{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,22]],"date-time":"2026-08-22T05:53:07Z","timestamp":1787377987859,"version":"build-2736575974"},"reference-count":19,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2008,1]]},"abstract":"<jats:p>A balancing domain decomposition by constraints (BDDC) algorithm is developed for compressible elasticity problems in three dimensions with mortar discretization on geometrically nonconforming subdomain partitions. Material parameters of the elasticity problems may have jump across the subdomain interface. Coarse basis functions in the BDDC algorithm are constructed from primal constraints on faces, which are similar to the average matching condition and the moment matching condition considered in [A. Klawonn and O. B. Widlund, Comm. Pure Appl. Math., 59 (2006), pp. 1523\u20131572] and [H. H. Kim, A FETI-DP Formulation of Three Dimensional Elasticity Problems with Mortar Discretization, Technical report, New York University, 2005]. A condition number bound is proved to be C(1+log(H\/h))$^3$ for geometrically nonconforming partitions and to be C(1+log(H\/h))$^2$ for geometrically conforming partitions. The bound is not affected by the jump of the material parameters across the subdomain interface. Numerical results are included.<\/jats:p>","DOI":"10.1137\/060649677","type":"journal-article","created":{"date-parts":[[2008,5,4]],"date-time":"2008-05-04T04:04:04Z","timestamp":1209873844000},"page":"2090-2111","source":"Crossref","is-referenced-by-count":17,"title":["A BDDC Algorithm for Mortar Discretization of Elasticity Problems"],"prefix":"10.1137","volume":"46","author":[{"given":"Hyea Hyun","family":"Kim","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2008,5,2]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/1997310202891"},{"key":"R2","unstructured":"C. Bernardi, Y. Maday, and A. T. Patera,\n                      A new nonconforming approach to domain decomposition: The mortar element method\n                      , in Nonlinear Partial Differential Equations and Their Applications, Coll\u00e8ge de France Seminar, Vol. XI (Paris, 1989\u20131991), Pitman Res. Notes Math. Ser. 299, Longman Scientific and Technical, Harlow, UK, 1994, pp. 13\u201351."},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827502412887"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1002\/nme.76"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142900367065"},{"key":"R6","unstructured":"H. H. Kim,\n                      A FETI-DP Formulation of Three Dimensional Elasticity Problems with Mortar Discretization\n                      , Technical report, New York University, 2005."},{"key":"R7","unstructured":"H. H. Kim, M. Dryja, and O. B. Widlund,\n                      A BDDC Algorithm for Problems with Mortar Discretization\n                      , Technical report, New York University, 2005."},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142903423381"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1137\/030601119"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.20156"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142901388081"},{"key":"R12","unstructured":"J. Li,\n                      Dual-Primal FETI Methods for Incompressible Stokes and Linearized Navier-Stokes Equations\n                      , Technical report, New York University, 2002."},{"key":"R13","unstructured":"J. Li and O. Widlund,\n                      BDDC Algorithms for Incompressible Stokes Equations\n                      , Technical report, New York University, 2005."},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1002\/nme.1553"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2006.03.011"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2004.09.022"},{"key":"R17","unstructured":"D. Stefanica,\n                      Domain Decomposition Methods for Mortar Finite Elements\n                      , Ph.D. thesis, Department of Computer Science, Courant Institute, New York University, 2000."},{"key":"R18","unstructured":"X. Tu,\n                      Three-Level BDDC in Two Dimensions\n                      , Technical report, New York University, 2004."},{"key":"R19","doi-asserted-by":"crossref","unstructured":"B. I. Wohlmuth,\n                      Discretization Methods and Iterative Solvers Based on Domain Decomposition\n                      , Lecture Notes in Comput. Sci. Engrg. 17, Springer-Verlag, Berlin, 2001.","DOI":"10.1007\/978-3-642-56767-4"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/060649677","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T15:14:23Z","timestamp":1787325263000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/060649677"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,1]]},"references-count":19,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2008,1]]}},"alternative-id":["10.1137\/060649677"],"URL":"https:\/\/doi.org\/10.1137\/060649677","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,1]]}}}