4 citations · 7 across the 8 of their papers we have counts for
15 papers · 1 filter
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…
Hybridized Augmented Lagrangian Methods for Contact Problems
Erik Burman, Peter Hansbo, Mats G. Larson
This paper addresses the problem of friction-free contact between two elastic bodies. We develop an augmented Lagrangian method that provides computational convenience by reformula…