4 citations · 7 across the 5 of their papers we have counts for
11 papers
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…
Augmented Lagrangian approach to deriving discontinuous Galerkin methods for nonlinear elasticity problems
Peter Hansbo, Mats G. Larson
We use the augmented Lagrangian formalism to derive discontinuous Galerkin formulations for problems in nonlinear elasticity. In elasticity stress is typically a symmetric function…
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…
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…