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In contrast to previous high order interface conditions, the new condition uses two second order transverse derivatives to improve the convergence of evanescent modes without deteriorating the convergence of propagating modes. An analysis using a splitting of the field into traverse electric and magnetic components demonstrates the improved convergence provided by the transmission condition. Numerical experiments demonstrate the effectiveness of the algorithm.<\/jats:p>","DOI":"10.1137\/090777220","type":"journal-article","created":{"date-parts":[[2010,12,16]],"date-time":"2010-12-16T18:11:41Z","timestamp":1292523101000},"page":"3584-3603","source":"Crossref","is-referenced-by-count":40,"title":["Nonoverlapping Domain Decomposition with Second Order Transmission Condition for the Time-Harmonic Maxwell's Equations"],"prefix":"10.1137","volume":"32","author":[{"given":"Vineet","family":"Rawat","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jin-Fa","family":"Lee","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,12,16]]},"reference":[{"key":"R1","unstructured":"R. Adams,\n                      Sobolev Spaces\n                      , Pure Appl. 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Rawat,\n                      Finite Element Domain Decomposition with Second Order Transmission Conditions for Time-harmonic Electromagnetic Problems\n                      , Ph.D.  thesis, The Ohio State University, Columbus, Ohio, 2009.","DOI":"10.1109\/ICEAA.2009.5297805"},{"key":"R24","first-page":"11","volume":"1","author":"Sleijpen G.","year":"1993","journal-title":"Electron. Trans. Numer. Anal.","ISSN":"https:\/\/id.crossref.org\/issn\/1097-4067","issn-type":"print"},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1109\/8.855483"},{"key":"R26","doi-asserted-by":"publisher","DOI":"10.1109\/8.537332"},{"key":"R27","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2001.6814"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827500367531"},{"key":"R29","doi-asserted-by":"crossref","unstructured":"A. Toselli and O. 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