A nonlinear consistent penalty method weakly enforcing positivity in the finite element approximation of the transport equation

Erik Burman , Alexandre Ern
Computer Methods in Applied Mechanics and Engineering 320 122 -132

3
2017
A Cut Finite Element Method for the Bernoulli Free Boundary Value Problem

Erik Burman , Daniel Elfverson , Peter Hansbo , Mats G. Larson
Computer Methods in Applied Mechanics and Engineering 317 598 -618

7
2017
Galerkin least squares finite element method for the obstacle problem

Erik Burman , Peter Hansbo , Mats G. Larson , Rolf Stenberg
Computer Methods in Applied Mechanics and Engineering 313 362 -374

11
2017
Full gradient stabilized cut finite element methods for surface partial differential equations

Erik Burman , Peter Hansbo , Mats G. Larson , André Massing
Computer Methods in Applied Mechanics and Engineering 310 278 -296

19
2016
Blending low-order stabilised finite element methods: A positivity-preserving local projection method for the convection–diffusion equation

Gabriel R. Barrenechea , Erik Burman , Fotini Karakatsani
Computer Methods in Applied Mechanics and Engineering 317 1169 -1193

4
2017
Shape optimization using the cut finite element method

Erik Burman , Daniel Elfverson , Peter Hansbo , Mats G. Larson
Computer Methods in Applied Mechanics and Engineering 328 242 -261

40
2018
Cut topology optimization for linear elasticity with coupling to parametric nondesign domain regions

Peter Hansbo , Mats G. Larson , Karl Larsson , Erik Burman
Computer Methods in Applied Mechanics and Engineering 350 462 -479

9
2019
A stabilized cut streamline diffusion finite element method for convection–diffusion problems on surfaces

Erik Burman , Peter Hansbo , Mats G. Larson , André Massing
Computer Methods in Applied Mechanics and Engineering 358 112645

1
2020
A stable cut finite element method for partial differential equations on surfaces: The Helmholtz-Beltrami operator

Erik Burman , Peter Hansbo , Mats G. Larson , André Massing
Computer Methods in Applied Mechanics and Engineering 362 112803

2020
Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics

Erik Burman , Snorre H. Christiansen , Peter Hansbo
Computer Methods in Applied Mechanics and Engineering 369 113224

7
2020
Unique continuation for the Helmholtz equation using stabilized finite element methods

Erik Burman , Mihai Nechita , Lauri Oksanen
Journal de Mathématiques Pures et Appliquées 129 1 -22

8
2019
Local CIP Stabilization for Composite Finite Elements

Erik Burman , Friedhelm Schieweck
SIAM Journal on Numerical Analysis 54 ( 3) 1967 -1992

7
2016
The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem

Erik Burman , Peter Hansbo , Mats G. Larson
SIAM Journal on Numerical Analysis 55 ( 6) 2523 -2539

10
2017
CutFEM: Discretizing geometry and partial differential equations

Erik Burman , Susanne Claus , Peter Hansbo , Mats G. Larson
International Journal for Numerical Methods in Engineering 104 ( 7) 472 -501

640
2015
Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling

Erik Burman , Miguel A. Fernández
International Journal for Numerical Methods in Engineering 97 ( 10) 739 -758

39
2014
Augmented Lagrangian and Galerkin least-squares methods for membrane contact

Erik Burman , Peter Hansbo , Mats G. Larson
International Journal for Numerical Methods in Engineering 114 ( 11) 1179 -1191

4
2018
Error estimates for transport problems with high Péclet number using a continuous dependence assumption

Erik Burman , Isaac P. Santos
Journal of Computational and Applied Mathematics 309 267 -286

2
2017
Edge stabilization for Galerkin approximations of convection?diffusion?reaction problems

Erik Burman , Peter Hansbo
Computer Methods in Applied Mechanics and Engineering 193 ( 15) 1437 -1453

215
2004
Explicit Runge–Kutta Schemes and Finite Elements with Symmetric Stabilization for First-Order Linear PDE Systems

Erik Burman , Alexandre Ern , Miguel A. Fernández
SIAM Journal on Numerical Analysis 48 ( 6) 2019 -2042

42
2010
A finite element time relaxation method

Roland Becker , Erik Burman , Peter Hansbo
Comptes Rendus Mathematique 349 353 -356

6
2011