106 citations · 948 across the 81 of their papers we have counts for
5 papers · 1 filter
The Finite Cell Method with Least Squares Stabilized Nitsche Boundary Conditions
Karl Larsson, Stefan Kollmannsberger, Ernst Rank +1
We apply the recently developed least squares stabilized symmetric Nitsche method for enforcement of Dirichlet boundary conditions to the finite cell method. The least squares stab…
Nitsche's Finite Element Method for Model Coupling in Elasticity
Peter Hansbo, Mats G. Larson
We develop a Nitsche finite element method for a model of Euler--Bernoulli beams with axial stiffness embedded in a two--dimensional elastic bulk domain. The beams have their own d…
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…
Error estimates for the Smagorinsky turbulence model: enhanced stability through scale separation and numerical stabilization
Erik Burman, Peter Hansbo, Mats G. Larson
In the present work we show some results on the effect of the Smagorinsky model on the stability of the associated perturbation equation. We show that in the presence of a spectral…
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…