106 citations · 948 across the 81 of their papers we have counts for
99 papers
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…
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…
Implicit Hypersurface Approximation Capacity in Deep ReLU Networks
Jonatan Vallin, Karl Larsson, Mats G. Larson
We develop a geometric approximation theory for deep feed-forward neural networks with ReLU activations. Given a -dimensional hypersurface in represented as t…