interface problems
- A finite element based level set method for two-phase incompressible flows
- High order unfitted finite element methods on level set domains using isoparametric mappings
- Analysis of a Stokes interface problem
- A cut finite element method for a Stokes interface problem
- A hybrid level set/front tracking approach for finite element simulations of two-phase flows
- A conservative level set method for two phase flow
- An immersed discontinuous finite element method for Stokes interface problems
- A higher order isoparametric fictitious domain method for level set domains
- Analysis of an XFEM Discretization for Stokes Interface Problems
- CutFEM: Discretizing geometry and partial differential equations
- An Extended Finite Element Method for Two-Phase Fluids
- The intrinsic XFEM for two-fluid flows
- Analysis of a high-order unfitted finite element method for elliptic interface problems
- Inf-sup stability of geometrically unfitted Stokes finite elements
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- Korn's inequalities for piecewise $H^1$ vector fields
- A finite element method for crack growth without remeshing
- New Stability Estimates for an Unfitted Finite Element Method for Two-Phase Stokes Problem
- A Multigrid Method for Unfitted Finite Element Discretizations of Elliptic Interface Problems
- An Eulerian finite element method for PDEs in time-dependent domains
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