{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T17:58:42Z","timestamp":1788285522774,"version":"build-2803163510"},"reference-count":17,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2022,8]]},"abstract":"<jats:p>We present a fully discrete convergent finite difference scheme for the Q-tensor flow of liquid crystals based on the energy-stable semidiscrete scheme by Zhao et al. [ Comput. Methods Appl. Mech. Engrg., 2017, pp. 803--825]. We prove stability properties of the scheme and show convergence to weak solutions of the Q-tensor flow equations. We demonstrate the performance of the scheme in numerical simulations.<\/jats:p>","DOI":"10.1137\/20m1383550","type":"journal-article","created":{"date-parts":[[2022,8,15]],"date-time":"2022-08-15T12:58:50Z","timestamp":1660568330000},"page":"2150-2181","source":"Crossref","is-referenced-by-count":11,"title":["Convergence Analysis of a Fully Discrete Energy-Stable Numerical Scheme for the Q-Tensor Flow of Liquid Crystals"],"prefix":"10.1137","volume":"60","author":[{"given":"Varun M.","family":"Gudibanda","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Franziska","family":"Weber","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yukun","family":"Yue","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2022,8,15]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1080\/15421406.2017.1289425"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1093\/oso\/9780195076943.001.0001"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202517500245"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1007\/s00332-018-9503-9"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1063\/1.2808028"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1021\/j100361a020"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202515500396"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1143\/JJAP.38.135"},{"key":"atypb9","volume-title":"Introduction to Q-Tensor Theory, https:\/\/arxiv.org\/abs\/1409.3542","author":"Mottram N. J.","year":"2014"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1137\/17M1150153"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-87815-7"},{"key":"atypb12","volume-title":"Navier---Stokes Equations: Theory and Numerical Analysis","author":"Temam R.","year":"1985"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevFluids.2.053302"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2016014"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-017-1111-6"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0072149"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2017.01.031"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/20M1383550","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T16:02:27Z","timestamp":1787328147000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/20M1383550"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8]]},"references-count":17,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2022,8]]}},"alternative-id":["10.1137\/20M1383550"],"URL":"https:\/\/doi.org\/10.1137\/20m1383550","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,8]]}}}