106 citations · 565 across the 59 of their papers we have counts for
9 papers · 1 filter
Augmented Lagrangian and Galerkin least squares methods for membrane contact
Erik Burman, Peter Hansbo, Mats G. Larson
In this paper, we propose a stabilised finite element method for the numerical solution of contact between a small deformation elastic membrane and a rigid obstacle. We limit ourse…
A Simple Finite Element Method for Elliptic Bulk Problems with Embedded Surfaces
Erik Burman, Peter Hansbo, Mats G. Larson
In this paper we develop a simple finite element method for simulation of embedded layers of high permeability in a matrix of lower permeability using a basic model of Darcy flow i…
A simple approach for finite element simulation of reinforced plates
Erik Burman, Peter Hansbo, Mats G. Larson
We present a new approach for adding Bernoulli beam reinforcements to Kirchhoff plates. The plate is discretised using a continuous/discontinuous finite element method based on sta…
A Nitsche Method for Elliptic Problems on Composite Surfaces
Peter Hansbo, Tobias Jonsson, Mats G. Larson +1
We develop a finite element method for elliptic partial differential equations on so called composite surfaces that are built up out of a finite number of surfaces with boundaries…
Finite element procedures for computing normals and mean curvature on triangulated surfaces and their use for mesh refinement
Mirza Cenanovic, Peter Hansbo, Mats G. Larson
In this paper we consider finite element approaches to computing the mean curvature vector and normal at the vertices of piecewise linear triangulated surfaces. In particular, we a…
Cut Finite Element Methods for Linear Elasticity Problems
Peter Hansbo, Mats G. Larson, Karl Larsson
We formulate a cut finite element method for linear elasticity based on higher order elements on a fixed background mesh. Key to the method is a stabilization term which provides c…
Deriving robust unfitted finite element methods from augmented Lagrangian formulations
Erik Burman, Peter Hansbo
In this paper we will discuss different coupling methods {suitable for use in} the framework of the recently introduced CutFEM paradigm, cf. Burman, Erik; Claus, Susanne; Hansbo, P…
Continuous/Discontinuous Finite Element Modelling of Kirchhoff Plate Structures in Using Tangential Differential Calculus
Peter Hansbo, Mats G. Larson
We employ surface differential calculus to derive models for Kirchhoff plates including in-plane membrane deformations. We also extend our formulation to structures of plates. For…
A Stabilized Cut Finite Element Method for the Darcy Problem on Surfaces
Peter Hansbo, Mats G. Larson, Andre Massing
We develop a cut finite element method for the Darcy problem on surfaces. The cut finite element method is based on embedding the surface in a three dimensional finite element mesh…