一类三阶奇异摄动问题的梯度网格局部不连续Galerkin方法

IF 2.3 4区工程技术 Q1 MATHEMATICS, APPLIED Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik Pub Date : 2023-06-28 DOI:10.1002/zamm.202300238

Li Yan, Yao Cheng

{"title":"一类三阶奇异摄动问题的梯度网格局部不连续Galerkin方法","authors":"Li Yan, Yao Cheng","doi":"10.1002/zamm.202300238","DOIUrl":null,"url":null,"abstract":"We consider the local discontinuous Galerkin (LDG) method for a third order singularly perturbed problem with different kinds of boundary layer. On graded Duran‐Shishkin and Duran type meshes, we prove optimal order error estimate in the energy‐norm which is valid uniformly up to a logarithmic factor. Numerical experiments are given to confirm our theoretical findings.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":"167 1","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2023-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Local discontinuous Galerkin method on graded meshes for a third‐order singularly perturbed problem\",\"authors\":\"Li Yan, Yao Cheng\",\"doi\":\"10.1002/zamm.202300238\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the local discontinuous Galerkin (LDG) method for a third order singularly perturbed problem with different kinds of boundary layer. On graded Duran‐Shishkin and Duran type meshes, we prove optimal order error estimate in the energy‐norm which is valid uniformly up to a logarithmic factor. Numerical experiments are given to confirm our theoretical findings.\",\"PeriodicalId\":23924,\"journal\":{\"name\":\"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik\",\"volume\":\"167 1\",\"pages\":\"\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2023-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1002/zamm.202300238\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1002/zamm.202300238","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Local discontinuous Galerkin method on graded meshes for a third‐order singularly perturbed problem

We consider the local discontinuous Galerkin (LDG) method for a third order singularly perturbed problem with different kinds of boundary layer. On graded Duran‐Shishkin and Duran type meshes, we prove optimal order error estimate in the energy‐norm which is valid uniformly up to a logarithmic factor. Numerical experiments are given to confirm our theoretical findings.

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

Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik 数学-力学

CiteScore

3.30

自引率

8.70%

发文量

199

审稿时长

3.0 months

期刊介绍： ZAMM is one of the oldest journals in the field of applied mathematics and mechanics and is read by scientists all over the world. The aim and scope of ZAMM is the publication of new results and review articles and information on applied mathematics (mainly numerical mathematics and various applications of analysis, in particular numerical aspects of differential and integral equations), on the entire field of theoretical and applied mechanics (solid mechanics, fluid mechanics, thermodynamics). ZAMM is also open to essential contributions on mathematics in industrial applications.