18 citations · 34 across the 10 of their papers we have counts for
13 papers
Tangent-Space Multiscale Manifold Methods for Nonlinear Elliptic Problems
Mats G. Larson, Anna Persson
We introduce a tangent-space multiscale manifold method for nonlinear heterogeneous elliptic problems. The method represents the fine-scale solution by a nonlinear reconstruction o…
Numerical vortex resolution for the Gross-Pitaevskii equation in the rapid rotation Thomas-Fermi scaling
Patrick Henning, Anna Persson, Christos Pilichos
In this paper we analyze finite element approximations of ground states of the Gross-Pitaevskii equation in the rapid rotation Thomas-Fermi scaling. In this regime, the healing len…
Learning Nonlinear Finite Element Solution Operators using Multilayer Perceptrons and Energy Minimization
Mats G. Larson, Carl Lundholm, Anna Persson
We develop and evaluate a method for learning solution operators to nonlinear problems governed by partial differential equations (PDEs). The approach is based on a finite element…
On optimal convergence rates for discrete minimizers of the Gross-Pitaevskii energy in LOD spaces
Patrick Henning, Anna Persson
In this paper we revisit a two-level discretization based on the Localized Orthogonal Decomposition (LOD). It was originally proposed in [P.Henning, A.Målqvist, D.Peterseim. SIAM J…
A generalized finite element method for the strongly damped wave equation with rapidly varying data
Per Ljung, Axel Målqvist, Anna Persson
We propose a generalized finite element method for the strongly damped wave equation with highly varying coefficients. The proposed method is based on the localized orthogonal deco…
Computational homogenization of time-harmonic Maxwell's equations
Patrick Henning, Anna Persson
In this paper we consider a numerical homogenization technique for curl-curl-problems that is based on the framework of the Localized Orthogonal Decomposition and which was propose…