14 citations · 15 across the 3 of their papers we have counts for
5 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…
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…
High Order Cut Finite Elements for the Elastic Wave Equation
Simon Sticko, Gustav Ludvigsson, Gunilla Kreiss
A high order cut finite element method is formulated for solving the elastic wave equation. Both a single domain problem and an interface problem are treated. The boundary or inter…
High-order numerical methods for 2D parabolic problems in single and composite domains
Gustav Ludvigsson, Kyle R. Steffen, Simon Sticko +4
In this work, we discuss and compare three methods for the numerical approximation of constant- and variable-coefficient diffusion equations in both single and composite domains wi…
Higher Order Cut Finite Elements for the Wave Equation
Simon Sticko, Gunilla Kreiss
The scalar wave equation is solved using higher order immersed finite elements. We demonstrate that higher order convergence can be obtained. Small cuts with the background mesh ar…