{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,30]],"date-time":"2025-10-30T06:59:42Z","timestamp":1761807582911},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2010,6,1]],"date-time":"2010-06-01T00:00:00Z","timestamp":1275350400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2011,5]]},"DOI":"10.1007\/s10444-010-9157-0","type":"journal-article","created":{"date-parts":[[2010,5,31]],"date-time":"2010-05-31T08:34:56Z","timestamp":1275294896000},"page":"339-368","source":"Crossref","is-referenced-by-count":4,"title":["A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems"],"prefix":"10.1007","volume":"34","author":[{"given":"Debasish","family":"Pradhan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Baskar","family":"Shalini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Neela","family":"Nataraj","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Amiya K.","family":"Pani","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,6,1]]},"reference":[{"key":"9157_CR1","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1137\/S0036142994261518","volume":"34","author":"A Bamberger","year":"1997","unstructured":"Bamberger, A., Glowinski, R., Tran, Q.H.: A domain decomposition method for the acoustic wave equation with discontinuous coefficients and grid change. SIAM J. Numer. Anal. 34, 603\u2013639 (1997)","journal-title":"SIAM J. Numer. Anal."},{"key":"9157_CR2","doi-asserted-by":"crossref","first-page":"306","DOI":"10.1137\/S0036142902401311","volume":"41","author":"SC Brenner","year":"2003","unstructured":"Brenner, S.C.: Poincar\u00e8 Friedrichs inequalities for piecewise H 1 functions. SIAM J. Numer. Anal. 41, 306\u2013324 (2003)","journal-title":"SIAM J. Numer. Anal."},{"key":"9157_CR3","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1017\/S0962492900002427","volume":"3","author":"TF Chan","year":"1994","unstructured":"Chan, T.F., Mathew, T.: Domain decomposition algorithms. Acta Numer. 3, 61\u2013143 (1994)","journal-title":"Acta Numer."},{"key":"9157_CR4","volume-title":"The Finite Element Method for Elliptic Problems","author":"PG Ciarlet","year":"1978","unstructured":"Ciarlet, P.G.: The Finite Element Method for Elliptic Problems. North-Holland, New York (1978)"},{"key":"9157_CR5","first-page":"33","volume":"7","author":"M Crouzeix","year":"1973","unstructured":"Crouzeix, M., Raviart, P.A.: Conforming and non-conforming finite element methods for solving the stationary Stokes equations. RAIRO Anal. Numer. 7, 33\u201376 (1973)","journal-title":"RAIRO Anal. Numer."},{"key":"9157_CR6","doi-asserted-by":"crossref","first-page":"1517","DOI":"10.1137\/S1064827595286797","volume":"18","author":"Q Deng","year":"1997","unstructured":"Deng, Q.: An analysis for a non-overlapping domain decomposition iterative procedure. SIAM J. Sci. Comput. 18, 1517\u20131525 (1997)","journal-title":"SIAM J. Sci. Comput."},{"key":"9157_CR7","doi-asserted-by":"crossref","first-page":"295","DOI":"10.3934\/cpaa.2003.2.297","volume":"2","author":"Q Deng","year":"2003","unstructured":"Deng, Q.: A non-overlapping domain decomposition method for nonconforming finite element problems. Commun. Pure Appl. Anal. 2, 295\u2013306 (2003)","journal-title":"Commun. Pure Appl. Anal."},{"key":"9157_CR8","first-page":"44","volume-title":"Mathematical and Numerical Aspects of Wave Propagation Phenomena","author":"B Despres","year":"1991","unstructured":"Despres, B.: Domain decomposition method and Helmholtz problem. In: Cohen, G., Halpern, L., Joly, P. (eds.) Mathematical and Numerical Aspects of Wave Propagation Phenomena, pp. 44\u201352. SIAM, Philadelphia (1991)"},{"key":"9157_CR9","first-page":"475","volume-title":"Iterative Methods in Linear Algebra","author":"B Despres","year":"1992","unstructured":"Despres, B., Joly, P., Roberts, J.E.: A domain decomposition method for harmonic Maxwell equations. In: Iterative Methods in Linear Algebra, pp. 475\u2013484. North Holland, Amsterdam (1992)"},{"key":"9157_CR10","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1007\/BF01385742","volume":"65","author":"J Douglas Jr","year":"1993","unstructured":"Douglas, Jr., J., Paes Leme, P.J., Roberts, J.E., Wang, J.: A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods. Numer. Math. 65, 95\u2013108 (1993)","journal-title":"Numer. Math."},{"key":"9157_CR11","doi-asserted-by":"crossref","unstructured":"Douglas, Jr., J., Santos, J.E., Sheen, D., Ye, X.: Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. In: Math. Modeling and Numer. Analysis, M2AN, pp. 747\u2013770 (1999)","DOI":"10.1051\/m2an:1999161"},{"key":"9157_CR12","unstructured":"Gander, M.J., Halpern, L., Nataf, F.: Optimized Schwarz methods. In: Proceedings of the Twelfth International Conference on Domain Decomposition Methods, pp. 15\u201328. Chiba, Japan (2001)"},{"key":"9157_CR13","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1137\/S1064827501387012","volume":"24","author":"MJ Gander","year":"2002","unstructured":"Gander, M.J., Magoules, F., Nataf, F.: Optimized Schwarz methods without overlap for the Helmholtz equation. SIAM J. Sci. Comput. 24, 38\u201360 (2002)","journal-title":"SIAM J. Sci. Comput."},{"key":"9157_CR14","doi-asserted-by":"crossref","first-page":"699","DOI":"10.1137\/S0036142903425409","volume":"44","author":"MJ Gander","year":"2006","unstructured":"Gander, M.J.: Optimized Schwarz methods. SIAM J. Numer. Anal. 44, 699\u2013731 (2006)","journal-title":"SIAM J. Numer. Anal."},{"key":"9157_CR15","first-page":"202","volume-title":"Proceedings of the Third International Symposium on Domain Decomposition Methods for Partial Differential Equations","author":"PL Lions","year":"1990","unstructured":"Lions, P.L.: On the Schwarz alternating method III: a variant for non-overlapping subdomains. In: Chan, T.F., Glowinski, R., Perianx, J., Widlund, O.B. (eds.) Proceedings of the Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, pp. 202\u2013223. SIAM, Philadelphia (1990)"},{"key":"9157_CR16","volume-title":"Non-homogeneous Boundary Value Problems and Applications","author":"JL Lions","year":"1972","unstructured":"Lions, J.L., Magenes, E.: Non-homogeneous Boundary Value Problems and Applications. Springer, New York (1972)"},{"key":"9157_CR17","doi-asserted-by":"crossref","first-page":"2539","DOI":"10.1137\/05063790X","volume":"44","author":"L Qin","year":"2006","unstructured":"Qin, L., Xu, X.: On a parallel Robin-type non-overlapping domain decomposition method. SIAM J. Numer. Anal. 44, 2539\u20132558 (2006)","journal-title":"SIAM J. Numer. Anal."},{"key":"9157_CR18","doi-asserted-by":"crossref","first-page":"608","DOI":"10.1137\/070682149","volume":"31","author":"L Qin","year":"2008","unstructured":"Qin, L., Xu, X.: Optimized Schwarz methods with Robin transmission conditions for parabolic problems. SIAM J. Sci. Comput. 31, 608\u2013623 (2008)","journal-title":"SIAM J. Sci. Comput."},{"key":"9157_CR19","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198501787.001.0001","volume-title":"Domain Decomposition Methods for Partial Differential Equations","author":"A Quarteroni","year":"1999","unstructured":"Quarteroni, A., Valli, A.: Domain Decomposition Methods for Partial Differential Equations. Clarendon, Oxford (1999)"},{"key":"9157_CR20","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1007\/s002110050292","volume":"77","author":"M Sarkis","year":"1997","unstructured":"Sarkis, M.: Nonstandard coarse spaces and Schwarz methods for elliptic problems with discontinuous coefficients using nonconforming elements. Numer. Math. 77, 383\u2013406 (1997)","journal-title":"Numer. Math."},{"key":"9157_CR21","volume-title":"Domain Decomposition Parallel Multilevel Methods for Partial Differential Equations","author":"BF Smith","year":"1996","unstructured":"Smith, B.F., Bjorstad, P.E., Gropp, W.D.: Domain Decomposition Parallel Multilevel Methods for Partial Differential Equations. Cambridge University Press, Cambridge (1996)"},{"key":"9157_CR22","volume-title":"Domain Decomposition Methods Algorithms and Theory","author":"A Toselli","year":"2004","unstructured":"Toselli, A., Widlund, O.: Domain Decomposition Methods Algorithms and Theory. Springer, New York (2004)"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-010-9157-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-010-9157-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-010-9157-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,27]],"date-time":"2024-03-27T04:42:33Z","timestamp":1711514553000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-010-9157-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,6,1]]},"references-count":22,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2011,5]]}},"alternative-id":["9157"],"URL":"https:\/\/doi.org\/10.1007\/s10444-010-9157-0","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,6,1]]}}}