14 citations · 16 across the 2 of their papers we have counts for
3 papers
On energy-stable and high order finite element methods for the wave equation in heterogeneous media with perfectly matched layers
Gustav Ludvigsson, Kenneth Duru, Gunilla Kreiss
This paper presents a stable finite element approximation for the acoustic wave equation on second-order form, with perfectly matched layers (PML) at the boundaries. Energy estimat…
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…