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

Bartels, Soeren and Kovacs, Balazs and Wang, Zhangxian (2023) Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. IMA JOURNAL OF NUMERICAL ANALYSIS. ISSN 0272-4979, 1464-3642

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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.

Item Type: Article
Uncontrolled Keywords: FINITE-ELEMENT DISCRETIZATION; CONVERGENCE; SCHEME; STABILITY; SPHERES; EULER; harmonic maps; heat flow; finite elements; constraints; error analysis
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 20 Mar 2024 06:57
Last Modified: 20 Mar 2024 06:57
URI: https://pred.uni-regensburg.de/id/eprint/60232

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