{"title":"m点非局部边界条件下Helmholtz方程最优控制问题的数学解","authors":"M. Abashidze, V. Beridze","doi":"10.1109/EWDTS.2018.8524137","DOIUrl":null,"url":null,"abstract":"The paper deals with optimal control problems whose behavior is described by Helmholtz equation with Bitsadze-Samarski m-point nonlocal boundary conditions. The theorem about a necessary and sufficient optimality condition is given. A numerical method of the solution of an optimal problem by means of the Mathcad package is presented.","PeriodicalId":127240,"journal":{"name":"2018 IEEE East-West Design & Test Symposium (EWDTS)","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Solution of an Optimal Control Problem for Helmholtz Equations with m- Point Nonlocal Boundary Conditions by Means Mathcad\",\"authors\":\"M. Abashidze, V. Beridze\",\"doi\":\"10.1109/EWDTS.2018.8524137\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper deals with optimal control problems whose behavior is described by Helmholtz equation with Bitsadze-Samarski m-point nonlocal boundary conditions. The theorem about a necessary and sufficient optimality condition is given. A numerical method of the solution of an optimal problem by means of the Mathcad package is presented.\",\"PeriodicalId\":127240,\"journal\":{\"name\":\"2018 IEEE East-West Design & Test Symposium (EWDTS)\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 IEEE East-West Design & Test Symposium (EWDTS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/EWDTS.2018.8524137\",\"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 IEEE East-West Design & Test Symposium (EWDTS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/EWDTS.2018.8524137","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solution of an Optimal Control Problem for Helmholtz Equations with m- Point Nonlocal Boundary Conditions by Means Mathcad
The paper deals with optimal control problems whose behavior is described by Helmholtz equation with Bitsadze-Samarski m-point nonlocal boundary conditions. The theorem about a necessary and sufficient optimality condition is given. A numerical method of the solution of an optimal problem by means of the Mathcad package is presented.
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