A cut finite element method for non-Newtonian free surface flows in 2D -- application to glacier modelling
DOI10.1016/j.jcpx.2021.100090OpenAlexW3152917744WikidataQ114183728 ScholiaQ114183728MaRDI QIDQ6186263
Daniel Elfverson, Josefin Ahlkrona
Publication date: 9 January 2024
Published in: Journal of Computational Physics: X (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcpx.2021.100090
free boundary problemsnon-Newtonian flowunfitted finite element methodssharp interface methodsice sheet modelling
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Incompressible viscous fluids (76Dxx)
Cites Work
- A stabilized Nitsche fictitious domain method for the Stokes problem
- A meshfree approach to non-Newtonian free surface ice flow: application to the Haut Glacier d'Arolla
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- Approximation of the \(p\)-Stokes equations with equal-order finite elements
- A cut finite element method for incompressible two-phase Navier-Stokes flows
- A stabilized Nitsche cut finite element method for the Oseen problem
- A Nitsche cut finite element method for the Oseen problem with general Navier boundary conditions
- 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)
- On the Finite Element Approximation ofp-Stokes Systems
- CutFEM: Discretizing geometry and partial differential equations
- The extended/generalized finite element method: An overview of the method and its applications
- Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
- Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations
- Mixed Finite Element Methods and Applications
- Stabilized Cut Discontinuous Galerkin Methods for Advection-Reaction Problems
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