{"title":"单侧问题的混合变分公式","authors":"J. Haslinger, J. Lovísek","doi":"10.1515/9783112484326-035","DOIUrl":null,"url":null,"abstract":"The mixed variational formulation of unilateral boundary value problems is derived and its finite element approximation is studied. Provided, the exact solution is smooth enough, the rate of convergence for both, the primal quantity as well as for associated Lagrange multiplier is obtained. Algorithm for effective computation is proposed.","PeriodicalId":16580,"journal":{"name":"Journal of Nonlinear Analysis and Optimization: Theory & Applications","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1981-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":"{\"title\":\"Mixed variational formulation of unilateral problems\",\"authors\":\"J. Haslinger, J. Lovísek\",\"doi\":\"10.1515/9783112484326-035\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The mixed variational formulation of unilateral boundary value problems is derived and its finite element approximation is studied. Provided, the exact solution is smooth enough, the rate of convergence for both, the primal quantity as well as for associated Lagrange multiplier is obtained. Algorithm for effective computation is proposed.\",\"PeriodicalId\":16580,\"journal\":{\"name\":\"Journal of Nonlinear Analysis and Optimization: Theory & Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1981-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"18\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nonlinear Analysis and Optimization: Theory & Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/9783112484326-035\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nonlinear Analysis and Optimization: Theory & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/9783112484326-035","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mixed variational formulation of unilateral problems
The mixed variational formulation of unilateral boundary value problems is derived and its finite element approximation is studied. Provided, the exact solution is smooth enough, the rate of convergence for both, the primal quantity as well as for associated Lagrange multiplier is obtained. Algorithm for effective computation is proposed.
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