半离散半线性抛物型问题的后验误差分析

2018 Al-Mansour International Conference on New Trends in Computing, Communication, and Information Technology (NTCCIT) Pub Date : 2018-11-01 DOI:10.1109/NTCCIT.2018.8681193

Mohammad Sabawi

{"title":"半离散半线性抛物型问题的后验误差分析","authors":"Mohammad Sabawi","doi":"10.1109/NTCCIT.2018.8681193","DOIUrl":null,"url":null,"abstract":"Optimal order a posteriori error bounds in $L_{\\infty }(L_{2})$ norm are derived for semidiscrete semilinear parabolic problems using various assumptions on the forcing term. Standard continuous Galerkin (conforming) finite element method is employed. Our main tools in deriving these error estimates are the elliptic reconstruction technique, with the aid of Grönwall’s lemma and continuation argument.","PeriodicalId":123568,"journal":{"name":"2018 Al-Mansour International Conference on New Trends in Computing, Communication, and Information Technology (NTCCIT)","volume":"61 2","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"A Posteriori Error Analysis for Semidiscrete Semilinear Parabolic Problems\",\"authors\":\"Mohammad Sabawi\",\"doi\":\"10.1109/NTCCIT.2018.8681193\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Optimal order a posteriori error bounds in $L_{\\\\infty }(L_{2})$ norm are derived for semidiscrete semilinear parabolic problems using various assumptions on the forcing term. Standard continuous Galerkin (conforming) finite element method is employed. Our main tools in deriving these error estimates are the elliptic reconstruction technique, with the aid of Grönwall’s lemma and continuation argument.\",\"PeriodicalId\":123568,\"journal\":{\"name\":\"2018 Al-Mansour International Conference on New Trends in Computing, Communication, and Information Technology (NTCCIT)\",\"volume\":\"61 2\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 Al-Mansour International Conference on New Trends in Computing, Communication, and Information Technology (NTCCIT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/NTCCIT.2018.8681193\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 Al-Mansour International Conference on New Trends in Computing, Communication, and Information Technology (NTCCIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NTCCIT.2018.8681193","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 4

摘要

针对半离散半线性抛物型问题，利用强迫项的各种假设，导出了$L_{\infty }(L_{2})$范数的最优阶后验误差界。采用标准连续伽辽金(一致性)有限元法。我们推导这些误差估计的主要工具是椭圆重建技术，借助Grönwall的引理和延拓论证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A Posteriori Error Analysis for Semidiscrete Semilinear Parabolic Problems

Optimal order a posteriori error bounds in $L_{\infty }(L_{2})$ norm are derived for semidiscrete semilinear parabolic problems using various assumptions on the forcing term. Standard continuous Galerkin (conforming) finite element method is employed. Our main tools in deriving these error estimates are the elliptic reconstruction technique, with the aid of Grönwall’s lemma and continuation argument.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2018 Al-Mansour International Conference on New Trends in Computing, Communication, and Information Technology (NTCCIT)

自引率

0.00%

发文量