{"title":"带有摩擦条件的非线性亨茨基材料热弹性接触问题的最佳收敛性","authors":"H. EL Khalfi, Z. Faiz, O. Baiz, H. Benaissa","doi":"10.1007/s40995-024-01677-x","DOIUrl":null,"url":null,"abstract":"<p>We study the linear finite element approximation of thermoelastic frictional contact problem. The unilateral contact condition is weakly imposed by the penalty method. Our analysis yields error estimates that are contingent upon the penalty parameter <span>\\(\\varepsilon\\)</span> and the mesh size <i>h</i>. Furthermore, provided the solution maintains regularity, we establish a convergence result.</p>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"4 1","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimal Convergence of Thermoelastic Contact Problem Involving Nonlinear Hencky-Type Materials with Friction Conditions\",\"authors\":\"H. EL Khalfi, Z. Faiz, O. Baiz, H. Benaissa\",\"doi\":\"10.1007/s40995-024-01677-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We study the linear finite element approximation of thermoelastic frictional contact problem. The unilateral contact condition is weakly imposed by the penalty method. Our analysis yields error estimates that are contingent upon the penalty parameter <span>\\\\(\\\\varepsilon\\\\)</span> and the mesh size <i>h</i>. Furthermore, provided the solution maintains regularity, we establish a convergence result.</p>\",\"PeriodicalId\":600,\"journal\":{\"name\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"volume\":\"4 1\",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2024-08-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://doi.org/10.1007/s40995-024-01677-x\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology, Transactions A: Science","FirstCategoryId":"4","ListUrlMain":"https://doi.org/10.1007/s40995-024-01677-x","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
Optimal Convergence of Thermoelastic Contact Problem Involving Nonlinear Hencky-Type Materials with Friction Conditions
We study the linear finite element approximation of thermoelastic frictional contact problem. The unilateral contact condition is weakly imposed by the penalty method. Our analysis yields error estimates that are contingent upon the penalty parameter \(\varepsilon\) and the mesh size h. Furthermore, provided the solution maintains regularity, we establish a convergence result.
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The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences
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