49 citations · 116 across the 30 of their papers we have counts for
5 papers · 1 filter
Generalized finite element methods for quadratic eigenvalue problems
Axel Målqvist, Daniel Peterseim
We consider a large-scale quadratic eigenvalue problem (QEP), formulated using P1 finite elements on a fine scale reference mesh. This model describes damped vibrations in a struct…
Multiscale methods for problems with complex geometry
Daniel Elfverson, Mats G. Larson, Axel Målqvist
We propose a multiscale method for elliptic problems on complex domains, e.g. domains with cracks or complicated boundary. For local singularities this paper also offers a discrete…
Multiscale techniques for parabolic equations
Axel Målqvist, Anna Persson
We use the local orthogonal decomposition technique to derive a generalized finite element method for linear and semilinear parabolic equations with spatial multiscale diffusion co…
The Finite Element Method for the time-dependent Gross-Pitaevskii equation with angular momentum rotation
Patrick Henning, Axel Målqvist
We consider the time-dependent Gross-Pitaevskii equation describing the dynamics of rotating Bose-Einstein condensates and its discretization with the finite element method. We ana…
Multiscale mixed finite elements
Fredrik Hellman, Patrick Henning, Axel Målqvist
In this work, we propose a mixed finite element method for solving elliptic multiscale problems based on a localized orthogonal decomposition (LOD) of Raviart-Thomas finite element…