High-order cut finite elements for the elastic wave equation

S Sticko, G Ludvigsson, G Kreiss - Advances in Computational …, 2020 - Springer
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 …

High-order numerical methods for 2D parabolic problems in single and composite domains

G Ludvigsson, KR Steffen, S Sticko, S Wang… - Journal of Scientific …, 2018 - Springer
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 …

Towards higher order immersed finite elements for the wave equation

S Sticko - 2016 - diva-portal.org
We consider solving the scalar wave equation using immersed finite elements. Such a
method might be useful, for instance, in scattering problems when the geometry of the …