An interface penalty parameter free nonconforming cut finite element method for elliptic interface problems
DOI10.1016/j.apnum.2021.12.011zbMath1483.65187OpenAlexW4200388592MaRDI QIDQ2073968
Publication date: 3 February 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.12.011
Nitsche's methodelliptic interface probleminterface penalty parameter freenonconforming cut finite element
Boundary value problems for second-order elliptic equations (35J25) 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) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A uniformly well-conditioned, unfitted Nitsche method for interface problems
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
- A discontinuous \(hp\) finite element method for diffusion problems
- Nonstandard coarse spaces and Schwarz methods for elliptic problems with discontinuous coefficients using non-conforming elements
- Fictitious domain method with boundary value correction using penalty-free Nitsche method
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- The mortar element method with locally nonconforming elements
- A new parameter free partially penalized immersed finite element and the optimal convergence analysis
- High-order extended finite element methods for solving interface problems
- Extension of NXFEM to nonconforming finite elements
- An unfitted finite element method for two-phase Stokes problems with slip between phases
- A cut finite element method for coupled bulk-surface problems on time-dependent domains
- The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements
- An unfitted interface penalty finite element method for elliptic interface problems
- A stabilized Nitsche cut finite element method for the Oseen problem
- A nonconforming Nitsche's extended finite element method for Stokes interface problems
- Stabilized extended finite elements for the approximation of saddle point problems with unfitted interfaces
- A cut finite element method for a Stokes interface problem
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Penalty-free Nitsche method for interface problems
- Uniform a priori estimates for elliptic and static Maxwell interface problems
- Analysis of an XFEM Discretization for Stokes Interface Problems
- A reduced model for Darcy’s problem in networks of fractures
- CutFEM: Discretizing geometry and partial differential equations
- An XFEM-based embedding mesh technique for incompressible viscous flows
- Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations
- A new multiscale finite element method for high-contrast elliptic interface problems
- A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions
- A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity
- Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems
- The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem
- Analysis of a Nonsymmetric Discontinuous Galerkin Method for Elliptic Problems: Stability and Energy Error Estimates
- A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity
- A Well-Conditioned, Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems
- An Unfitted hp-Interface Penalty Finite Element Method for Elliptic Interface Problems
- Analysis of a stabilized penalty-free Nitsche method for the Brinkman, Stokes, and Darcy problems
- The Mathematical Theory of Finite Element Methods
This page was built for publication: An interface penalty parameter free nonconforming cut finite element method for elliptic interface problems
