{"title":"过滤问题混合变分形式离散类似物的多级方法修正","authors":"E. Shurina, N. B. Itkina, S. A. Trofimova","doi":"10.1109/APEIE.2018.8545668","DOIUrl":null,"url":null,"abstract":"A mixed variational formulation based on a discontinuous Galerkin method for solving the Darcy problem using two hierarchical basis systems in Hdiv (Ω) space and a basis system in L2(Ω) space is considered. The algebraic multilevel iteration method for the system of linear algebraic equations obtained as a result of discretization is analyzed.","PeriodicalId":147830,"journal":{"name":"2018 XIV International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE)","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Multilevel Method Modifications for Discrete Analogues of Mixed Variational Formulations of the Filtration Problem\",\"authors\":\"E. Shurina, N. B. Itkina, S. A. Trofimova\",\"doi\":\"10.1109/APEIE.2018.8545668\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A mixed variational formulation based on a discontinuous Galerkin method for solving the Darcy problem using two hierarchical basis systems in Hdiv (Ω) space and a basis system in L2(Ω) space is considered. The algebraic multilevel iteration method for the system of linear algebraic equations obtained as a result of discretization is analyzed.\",\"PeriodicalId\":147830,\"journal\":{\"name\":\"2018 XIV International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE)\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 XIV International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/APEIE.2018.8545668\",\"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 XIV International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APEIE.2018.8545668","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Multilevel Method Modifications for Discrete Analogues of Mixed Variational Formulations of the Filtration Problem
A mixed variational formulation based on a discontinuous Galerkin method for solving the Darcy problem using two hierarchical basis systems in Hdiv (Ω) space and a basis system in L2(Ω) space is considered. The algebraic multilevel iteration method for the system of linear algebraic equations obtained as a result of discretization is analyzed.