4 citations · 7 across the 11 of their papers we have counts for
20 papers · 1 filter
On the Design of Locking Free Ghost Penalty Stabilization and the Relation to CutFEM with Discrete Extension
Erik Burman, Peter Hansbo, Mats G. Larson
In this note, we develop a new stabilization mechanism for cut finite element methods that generalizes previous approaches of ghost penalty type in two ways: (1) The quantity that…
Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: unified analysis for parabolic/parabolic and parabolic/hyperbolic problems
Erik Burman, Rebecca Durst, Miguel Fernández +1
We present a loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling conditions. We apply a novel unified analysis for this scheme applied to both a Para…
Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow
Erik Burman, Riccardo Puppi
We propose two different discrete formulations for the weak imposition of the Neumann boundary conditions of the Darcy flow. The Raviart-Thomas mixed finite element on both triangu…
Weighted error estimates for transient transport problems discretized using continuous finite elements with interior penalty stabilization on the gradient jumps
Erik Burman
In this paper we consider the semi-discretization in space of a first order scalar transport equation. For the space discretization we use standard continuous finite elements. To o…
CutFEM Based on Extended Finite Element Spaces
Erik Burman, Peter Hansbo, Mats G. Larson
We develop a general framework for construction and analysis of discrete extension operators with application to unfitted finite element approximation of partial differential equat…
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty
Erik Burman, Johnny Guzman
We consider a finite element method with symmetric stabilisation for the discretisation of the transient convection--diffusion equation. For the time-discretisation we consider eit…