106 citations · 530 across the 81 of their papers we have counts for
5 papers · 2 filters
A Stabilized Cut Finite Element Method for the Three Field Stokes Problem
Erik Burman, Susanne Claus, André Massing
We propose a Nitsche-based fictitious domain method for the three field Stokes problem in which the boundary of the domain is allowed to cross through the elements of a fixed backg…
A penalty free Nitsche type method for the weak imposition of boundary conditions in compressible and incompressible elasticity
Thomas Boiveau, Erik Burman
In this paper, we study the stability of the nonsymmetric version of Nitsche's method without penalty for compressible and incompressible elasticity. For the compressible case we p…
A stabilized nonconforming finite element method for the elliptic Cauchy problem
Erik Burman
In this paper we propose a nonconforming finite element method for the solution of the ill-posed elliptic Cauchy problem. We prove error estimates using continuous dependence estim…
Error estimates for stabilized finite element methods applied to ill-posed problems
Erik Burman
We propose an analysis for the stabilized finite element methods proposed in, E. Burman, Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. Pa…
Cut Finite Element Methods for Coupled Bulk-Surface Problems
Erik Burman, Peter Hansbo, Mats G. Larson +1
We develop a cut finite element method for a second order elliptic coupled bulk-surface model problem. We prove a priori estimates for the energy and norms of the error. Usin…