{"abstract":[{"lang":"eng","text":"Abstract\r\n 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."}],"publication":"IMA Journal of Numerical Analysis","citation":{"apa":"Bartels, S., Kovács, B., & Wang, Z. (2023). Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/drad037","ieee":"S. Bartels, B. Kovács, and Z. Wang, “Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints,” IMA Journal of Numerical Analysis, 2023, doi: 10.1093/imanum/drad037.","chicago":"Bartels, Sören, Balázs Kovács, and Zhangxian Wang. “Error Analysis for the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.” IMA Journal of Numerical Analysis, 2023. https://doi.org/10.1093/imanum/drad037.","mla":"Bartels, Sören, et al. “Error Analysis for the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.” IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2023, doi:10.1093/imanum/drad037.","short":"S. Bartels, B. Kovács, Z. Wang, IMA Journal of Numerical Analysis (2023).","ama":"Bartels S, Kovács B, Wang Z. Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. IMA Journal of Numerical Analysis. Published online 2023. doi:10.1093/imanum/drad037","bibtex":"@article{Bartels_Kovács_Wang_2023, title={Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints}, DOI={10.1093/imanum/drad037}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Bartels, Sören and Kovács, Balázs and Wang, Zhangxian}, year={2023} }"},"_id":"45971","status":"public","doi":"10.1093/imanum/drad037","date_updated":"2024-04-03T09:15:27Z","date_created":"2023-07-10T12:32:10Z","year":"2023","publication_identifier":{"issn":["0272-4979","1464-3642"]},"title":"Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints","author":[{"first_name":"Sören","full_name":"Bartels, Sören","last_name":"Bartels"},{"full_name":"Kovács, Balázs","last_name":"Kovács","id":"100441","orcid":"0000-0001-9872-3474","first_name":"Balázs"},{"first_name":"Zhangxian","last_name":"Wang","full_name":"Wang, Zhangxian"}],"publication_status":"published","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"user_id":"100441","language":[{"iso":"eng"}],"publisher":"Oxford University Press (OUP)","type":"journal_article","department":[{"_id":"841"}]}