106 citations · 530 across the 81 of their papers we have counts for
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A stabilized cut finite element method for partial differential equations on surfaces: The Laplace-Beltrami operator
Erik Burman, Peter Hansbo, Mats G. Larson
We consider solving the Laplace-Beltrami problem on a smooth two dimensional surface embedded into a three dimensional space meshed with tetrahedra. The mesh does not respect the s…
Stabilized finite element methods for nonsymmetric, noncoercive and ill-posed problem. Part II: hyperbolic equations
Erik Burman
In this paper we consider stabilised finite element methods for hyperbolic transport equations without coercivity. Abstract conditions for the convergence of the methods are introd…
Robust error estimates for stabilized finite element approximations of the two dimensional Navier-Stokes equations with application to implicit large eddy simulation
Erik Burman
We consider error estimates in weak parametrised norms for stabilized finite element approximations of the two-dimensional Navier-Stokes' equations. These weak norms can be related…
Robust error estimates in weak norms for advection dominated transport problems with rough data
Erik Burman
We consider mixing problems in the form of transient convection--diffusion equations with a velocity vector field with multiscale character and rough data. We assume that the veloc…