{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T03:06:03Z","timestamp":1762916763538},"reference-count":17,"publisher":"Elsevier BV","issue":"2-3","license":[{"start":{"date-parts":[[2000,7,1]],"date-time":"2000-07-01T00:00:00Z","timestamp":962409600000},"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":[[2000,7]]},"DOI":"10.1016\/s0096-3003(99)00076-4","type":"journal-article","created":{"date-parts":[[2003,4,4]],"date-time":"2003-04-04T22:33:30Z","timestamp":1049495610000},"page":"111-139","source":"Crossref","is-referenced-by-count":13,"title":["Solution of elliptic partial differential equations by an optimization-based domain decomposition method"],"prefix":"10.1016","volume":"113","author":[{"given":"Max D.","family":"Gunzburger","sequence":"first","affiliation":[]},{"given":"Matthias","family":"Heinkenschloss","sequence":"additional","affiliation":[]},{"given":"Hyesuk","family":"Kwon Lee","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0096-3003(99)00076-4_BIB1","doi-asserted-by":"crossref","unstructured":"O. Axelsson, Iterative Solution Methods, Cambridge University Press, Cambridge, 1994","DOI":"10.1017\/CBO9780511624100"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB2","doi-asserted-by":"crossref","unstructured":"I. Babuska, A. Aziz, Survey lectures on the mathematical foundations of the finite element method, in: A. Aziz (Ed.), The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, Academic Press, New York, 1972, pp. 3\u2013359","DOI":"10.1016\/B978-0-12-068650-6.50006-X"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB3","doi-asserted-by":"crossref","unstructured":"H. Brakhage, On ill-posed problems and the method of conjugate gradients, in: H. Engl, C. Groetsch (Eds.), Inverse and Ill-posed Problems, Academic Press, Boston, 1987, pp. 165\u2013175","DOI":"10.1016\/B978-0-12-239040-1.50014-4"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB4","unstructured":"T. Chan, D. Keyes, G. Meurant, J. Scroggs, Proceedings of the Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations, SIAM, Philadelphia, 1992"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB5","unstructured":"T. Chan, R. Glowinski, J. Periaux, O. Widlund, Proceedings of the Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, SIAM, Philadelphia, 1990"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB6","unstructured":"T. Chan, G. Meurant J. Periaux, O. Widlund, Domain Decomposition Methods, SIAM, Philadelphia, 1989"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB7","unstructured":"R. Glowinski, G. Golub, J. Periaux, Proceedings of the First International Symposium on Domain Decomposition Methods for Partial Differential Equations, SIAM, Philadelphia, 1988"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB8","unstructured":"R. Glowinski, Y. Kuznetsov, G. Meurant, J. Periaux, O. Widlund, Proceedings of the Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations, SIAM, Philadelphia, 1991"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB9","unstructured":"G. Golub, C.F. van Loan, Matrix Computations, Johns Hopkins University Press, Baltimore, 1989"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB10","unstructured":"C.W. Groetsch, Generalized Inverses of Linear Operators, Marcel Dekker, New York, 1977"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB11","doi-asserted-by":"crossref","unstructured":"M.D. Gunzburger, H.K. Lee, J.S. Peterson, An optimization based domain decomposition method for partial differential equations, Comp. Math. Appl., to appear","DOI":"10.1016\/S0898-1221(99)00127-3"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB12","doi-asserted-by":"crossref","unstructured":"W. Hackbusch, Elliptic Differential Equations: Theory and Numerical Treatment, Springer, Berlin, 1992","DOI":"10.1007\/978-3-642-11490-8"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB13","doi-asserted-by":"crossref","unstructured":"W. Hackbusch, Iterative Solution of Large Sparse Systems of Equations, Springer, Berlin, 1994","DOI":"10.1007\/978-1-4612-4288-8"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB14","unstructured":"M. Hanke, Conjugate Gradient Type Methods for Ill-posed Problems, Pitman Research Notes in Mathematics, vol. 327, Longman, New York, 1995"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB15","doi-asserted-by":"crossref","unstructured":"D. Keyes, J. Xu, Domain Decomposition Methods in Scientific and Engineering Computing, AMS, Providence, 1994","DOI":"10.1090\/conm\/180"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB16","doi-asserted-by":"crossref","unstructured":"A.K. Louis, Convergence of the conjugate gradient method for compact operators, in: H. Engl, C. Groetsch (Eds.), Inverse and Ill-Posed Problems, Academic Press, New York, 1987, pp. 177\u2013183","DOI":"10.1016\/B978-0-12-239040-1.50015-6"},{"key":"10.1016\/S0096-3003(99)00076-4_BIB17","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1137\/0717002","article-title":"Some superliner convergence results for the conjugate gradient methods","volume":"17","author":"Winther","year":"1980","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:S0096300399000764?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300399000764?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,1,16]],"date-time":"2020-01-16T15:26:36Z","timestamp":1579188396000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300399000764"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,7]]},"references-count":17,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2000,7]]}},"alternative-id":["S0096300399000764"],"URL":"https:\/\/doi.org\/10.1016\/s0096-3003(99)00076-4","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2000,7]]}}}