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math.NA2026
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…
math.NA2026
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…