106 citations · 948 across the 81 of their papers we have counts for
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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…
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…