106 citations · 948 across the 81 of their papers we have counts for
11 papers · 1 filter
Primal dual mixed finite element methods for the elliptic Cauchy problem
Erik Burman, Mats. G. Larson, Lauri Oksanen
We consider primal-dual mixed finite element methods for the solution of the elliptic Cauchy problem, or other related data assimilation problems. The method has a local conservati…
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…
Stabilization of High Order Cut Finite Element Methods on Surfaces
Mats G. Larson, Sara Zahedi
We develop and analyze a stabilization term for cut finite element approximations of an elliptic second order partial differential equation on a surface embedded in .…
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…