乐胖代购免代理版

{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,14]],"date-time":"2024-05-14T00:36:30Z","timestamp":1715646990123},"reference-count":47,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2024,5,13]],"date-time":"2024-05-13T00:00:00Z","timestamp":1715558400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Talent Project of Tianchi Doctoral Program in Xinjiang Uygur Autonomous Region","award":["5105240152n"]},{"name":"Natural Science Foundation of Xinjiang Uygur Autonomous Region","award":["2023D14014"]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"This paper investigates a novel C0 nonconforming virtual element method (VEM) for solving the Kirchhoff plate obstacle problem, which is described by a fourth-order variational inequality (VI) of the first kind. In our study, we distinguish our approach by introducing new internal degrees of freedom to the traditional lowest-order C0 nonconforming VEM, which originally lacked such degrees. This addition not only facilitates error estimation but also enhances its intuitiveness. Importantly, our novel C0 nonconforming VEM naturally satisfies the constraints of the obstacle problem. We then establish an a priori error estimate for our novel C0 nonconforming VEM, with the result indicating that the lowest order of our method achieves optimal convergence. Finally, we present a numerical example to validate the theoretical result.<\/jats:p>","DOI":"10.3390\/axioms13050322","type":"journal-article","created":{"date-parts":[[2024,5,13]],"date-time":"2024-05-13T15:18:17Z","timestamp":1715613497000},"page":"322","source":"Crossref","is-referenced-by-count":0,"title":["A C0 Nonconforming Virtual Element Method for the Kirchhoff Plate Obstacle Problem"],"prefix":"10.3390","volume":"13","author":[{"given":"Bangmin","family":"Wu","sequence":"first","affiliation":[{"name":"College of Mathematics and Systems Science, Xinjiang University, Urumqi 830017, China"}]},{"given":"Jiali","family":"Qiu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,5,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1016\/j.cma.2016.05.008","article-title":"Variational formulation and isogeometric analysis for fourth-order boundary value problems of gradient-elastic bar and plane strain\/stress problems","volume":"308","author":"Niiranen","year":"2016","journal-title":"Comput. 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