18 citations · 25 across the 6 of their papers we have counts for
6 papers · 1 filter
Unique continuation for the Lamé system using stabilized finite element methods
Erik Burman, Janosch Preuss
We introduce an arbitrary order, stabilized finite element method for solving a unique continuation problem subject to the time-harmonic elastic wave equation with variable coeffic…
Cut finite element method for divergence free approximation of incompressible flow: a Lagrange multiplier approach
Erik Burman, Peter Hansbo, Mats G. Larson
In this note we design a cut finite element method for a low order divergence free element applied to a boundary value problem subject to Stokes' equations. For the imposition of D…
The augmented Lagrangian method as a framework for stabilised methods in computational mechanics
Erik Burman, Peter Hansbo, Mats G. Larson
In this paper we will review recent advances in the application of the augmented Lagrange multiplier method as a general approach for generating multiplier--free stabilised methods…
Extension Operators for Trimmed Spline Spaces
Erik Burman, Peter Hansbo, Mats G. Larson +1
We develop a discrete extension operator for trimmed spline spaces consisting of piecewise polynomial functions of degree with continuous derivatives. The construction is b…
Continuous Interior Penalty stabilization for divergence-free finite element methods
Gabriel R. Barrenechea, Erik Burman, Ernesto Cáceres +1
In this paper we propose, analyze, and test numerically a pressure-robust stabilized finite element for a linearized problem in incompressible fluid mechanics, namely, the steady O…
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis
Erik Burman, Rebecca Durst, Miguel A. Fernández +1
We consider a fully discrete loosely coupled scheme for incompressible fluid-structure interaction based on the time semi-discrete splitting method introduced in {\emph{[Burman, Du…