Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints

2022/08/17 by Sören Bartels, Balázs Kovács, Bartels, Sören +3 · 4 citations
Mathematics · Engineering · #Numerical methods in inverse problems #Advanced Numerical Methods in Computational Mathematics #Advanced Numerical Analysis Techniques

paper · doi:10.48550/arxiv.2208.08267

Abstract

An error estimate for a canonical discretization of the harmonic map heat flow into spheres is derived. The numerical scheme uses standard finite elements with a nodal treatment of linearized unit-length constraints. The analysis is based on elementary approximation results and only uses the discrete weak formulation.

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