4 citations · 7 across the 6 of their papers we have counts for
11 papers · 1 filter
On the Design of Locking Free Ghost Penalty Stabilization and the Relation to CutFEM with Discrete Extension
Erik Burman, Peter Hansbo, Mats G. Larson
In this note, we develop a new stabilization mechanism for cut finite element methods that generalizes previous approaches of ghost penalty type in two ways: (1) The quantity that…
Conservative Discontinuous Cut Finite Element Methods
Mats G. Larson, Sara Zahedi
We develop a conservative cut finite element method for an elliptic coupled bulk-interface problem. The method is based on a discontinuous Galerkin framework where stabilization is…
CutFEM Based on Extended Finite Element Spaces
Erik Burman, Peter Hansbo, Mats G. Larson
We develop a general framework for construction and analysis of discrete extension operators with application to unfitted finite element approximation of partial differential equat…
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…