{"title":"无界三角形椭圆方程组边界问题的边界积分方程方法","authors":"S. Litynskyy, Yuriy Muzychuk, A. Muzychuk","doi":"10.1109/DIPED.2009.5306940","DOIUrl":null,"url":null,"abstract":"A two-sided inverse of the differential operator for the unbounded system of elliptic equations on Lipshitz domains was obtained. It was based on a special convolution of sequences. The Dirichlet and Neumann problems for the unbounded systems were reduced to the systems of Fredholm integral equations of either the first kind or the second kind. All equations in integral systems distinguish only by their right hand sides and allow applying the recurrent procedure for the numerical solution.","PeriodicalId":404875,"journal":{"name":"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","volume":"64 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Boundary integral equations method in boundary problems for unbounded triangular system of elliptical equations\",\"authors\":\"S. Litynskyy, Yuriy Muzychuk, A. Muzychuk\",\"doi\":\"10.1109/DIPED.2009.5306940\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A two-sided inverse of the differential operator for the unbounded system of elliptic equations on Lipshitz domains was obtained. It was based on a special convolution of sequences. The Dirichlet and Neumann problems for the unbounded systems were reduced to the systems of Fredholm integral equations of either the first kind or the second kind. All equations in integral systems distinguish only by their right hand sides and allow applying the recurrent procedure for the numerical solution.\",\"PeriodicalId\":404875,\"journal\":{\"name\":\"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory\",\"volume\":\"64 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-10-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DIPED.2009.5306940\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.2009.5306940","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Boundary integral equations method in boundary problems for unbounded triangular system of elliptical equations
A two-sided inverse of the differential operator for the unbounded system of elliptic equations on Lipshitz domains was obtained. It was based on a special convolution of sequences. The Dirichlet and Neumann problems for the unbounded systems were reduced to the systems of Fredholm integral equations of either the first kind or the second kind. All equations in integral systems distinguish only by their right hand sides and allow applying the recurrent procedure for the numerical solution.
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