{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:32:47Z","timestamp":1787337167644,"version":"build-2736575974"},"reference-count":24,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2013,1]]},"abstract":"<jats:p>We consider a standard model for mass transport across an evolving interface. The solution has to satisfy a jump condition across an evolving interface. We present and analyze a finite element discretization method for this mass transport problem. This method is based on a space-time approach in which a discontinuous Galerkin (DG) technique is combined with an extended finite element method (XFEM). The jump condition is satisfied in a weak sense by using the Nitsche method. This Nitsche XFEM-DG method is new. An error analysis is presented. Results of numerical experiments are given which illustrate the accuracy of the method.<\/jats:p>","DOI":"10.1137\/120875260","type":"journal-article","created":{"date-parts":[[2013,3,21]],"date-time":"2013-03-21T12:18:59Z","timestamp":1363868339000},"page":"958-983","source":"Crossref","is-referenced-by-count":46,"title":["Analysis of a Nitsche XFEM-DG Discretization for a Class of Two-Phase Mass Transport Problems"],"prefix":"10.1137","volume":"51","author":[{"given":"Christoph","family":"Lehrenfeld","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Arnold","family":"Reusken","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2013,3,21]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2009.06.017"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-18540-3_13"},{"key":"atypb3","first-page":"423","volume-title":"Proceedings of the 2003 ASME joint U.S.-European Fluids Eng. Conf., Honolulu","author":"Bothe D.","year":"2003"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3658-8"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-15337-2_12"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1002\/nme.1155"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4355-5"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1002\/nme.2914"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1007\/s00791-006-0024-y"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-19686-7"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(02)00524-8"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2003.12.041"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1051\/m2an:2003039"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-005-0587-4"},{"key":"atypb15","volume-title":"Eyrolles","author":"Ishii M.","year":"1975"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.5802\/aif.69"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2007.10.003"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1137\/110855235"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1007\/s00041-009-9092-y"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4022-8"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511800238"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-03359-3"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1007\/s007910050056"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1142\/6238"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/120875260","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:47:21Z","timestamp":1787334441000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/120875260"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,1]]},"references-count":24,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2013,1]]}},"alternative-id":["10.1137\/120875260"],"URL":"https:\/\/doi.org\/10.1137\/120875260","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,1]]}}}