{"title":"有限元解的有效区间法","authors":"R. Mullen, R. Muhanna","doi":"10.1109/HPCSA.2002.1019150","DOIUrl":null,"url":null,"abstract":"An efficient method for including the impact of uncertain input data along with the impact of truncation errors in finite element calculations is presented. This method is based on the theory of interval numbers. The formulation involves a predictor-corrector approach that allows for wide interval values as input and maintains sharp results during calculations. Results that illustrate the method's improved sharpness for solid mechanics problems are presented.","PeriodicalId":111862,"journal":{"name":"Proceedings 16th Annual International Symposium on High Performance Computing Systems and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Efficient interval methods for finite element solutions\",\"authors\":\"R. Mullen, R. Muhanna\",\"doi\":\"10.1109/HPCSA.2002.1019150\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An efficient method for including the impact of uncertain input data along with the impact of truncation errors in finite element calculations is presented. This method is based on the theory of interval numbers. The formulation involves a predictor-corrector approach that allows for wide interval values as input and maintains sharp results during calculations. Results that illustrate the method's improved sharpness for solid mechanics problems are presented.\",\"PeriodicalId\":111862,\"journal\":{\"name\":\"Proceedings 16th Annual International Symposium on High Performance Computing Systems and Applications\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2002-06-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings 16th Annual International Symposium on High Performance Computing Systems and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/HPCSA.2002.1019150\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 16th Annual International Symposium on High Performance Computing Systems and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/HPCSA.2002.1019150","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Efficient interval methods for finite element solutions
An efficient method for including the impact of uncertain input data along with the impact of truncation errors in finite element calculations is presented. This method is based on the theory of interval numbers. The formulation involves a predictor-corrector approach that allows for wide interval values as input and maintains sharp results during calculations. Results that illustrate the method's improved sharpness for solid mechanics problems are presented.