106 citations · 530 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…
Stabilized nonconforming finite element methods for data assimilation in incompressible flows
Erik Burman, Peter Hansbo
We consider a stabilized nonconforming finite element method for data assimilation in incompressible flow subject to the Stokes' equations. The method uses a primal dual structure…
Data assimilation for the heat equation using stabilized finite element methods
Erik Burman, Lauri Oksanen
We consider data assimilation for the heat equation using a finite element space semi-discretization. The approach is optimization based, but the design of regularization operators…
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…