106 citations · 530 across the 81 of their papers we have counts for
9 papers · 2 filters
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…
An unfitted Hybrid High-Order method for elliptic interface problems
Erik Burman, Alexandre Ern
We design and analyze a Hybrid High-Order (HHO) method on unfitted meshes to approximate elliptic interface problems. The curved interface can cut through the mesh cells in a very…
Unique continuation for the Helmholtz equation using stabilized finite element methods
Erik Burman, Mihai Nechita, Lauri Oksanen
In this work we consider the computational approximation of a unique continuation problem for the Helmholtz equation using a stabilized finite element method. First conditional sta…
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…
Fully discrete finite element data assimilation method for the heat equation
Erik Burman, Jonathan Ish-Horowicz, Lauri Oksanen
We consider a finite element discretization for the reconstruction of the final state of the heat equation, when the initial data is unknown, but additional data is given in a sub…