106 citations · 565 across the 59 of their papers we have counts for
11 papers · 1 filter
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…
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…
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…
Galerkin least squares finite element method for the obstacle problem
Erik Burman, Peter Hansbo, Mats G. Larson +1
We construct a consistent multiplier free method for the finite element solution of the obstacle problem. The method is based on an augmented Lagrangian formulation in which we eli…
Augmented Lagrangian finite element methods for contact problems
Erik Burman, Peter Hansbo, Mats Larson
We propose two different Lagrange multiplier methods for contact problems derived from the augmented Lagrangian variational formulation. Both the obstacle problem, where a constrai…
A Cut Finite Element Method for the Bernoulli Free Boundary Value Problem
Erik Burman, Daniel Elfverson, Peter Hansbo +2
We develop a cut finite element method for the Bernoulli free boundary problem. The free boundary, represented by an approximate signed distance function on a fixed background mesh…
Full Gradient Stabilized Cut Finite Element Methods for Surface Partial Differential Equations
Erik Burman, Peter Hansbo, Mats G. Larson +2
We propose and analyze a new stabilized cut finite element method for the Laplace-Beltrami operator on a closed surface. The new stabilization term provides control of the full $\m…