5 papers · 1 filter
A multimesh finite element method for the Navier-Stokes equations based on projection methods
Jørgen S. Dokken, August Johansson, André Massing +1
The multimesh finite element method is a technique for solving partial differential equations on multiple non-matching meshes by enforcing interface conditions using Nitsche's meth…
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains
Erik Burman, Stefan Frei, Andre Massing
This article is concerned with the discretisation of the Stokes equations on time-dependent domains in an Eulerian coordinate framework. Our work can be seen as an extension of a r…
A Stabilized Cut Streamline Diffusion Finite Element Method for Convection-Diffusion Problems on Surfaces
Erik Burman, Peter Hansbo, Mats G. Larson +2
We develop a stabilized cut finite element method for the stationary convection diffusion problem on a surface embedded in . The cut finite element method is based…
Stabilized CutDG methods for advection-reaction problems
Ceren Gürkan, Simon Sticko, André Massing
We develop novel stabilized cut discontinuous Galerkin (CutDG) methods for advection-reaction problems. The domain of interest is embedded into a structured, unfitted background me…
A stabilized cut discontinuous Galerkin framework: I. Elliptic boundary value and interface problems
Ceren Gürkan, André Massing
We develop a stabilized cut discontinuous Galerkin framework for the numerical solution of el- liptic boundary value and interface problems on complicated domains. The domain of in…