106 citations · 565 across the 59 of their papers we have counts for
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Boundary Value Correction for the Boundary Element Method
Erik Burman, Peter Hansbo, Mats G. Larson
We develop a boundary element method for the Laplace equation with Dirichlet boundary conditions in a bounded three-dimensional domain. The method uses flat panels of maximum diame…
Structure-Preserving Augmented Lagrangian Finite Element Methods for Cavitation in Reynolds and Stokes Flows
Peter Hansbo, Mats G. Larson
In this paper we propose augmented Lagrangian finite element methods for cavitation in the Reynolds and Stokes models of lubrication, for which the discrete complementarity conditi…
Normal Equations and Discrete Energy Structures for High-Order Streamline Diffusion
Erik Burman, Peter Hansbo, Mats G. Larson
We analyse fully discrete Streamline Diffusion finite element methods, also known as SUPG methods, for time-dependent first-order systems with skew-symmetric spatial operators. To…
A Barrier-Regularized Symmetric Nitsche Method for the Signorini Problem
Peter Hansbo, Mats G. Larson
We introduce and analyze a barrier-regularized symmetric Nitsche method for the scalar Signorini problem. Applying a logarithmic barrier to the nonnegative slack variable in an aug…
Nonconforming -FE/BE coupling on unstructured meshes based on Nitsche's method
Alexey Chernov, Peter Hansbo, Erik Marc Schetzke
We construct and analyse a -FE/BE coupling on non-matching meshes, based on Nitsche's method. Both the mesh size and the polynomial degree are changed to improve accuracy. Nits…
Cut Finite Element Methods for Convection-Diffusion in Mixed-Dimensional Domains
Erik Burman, Peter Hansbo, Mats G. Larson +2
We develop a cut finite element method (CutFEM) for convection--diffusion problems posed on mixed-dimensional domains, i.e., unions of manifolds of different dimensions arranged in…