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

08/17/2022

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by   Sören Bartels, et al.

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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.