{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T06:42:35Z","timestamp":1776840155846,"version":"3.51.2"},"reference-count":25,"publisher":"American Mathematical Society (AMS)","issue":"355","license":[{"start":{"date-parts":[[2025,11,8]],"date-time":"2025-11-08T00:00:00Z","timestamp":1762560000000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>We devise a projection-free iterative scheme for the approximation of harmonic maps that provides a second-order accuracy of the constraint violation and is unconditionally energy stable. A corresponding error estimate is valid under a mild but necessary discrete regularity condition. The method is based on the application of a BDF2 scheme and the considered problem serves as a model for partial differential equations with holonomic constraint. The performance of the method is illustrated via the computation of stationary harmonic maps and bending isometries.<\/p>","DOI":"10.1090\/mcom\/4035","type":"journal-article","created":{"date-parts":[[2024,10,4]],"date-time":"2024-10-04T12:55:48Z","timestamp":1728046548000},"page":"2251-2269","source":"Crossref","is-referenced-by-count":3,"title":["Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries"],"prefix":"10.1090","volume":"94","author":[{"given":"Georgios","family":"Akrivis","sequence":"first","affiliation":[]},{"given":"S\u00f6ren","family":"Bartels","sequence":"additional","affiliation":[]},{"given":"Christian","family":"Palus","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2024,11,8]]},"reference":[{"issue":"329","key":"1","doi-asserted-by":"publisher","first-page":"995","DOI":"10.1090\/mcom\/3597","article-title":"Higher-order linearly implicit full discretization of the Landau-Lifshitz-Gilbert equation","volume":"90","author":"Akrivis, Georgios","year":"2021","journal-title":"Math. 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