{"title":"各向异性奇异扰动椭圆问题的保形 Galerkin 方法的均匀估计值","authors":"David Maltese, Chokri Ogabi","doi":"10.1080/00036811.2024.2304635","DOIUrl":null,"url":null,"abstract":"In this article, we study some anisotropic singular perturbations for a class of linear elliptic problems. A uniform estimates for conforming Q1 finite element method are derived, and some other re...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2024-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Uniform estimates for conforming Galerkin method for anisotropic singularly perturbed elliptic problems\",\"authors\":\"David Maltese, Chokri Ogabi\",\"doi\":\"10.1080/00036811.2024.2304635\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we study some anisotropic singular perturbations for a class of linear elliptic problems. A uniform estimates for conforming Q1 finite element method are derived, and some other re...\",\"PeriodicalId\":55507,\"journal\":{\"name\":\"Applicable Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-01-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applicable Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00036811.2024.2304635\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applicable Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00036811.2024.2304635","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Uniform estimates for conforming Galerkin method for anisotropic singularly perturbed elliptic problems
In this article, we study some anisotropic singular perturbations for a class of linear elliptic problems. A uniform estimates for conforming Q1 finite element method are derived, and some other re...
期刊介绍：
Applicable Analysis is concerned primarily with analysis that has application to scientific and engineering problems. Papers should indicate clearly an application of the mathematics involved. On the other hand, papers that are primarily concerned with modeling rather than analysis are outside the scope of the journal
General areas of analysis that are welcomed contain the areas of differential equations, with emphasis on PDEs, and integral equations, nonlinear analysis, applied functional analysis, theoretical numerical analysis and approximation theory. Areas of application, for instance, include the use of homogenization theory for electromagnetic phenomena, acoustic vibrations and other problems with multiple space and time scales, inverse problems for medical imaging and geophysics, variational methods for moving boundary problems, convex analysis for theoretical mechanics and analytical methods for spatial bio-mathematical models.
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