106 citations · 948 across the 81 of their papers we have counts for
12 papers · 2 filters
Shape Optimization Using the Cut Finite Element Method
Erik Burman, Daniel Elfverson, Peter Hansbo +2
We present a cut finite element method for shape optimization in the case of linear elasticity. The elastic domain is defined by a level-set function, and the evolution of the doma…
Fictitious domain method with boundary value correction using penalty-free Nitsche method
Thomas Boiveau, Erik Burman, Susanne Claus +1
In this paper, we consider a fictitious domain approach based on a Nitsche type method without penalty. To allow for high order approximation using piecewise affine approximation o…
Cut Finite Element Methods for Partial Differential Equations on Embedded Manifolds of Arbitrary Codimensions
Erik Burman, Peter Hansbo, Mats G. Larson +1
We develop a theoretical framework for the analysis of stabilized cut finite element methods for the Laplace-Beltrami operator on a manifold embedded in of arbitrary…
Analysis of Finite Element Methods for Vector Laplacians on Surfaces
Peter Hansbo, Mats G. Larson, Karl Larsson
We develop a finite element method for the vector Laplacian based on the covariant derivative of tangential vector fields on surfaces embedded in . Closely related op…
Solving ill-posed control problems by stabilized finite element methods: an alternative to Tikhonov regularization
Erik Burman, Peter Hansbo, Mats Larson
Tikhonov regularization is one of the most commonly used methods of regularization of ill-posed problems. In the setting of finite element solutions of elliptic partial differentia…
The Penalty Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem
Erik Burman, Peter Hansbo, Mats G. Larson
We design and analyse a Nitsche method for contact problems. Compared to the seminal work of Chouly and Hild (A Nitsche-based method for unilateral contact problems: numerical anal…