83 citations · 299 across the 20 of their papers we have counts for
21 papers
Stabilized cut discontinuous Galerkin methods for advection-reaction problems on surfaces
Tale Bakken Ulfsby, André Massing, Simon Sticko
We develop a novel cut discontinuous Galerkin (CutDG) method for stationary advection-reaction problems on surfaces embedded in . The CutDG method is based on embeddi…
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 partition of unity approach to fluid mechanics and fluid-structure interaction
Maximilian Balmus, Andre Massing, Johan Hoffman +2
For problems involving large deformations of thin structures, simulating fluid-structure interaction (FSI) remains challenging largely due to the need to balance computational feas…
A Stable Cut Finite Element Method for Partial Differential Equations on Surfaces: The Helmholtz-Beltrami Operator
Erik Burman, Peter Hansbo, Mats G. Larson +1
We consider solving the surface Helmholtz equation on a smooth two dimensional surface embedded into a three dimensional space meshed with tetrahedra. The mesh does not respect the…
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…