106 citations · 565 across the 59 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…
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…
Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics
Erik Burman, Snorre Christiansen, Peter Hansbo
In this note we will explore some applications of the recently constructed piecewise affine, -conforming element that fits in a discrete de Rham complex [Christiansen and Hu,…