{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T13:36:02Z","timestamp":1648820162352},"reference-count":21,"publisher":"Elsevier BV","issue":"2-3","license":[{"start":{"date-parts":[[2003,12,1]],"date-time":"2003-12-01T00:00:00Z","timestamp":1070236800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2003,12]]},"DOI":"10.1016\/s0096-3003(03)00201-7","type":"journal-article","created":{"date-parts":[[2003,4,30]],"date-time":"2003-04-30T21:18:06Z","timestamp":1051737486000},"page":"683-700","source":"Crossref","is-referenced-by-count":1,"title":["A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation"],"prefix":"10.1016","volume":"145","author":[{"given":"Xuejun","family":"Xu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.H.","family":"Lui","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0096-3003(03)00201-7_BIB1","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1002\/mma.1670020416","article-title":"On the boundary value problem of biharmonic operator on domains with angular corners","volume":"2","author":"Blum","year":"1980","journal-title":"Math. Methods Appl. Sci."},{"key":"10.1016\/S0096-3003(03)00201-7_BIB2","doi-asserted-by":"crossref","DOI":"10.1090\/conm\/180\/01953","article-title":"Domain decomposition methods for monotone nonlinear elliptic problems","author":"Cai","year":"1994","journal-title":"Contemp. Math."},{"key":"10.1016\/S0096-3003(03)00201-7_BIB3","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1137\/S106482750037620X","article-title":"Nonlinearly preconditioned inexact Newton algorithm","volume":"24","author":"Cai","year":"2002","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/S0096-3003(03)00201-7_BIB4","series-title":"Proceedings of the Eighth International Conference On Domain Decomposition Methods in Science and Engineering","article-title":"Newton\u2013Krylov\u2013Schwarz: An implicit solver for CFD","author":"Cai","year":"1997"},{"key":"10.1016\/S0096-3003(03)00201-7_BIB5","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1017\/S0962492900002427","article-title":"Domain decomposition algorithm","author":"Chan","year":"1994","journal-title":"Acta Numer."},{"key":"10.1016\/S0096-3003(03)00201-7_BIB6","series-title":"The Finite Element Method for Elliptic Problems","author":"Ciarlet","year":"1978"},{"key":"10.1016\/S0096-3003(03)00201-7_BIB7","doi-asserted-by":"crossref","first-page":"296","DOI":"10.1007\/BF02510214","article-title":"On the nonlinear domain decomposition method","volume":"37","author":"Dryja","year":"1997","journal-title":"BIT"},{"key":"10.1016\/S0096-3003(03)00201-7_BIB8","unstructured":"M. Dryja, O.B. Widlund, An additive variant of the Schwarz alternating method for the case of many subregions, Technical report 339, Courant Institute, New York University, New York, 1987"},{"key":"10.1016\/S0096-3003(03)00201-7_BIB9","series-title":"Partial Differential Equations","author":"Evans","year":"1998"},{"key":"10.1016\/S0096-3003(03)00201-7_BIB10","series-title":"Finite Element Methods for Navier\u2013Stokes Equations, Theory and Algorithms","author":"Girault","year":"1986"},{"key":"10.1016\/S0096-3003(03)00201-7_BIB11","doi-asserted-by":"crossref","first-page":"1974","DOI":"10.1137\/S1064827598347411","article-title":"On Schwarz alternating methods for the incompressible Navier\u2013Stokes equations","volume":"22","author":"Lui","year":"2001","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/S0096-3003(03)00201-7_BIB12","doi-asserted-by":"crossref","first-page":"1506","DOI":"10.1137\/S1064827597327553","article-title":"On Schwarz alternating methods for nonlinear PDEs","volume":"21","author":"Lui","year":"2000","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/S0096-3003(03)00201-7_BIB13","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/BF02679439","article-title":"On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs","volume":"93","author":"Lui","year":"2002","journal-title":"Numer. Math."},{"key":"10.1016\/S0096-3003(03)00201-7_BIB14","series-title":"Proceedings of the 1st International Symposium on Domain Decomposition Methods for Partial Differential Equations","first-page":"1","article-title":"On the Schwarz alternating method","author":"Lions","year":"1988"},{"key":"10.1016\/S0096-3003(03)00201-7_BIB15","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1002\/nla.1680020603","article-title":"Multilevel preconditioner for discretizations of the biharmonic equation by rectangular finite elements","volume":"2","author":"Oswald","year":"1995","journal-title":"Numer. Linear Algebra Appl."},{"key":"10.1016\/S0096-3003(03)00201-7_BIB16","series-title":"Domain Decomposition Methods for Partial Differential Equations","author":"Quarteroni","year":"1999"},{"key":"10.1016\/S0096-3003(03)00201-7_BIB17","series-title":"Domain Decomposition: Parallel Multilevel Algorithms for Elliptic Partial Differential Equations","author":"Smith","year":"1996"},{"key":"10.1016\/S0096-3003(03)00201-7_BIB18","doi-asserted-by":"crossref","first-page":"1558","DOI":"10.1137\/S0036142996297461","article-title":"Rate of convergence of some space decomposition methods for linear and nonlinear problems","volume":"35","author":"Tai","year":"1998","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/S0096-3003(03)00201-7_BIB19","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1090\/S0025-5718-01-01311-4","article-title":"Global convergence of subspace correction methods for convex optimization problems","volume":"71","author":"Tai","year":"2002","journal-title":"Math. Comp."},{"key":"10.1016\/S0096-3003(03)00201-7_BIB20","first-page":"121","article-title":"Domain decomposition methods in computational mechanics","volume":"1","author":"Le Tallec","year":"1994","journal-title":"Comput. Mech. Adv."},{"key":"10.1016\/S0096-3003(03)00201-7_BIB21","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1137\/0733029","article-title":"Two level Schwarz method for biharmonic problems discretized by C1 conforming elements","volume":"33","author":"Zhang","year":"1996","journal-title":"SIAM J. Numer. Anal."}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300303002017?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300303002017?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,21]],"date-time":"2019-03-21T19:51:52Z","timestamp":1553197912000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300303002017"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,12]]},"references-count":21,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2003,12]]}},"alternative-id":["S0096300303002017"],"URL":"https:\/\/doi.org\/10.1016\/s0096-3003(03)00201-7","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2003,12]]}}}