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Multiscale Approximations for the Stationary Ginzburg-Landau Equation

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Finite Element Method Courses Superconductors Courses

Course Description

Overview

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Explore recent findings on discrete minimizers of the Ginzburg-Landau energy in finite element and multiscale spaces in this 44-minute lecture. Delve into the impact of the Ginzburg-Landau parameter $\kappa$ on superconductors, particularly its role in triggering vortex lattices. Learn about the importance of translating $\kappa$ into mesh resolution conditions through error estimates that explicitly consider both $\kappa$ and the spatial mesh width $h$. Examine analytical results for Lagrange finite elements, uncovering a previously unknown numerical pollution effect. Discover how multiscale techniques can enhance approximation properties in solving the stationary Ginzburg-Landau equation.

Syllabus

Patrick Henning: Multiscale approximations for the stationary Ginzburg-Landau equation


Taught by

Hausdorff Center for Mathematics

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