4 citations · 7 across the 13 of their papers we have counts for
7 papers · 2 filters
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty
Erik Burman, Johnny Guzman
We consider a finite element method with symmetric stabilisation for the discretisation of the transient convection--diffusion equation. For the time-discretisation we consider eit…
Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension
Erik Burman, Peter Hansbo, Mats G. Larson
In this note we develop a fully explicit cut finite element method for the wave equation. The method is based on using a standard leap frog scheme combined with an extension operat…
Comparison of Shape Derivatives using CutFEM for Ill-posed Bernoulli Free Boundary Problem
Erik Burman, Cuiyu He, Mats G. Larson
In this paper we discuss a level set approach for the identification of an unknown boundary in a computational domain. The problem takes the form of a Bernoulli problem where only…
A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation
Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman +3
Discretization of Navier-Stokes' equations using pressure-robust finite element methods is considered for the high Reynolds number regime. To counter oscillations due to dominating…
Low Regularity Estimates for CutFEM Approximations of an Elliptic Problem with Mixed Boundary Conditions
Erik Burman, Peter Hansbo, Mats G. Larson
We show error estimates for a cut finite element approximation of a second order elliptic problem with mixed boundary conditions. The error estimates are of low regularity type whe…
A cut finite element method for a model of pressure in fractured media
Erik Burman, Peter Hansbo, Mats G. Larson
We develop a robust cut finite element method for a model of diffusion in fractured media consisting of a bulk domain with embedded cracks. The crack has its own pressure field and…