{"title":"Discontinuous Galerkin — High order FDTD hybridization for scattering problems","authors":"T. Volpert, Nicolas Deymier, X. Ferrières","doi":"10.1109/ROPACES.2016.7465424","DOIUrl":null,"url":null,"abstract":"In this paper we present a stable hybrid method between different numerical schemes to solve the Maxwell's equations in the time domain. In particular in this approach we have introduced a high order Galerkin Discontinuous method and a high order finite difference method. The goal of this hybridization is to take into account locally curved geometry without a too important time consuming for the resolution. The principle of the hybridization method is based on a conservation of the energy by adding special fluxes on the interface between the two schemes.","PeriodicalId":101990,"journal":{"name":"2016 IEEE/ACES International Conference on Wireless Information Technology and Systems (ICWITS) and Applied Computational Electromagnetics (ACES)","volume":"9 3","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 IEEE/ACES International Conference on Wireless Information Technology and Systems (ICWITS) and Applied Computational Electromagnetics (ACES)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ROPACES.2016.7465424","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper we present a stable hybrid method between different numerical schemes to solve the Maxwell's equations in the time domain. In particular in this approach we have introduced a high order Galerkin Discontinuous method and a high order finite difference method. The goal of this hybridization is to take into account locally curved geometry without a too important time consuming for the resolution. The principle of the hybridization method is based on a conservation of the energy by adding special fluxes on the interface between the two schemes.
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