106 citations
- Umeå UniversitySE36 papers
- University College LondonGB21 papers
- KTH Royal Institute of TechnologySE5 papers
- Linköping UniversitySE3 papers
- Stockholm UniversitySE3 papers
- TU WienAT2 papers
- University of BoråsSE2 papers
- Aalto UniversityFI1 paper
- Birmingham City UniversityGB1 paper
- Blekinge Institute of TechnologySE1 paper
- Board of the Swiss Federal Institutes of TechnologyCH1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
9 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…
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…
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…
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…
Optimal Design of Fibre Reinforced Membrane Structures
Anders Klarbring, Bo Torstenfelt, Peter Hansbo +1
A design problem of finding an optimally stiff membrane structure by selecting one-dimensional fiber reinforcements is formulated and solved. The membrane model is derived in a nov…