Approximation of fractional harmonic maps
نویسندگان
چکیده
Abstract This paper addresses the approximation of fractional harmonic maps. Besides a unit-length constraint, one has to tackle difficulty nonlocality. We establish weak compactness results for critical points Dirichlet energy on vector fields. devise and analyze numerical methods various partial differential equations related The imply convergence approximations. Numerical examples spin chain dynamics point defects are presented demonstrate effectiveness proposed methods.
منابع مشابه
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ژورنال
عنوان ژورنال: Ima Journal of Numerical Analysis
سال: 2022
ISSN: ['1464-3642', '0272-4979']
DOI: https://doi.org/10.1093/imanum/drac029