Author

P. Hansbo

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Preprint Sep 2026

Normal Equations and Discrete Energy Structures for High-Order Streamline Diffusion

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 the best of our knowledge, this is the first stability and a priori error analysis of strongly consistent Streamline Diffusion finite elemen...

Erik Burman, P. Hansbo, M. G. Larson · 0 citations

Preprint Sep 2026

Structure-Preserving Augmented Lagrangian Finite Element Methods for Cavitation in Reynolds and Stokes Flows

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 conditions hold exactly and the augmentation parameter drops out of the method. For the Reynolds equation this follows from nodal quadrature in a m...

P. Hansbo, M. G. Larson · 0 citations

Preprint Sep 2026

Boundary Value Correction for the Boundary Element Method

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 diameter \(h\) on an interior surrogate boundary and corrects the imposed boundary values by a first-order Taylor expansion along the panel norma...

Erik Burman, P. Hansbo, M. G. Larson · 0 citations