106 citations · 530 across the 81 of their papers we have counts for
6 papers · 2 filters
Stabilised finite element methods for ill-posed problems with conditional stability
Erik Burman
In this paper we discuss the adjoint stabilised finite element method introduced in, E. Burman, Stabilized finite element methods for nonsymmetric, noncoercive and ill-posed proble…
Stabilized CutFEM for the Convection Problem on Surfaces
Erik Burman, Peter Hansbo, Mats G. Larson +1
We develop a stabilized cut finite element method for the convection problem on a surface based on continuous piecewise linear approximation and gradient jump stabilization terms.…
Edge-based nonlinear diffusion for finite element approximations of convection-diffusion equations and its relation to algebraic flux-correction schemes
Gabriel R. Barrenechea, Erik Burman, Fotini Karakatsani
For the case of approximation of convection--diffusion equations using piecewise affine continuous finite elements a new edge-based nonlinear diffusion operator is proposed that ma…
Finite Element Approximation of the Laplace-Beltrami Operator on a Surface with Boundary
E. Burman, P. Hansbo, M. G. Larson +2
We develop a finite element method for the Laplace-Beltrami operator on a surface with boundary and nonhomogeneous Dirichlet boundary conditions. The method is based on a triangula…
A Cut Discontinuous Galerkin Method for the Laplace-Beltrami Operator
Erik Burman, Peter Hansbo, Mats G. Larson +1
We develop a discontinuous cut finite element method (CutFEM) for the Laplace-Beltrami operator on a hypersurface embedded in . The method is constructed by using a d…
A Cut Finite Element Method with Boundary Value Correction
Erik Burman, Peter Hansbo, Mats G. Larson
In this contribution we develop a cut finite element method with boundary value correction of the type originally proposed by Bramble, Dupont, and Thomee. The cut finite element me…