{"title":"基于梯度平均技术的线性泛函误差控制","authors":"S. Korotov","doi":"10.1163/157404007779994241","DOIUrl":null,"url":null,"abstract":"We show how commonly used gradient averaging techniques can be successfully applied to estimation of computational errors evaluated by linear (goal-oriented) functionals for linear elliptic type problems. General scheme for construction of corresponding estimators is described and effectivity of the proposed approach is demonstrated in numerical tests.","PeriodicalId":101169,"journal":{"name":"Soft Computing Letters","volume":"164 1","pages":"35-44"},"PeriodicalIF":0.0000,"publicationDate":"2007-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Error Control in Terms of Linear Functionals Based on Gradient Averaging Techniques\",\"authors\":\"S. Korotov\",\"doi\":\"10.1163/157404007779994241\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show how commonly used gradient averaging techniques can be successfully applied to estimation of computational errors evaluated by linear (goal-oriented) functionals for linear elliptic type problems. General scheme for construction of corresponding estimators is described and effectivity of the proposed approach is demonstrated in numerical tests.\",\"PeriodicalId\":101169,\"journal\":{\"name\":\"Soft Computing Letters\",\"volume\":\"164 1\",\"pages\":\"35-44\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-03-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Soft Computing Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1163/157404007779994241\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Soft Computing Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1163/157404007779994241","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Error Control in Terms of Linear Functionals Based on Gradient Averaging Techniques
We show how commonly used gradient averaging techniques can be successfully applied to estimation of computational errors evaluated by linear (goal-oriented) functionals for linear elliptic type problems. General scheme for construction of corresponding estimators is described and effectivity of the proposed approach is demonstrated in numerical tests.