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math.NA2024
Vortex-capturing multiscale spaces for the Ginzburg-Landau equation
Maria Blum, Christian Döding, Patrick Henning
This paper considers minimizers of the Ginzburg-Landau energy functional in special multiscale spaces that are based on finite elements. The spaces are constructed by localized ort…
math.NA2024
Localized Orthogonal Decomposition Methods vs. Classical FEM for the Gross-Pitaevskii Equation
Christian Döding
The time-dependent Gross-Pitaevksii equation (GPE) is a nonlinear Schrödinger equation which is used in quantum physics to model the dynamics of Bose-Einstein condensates. In this…