{"title":"用保角映射求解Stokes问题的Lichtenstein积分方程","authors":"Sándor Zsuppán","doi":"10.20312/dim.2022.09","DOIUrl":null,"url":null,"abstract":"We investigate Lichtenstein’s boundary integral equation method for the Stokes problem on a planar simply connected domain by transforming it onto the unit disc via conformal mapping. We also present some simple numerical experiments utilizing the conformal mapping as a prerequisite.","PeriodicalId":254757,"journal":{"name":"Dimenziók: matematikai közlemények","volume":"152 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Lichtenstein’s integral equation for the Stokes problem via conformal mapping\",\"authors\":\"Sándor Zsuppán\",\"doi\":\"10.20312/dim.2022.09\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate Lichtenstein’s boundary integral equation method for the Stokes problem on a planar simply connected domain by transforming it onto the unit disc via conformal mapping. We also present some simple numerical experiments utilizing the conformal mapping as a prerequisite.\",\"PeriodicalId\":254757,\"journal\":{\"name\":\"Dimenziók: matematikai közlemények\",\"volume\":\"152 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Dimenziók: matematikai közlemények\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.20312/dim.2022.09\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dimenziók: matematikai közlemények","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.20312/dim.2022.09","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Lichtenstein’s integral equation for the Stokes problem via conformal mapping
We investigate Lichtenstein’s boundary integral equation method for the Stokes problem on a planar simply connected domain by transforming it onto the unit disc via conformal mapping. We also present some simple numerical experiments utilizing the conformal mapping as a prerequisite.