{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:34:40Z","timestamp":1787337280036,"version":"build-2736575974"},"reference-count":22,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2006,1]]},"abstract":"\n A FETI-DP (dual-primal finite element tearing and interconnecting) formulation for the two-dimensional Stokes problem with mortar methods is considered. Separate sets of unknowns are used for velocity on interfaces, and the mortar constraints are enforced on the velocity unknowns by Lagrange multipliers. Average constraints on edges are further introduced as primal constraints to solvethe Stokes problem correctly and to obtain a scalable FETI-DP algorithm. A Neumann--Dirichlet preconditioner is shown to give a condition number bound, C max\n i = 1,...,N<\/jats:sub>\n {(1 + log( H\n i<\/jats:sub>\n \/ h\n i<\/jats:sub>\n ))\n 2<\/jats:sup>\n }, where H\n i<\/jats:sub>\n and h\n i<\/jats:sub>\n are the subdomain size and the mesh size, respectively, and the constant C is independent of the mesh parameters H\n i<\/jats:sub>\n and h\n i<\/jats:sub>\n .\n <\/jats:p>","DOI":"10.1137\/030601119","type":"journal-article","created":{"date-parts":[[2006,8,24]],"date-time":"2006-08-24T15:30:24Z","timestamp":1156433424000},"page":"1133-1152","source":"Crossref","is-referenced-by-count":15,"title":["A Neumann--Dirichlet Preconditioner for a FETI-DP Formulation of the Two-Dimensional Stokes Problem with Mortar Methods"],"prefix":"10.1137","volume":"28","author":[{"given":"Hyea Hyun","family":"Kim","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chang-Ock","family":"Lee","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,8,4]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050468"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142997329220"},{"key":"R3","unstructured":"C. Bernardi, Y. Maday, A. Patera, A new nonconforming approach to domain decomposition: the mortar element method, Pitman Res. Notes Math. Ser., Vol. 299, Longman Sci. Tech., Harlow, 1994, 13\u20135195a:65201"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1137\/0720048"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1016\/0168-9274(90)90019-C"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-3172-1"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142997316712"},{"key":"R8","doi-asserted-by":"crossref","unstructured":"M. Dryja and W. Proskurowski,\n A FETI\u2010DP method for the mortar discretization of elliptic problems with discontinuous coefficients\n , in Domain Decomposition Methods in Science and Engineering, Lecture Notes Comput. Sci. Eng. 40, Springer, Berlin, 2004, pp. 345\u2013352.","DOI":"10.1007\/3-540-26825-1_34"},{"key":"R9","doi-asserted-by":"crossref","unstructured":"Maksymilian Dryja, Olof Widlund, A FETI\u2010DP method for a mortar discretization of elliptic problems, Lect. Notes Comput. Sci. Eng., Vol. 23, Springer, Berlin, 2002, 41\u201352MR1962680","DOI":"10.1007\/978-3-642-56118-4_3"},{"key":"R10","unstructured":"M. Dryja, O. Widlund, A generalized FETI\u2010DP method for a mortar discretization of elliptic problems, Natl. Auton. Univ. Mex., M\u00e9xico, 2003, 27\u201338MR2093732"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1002\/nme.76"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1002\/nme.1620320604"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142903423381"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142901388081"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-005-0653-y"},{"key":"R16","unstructured":"J. Li,\n Dual\u2010Primal FETI Methods for Stationary Stokes and Navier\u2013Stokes Equations\n , Ph.D. thesis, Department of Computer Science, Courant Institute of Mathematical Sciences, New York University, New York, 2002."},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1007\/s211-001-8014-1"},{"key":"R18","doi-asserted-by":"crossref","unstructured":"D. Stefanica,\n Choosing nonmortars: Does it influence the performance of FETI\u2010DP algorithms?\n , in Domain Decomposition Methods in Science and Engineering, Lecture Notes Comput. Sci. Eng. 40, Springer, Berlin, 2004, pp. 377\u2013384.","DOI":"10.1007\/3-540-26825-1_38"},{"key":"R19","first-page":"9","volume":"42","author":"Stenberg Rolf","year":"1984","journal-title":"Math. Comp."},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142999350929"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-56767-4"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144596306800"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/030601119","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:54:03Z","timestamp":1787334843000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/030601119"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,1]]},"references-count":22,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2006,1]]}},"alternative-id":["10.1137\/030601119"],"URL":"https:\/\/doi.org\/10.1137\/030601119","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,1]]}}}