A nonconforming Nitsche's extended finite element method for Stokes interface problems

DOI10.1007/s10915-019-01019-9zbMath1462.65203OpenAlexW2964865268WikidataQ127409566 ScholiaQ127409566MaRDI QIDQ2333702

Nan Wang, Jinru Chen

Publication date: 13 November 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-019-01019-9

zbMATH Keywords

Nitsche's methodinterface-unfitted meshStokes interface problemsnonconforming extended finite element

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 (16)

An extended mixed finite element method for elliptic interface problems ⋮ A stabilized nonconforming Nitsche's extended finite element method for Stokes interface problems ⋮ 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 ⋮ An extended finite element method for coupled Darcy–Stokes problems ⋮ Kernel-free boundary integral method for two-phase Stokes equations with discontinuous viscosity on staggered grids ⋮ Kernel free boundary integral method for 3D incompressible flow and linear elasticity equations on irregular domains ⋮ A new immersed finite element method for two-phase Stokes problems having discontinuous pressure ⋮ Unnamed Item ⋮ A generalized finite difference method for solving Stokes interface problems ⋮ An unfitted finite element method for two-phase Stokes problems with slip between phases ⋮ A Nitsche extended finite element method for the biharmonic interface problem ⋮ A class of nonconforming immersed finite element methods for Stokes interface problems ⋮ A conforming-nonconforming mixed immersed finite element method for unsteady Stokes equations with moving interfaces ⋮ An interface penalty parameter free nonconforming cut finite element method for elliptic interface problems ⋮ A Nitsche mixed extended finite element method for the biharmonic interface problem

Cites Work

• Unnamed Item
• Unnamed Item
• Ghost penalty
• A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
• A finite element method for interface problems in domains with smooth boundaries and interfaces
• A robust variant of NXFEM for the interface problem
• A stabilized Nitsche overlapping mesh method for the Stokes problem
• Finite element methods and their convergence for elliptic and parabolic interface problems
• An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
• A conforming enriched finite element method for Stokes interface problems
• A new unfitted stabilized Nitsche's finite element method for Stokes interface problems
• Extension of NXFEM to nonconforming finite elements
• Stabilized extended finite elements for the approximation of saddle point problems with unfitted interfaces
• Analysis of a Stokes interface problem
• A cut finite element method for a Stokes interface problem
• Analysis of an XFEM Discretization for Stokes Interface Problems
• Elastic crack growth in finite elements with minimal remeshing
• Inf-sup stability of geometrically unfitted Stokes finite elements
• Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem

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