{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:31:34Z","timestamp":1787337094831,"version":"build-2736575974"},"reference-count":12,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2006,1]]},"abstract":"<jats:p>We study a nonoverlapping domain decomposition method for the harmonic Maxwell equations with a new kind of interface condition. Using Fourier analysis we derive suitable families of transmission conditions in R3 that involve second order tangential differential operators and that guarantee convergence for both propagative and evanescent modes. Such families depend upon parameters that are chosen to optimize the convergence rate of the corresponding iterative algorithm. We then propose iterative solvers for the Maxwell equations based on a domain decomposition procedure where such conditions are enforced on the interface. Some numerical results for a two-domain decomposition show the effectiveness of the optimized interface conditions.<\/jats:p>","DOI":"10.1137\/040608696","type":"journal-article","created":{"date-parts":[[2006,3,15]],"date-time":"2006-03-15T21:00:21Z","timestamp":1142456421000},"page":"102-122","source":"Crossref","is-referenced-by-count":59,"title":["New Nonoverlapping Domain Decomposition Methods for the Harmonic Maxwell System"],"prefix":"10.1137","volume":"28","author":[{"given":"Ana Alonso","family":"Rodriguez","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Luca","family":"Gerardo-Giorda","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,25]]},"reference":[{"key":"R1","volume-title":"Computational electromagnetism","author":"Bossavit Alain","year":"1998"},{"key":"R2","unstructured":"P. Chevalier,\n                      M\u00e9thodes num\u00e9riques pour les tubes hyperfr\u00e9quences. R\u00e9solution par d\u00e9composition de domaine\n                      , Ph.D. thesis, Universit\u00e9 Paris VI, 1998."},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(97)00014-5"},{"key":"R4","unstructured":"Bruno Despr\u00e9s, Patrick Joly, Jean Roberts, A domain decomposition method for the harmonic Maxwell equations, North\u2010Holland, Amsterdam, 1992, 475\u20134841159757"},{"key":"R5","unstructured":"Bruno Despr\u00e9s, Domain decomposition method and the Helmholtz problem, SIAM, Philadelphia, PA, 1991, 44\u2013521105979"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827501387012"},{"key":"R7","unstructured":"P.\u2010L. Lions, On the Schwarz alternating method. III. A variant for nonoverlapping subdomains, SIAM, Philadelphia, PA, 1990, 202\u201322391g:65226"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198508885.001.0001"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4393-7"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1007\/BF01396415"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1007\/BF01399314"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1093\/oso\/9780198501787.001.0001"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/040608696","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:44:26Z","timestamp":1787334266000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/040608696"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,1]]},"references-count":12,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,1]]}},"alternative-id":["10.1137\/040608696"],"URL":"https:\/\/doi.org\/10.1137\/040608696","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,1]]}}}