learned local maps 1manifold reconstruction 1multiscale methods 1nonlinear elliptic PDEs 1partition of unity 1tangent-space test functions 1
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math.NA2026
Tangent-Space Multiscale Manifold Methods for Nonlinear Elliptic Problems
Mats G. Larson, Anna Persson
The paper proposes a tangent‑space multiscale manifold method that reconstructs fine‑scale solutions of heterogeneous nonlinear elliptic problems from a coarse state using localize…
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…