Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints-Reference-Cited by-同舟云学术

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

Published:2023-06-08 Issue: Volume: Page:
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Bartels Sören¹,Kovács Balázs²,Wang Zhangxian¹

Affiliation:

1. Abteilung für Angewandte Mathematik, Albert-Ludwigs-Universität Freiburg , Hermann-Herder-Str. 10, 79104 Freiburg i. Br., Germany

2. Faculty of Mathematics, Technical University of Munich , Boltzmannstr. 3, 85748 Garching bei München, Germany, and Faculty of Mathematics, University of Regensburg, Universitätsstr. 31, 93040 Regensburg, Germany

Abstract

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.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Link

https://academic.oup.com/imajna/advance-article-pdf/doi/10.1093/imanum/drad037/50541153/drad037.pdf

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