{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,2,20]],"date-time":"2023-02-20T11:51:09Z","timestamp":1676893869597},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2005,10,1]],"date-time":"2005-10-01T00:00:00Z","timestamp":1128124800000},"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":[[2005,10]]},"DOI":"10.1007\/s10444-004-1779-7","type":"journal-article","created":{"date-parts":[[2005,3,25]],"date-time":"2005-03-25T01:16:13Z","timestamp":1111713373000},"page":"241-263","source":"Crossref","is-referenced-by-count":3,"title":["A posteriori error estimates and domain decomposition with nonmatching grids"],"prefix":"10.1007","volume":"23","author":[{"given":"J.","family":"Pousin","sequence":"first","affiliation":[]},{"given":"T.","family":"Sassi","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"CR1","volume-title":"Sobolev Spaces","author":"Adams R.A.","year":"1975","unstructured":"R.A. Adams, Sobolev Spaces (Academic Press, New York, 1975)."},{"key":"CR2","volume-title":"Proc. of the 1st Internat. Symposium on Domain Decomposition Methods","author":"V.I. Aghoskov","year":"1988","unstructured":"V.I. Aghoskov, Poincar\u00e9?Steklov?s operators and domain decomposition methods in finite-dimensional spaces, in: Proc. of the 1st Internat. Symposium on Domain Decomposition Methods, Paris, France, January 1987 (SIAM, Philadelphia, PA, 1988)."},{"key":"CR3","volume-title":"Adaptivity and a Posteriori Estimates in Finite Element: Aims, Theory, and Experience","author":"Babu?ka I.","year":"1986","unstructured":"I. Babu?ka and Feedback, Adaptivity and a Posteriori Estimates in Finite Element: Aims, Theory, and Experience (Willey, New York, 1986)."},{"issue":"3","key":"CR4","first-page":"736","volume":"12","author":"I. Babu?ka","year":"1978","unstructured":"I. Babu?ka and W.C. Rheinboldt, A posteriori error estimates for the finite element method, Internat. J. Numer. Methods Engrg. 12(3) (1978) 736?754.","journal-title":"Internat. J. Numer. Methods Engrg."},{"issue":"4","key":"CR5","doi-asserted-by":"crossref","first-page":"736","DOI":"10.1137\/0715049","volume":"15","author":"I. Babu?ka","year":"1978","unstructured":"I. Babu?ka and W.C. Rheinboldt, Error estimates for adaptive finite element computations, SIAM J. Numer. Anal. 15(4) (1978) 736?754.","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"CR6","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1007\/s002110050468","volume":"84","author":"F. Ben Belgacem","year":"1999","unstructured":"F. Ben Belgacem, The mortar finite element method with Lagrange multipliers, Numer. Math. 84(2) (1999) 173?197.","journal-title":"Numer. Math."},{"issue":"3","key":"CR7","first-page":"373","volume":"320","author":"C. Bernardi","year":"1995","unstructured":"C. Bernardi and Y. Maday, Raffinement de maillage en \u00e9l\u00e9ments finis par la m\u00e9thode des joints (in French) (Finite-element mesh refinement by the mortar method), C. R. Acad. Sci. Paris S\u00e9r. I Math. 320(3) (1995) 373?377.","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. I Math."},{"key":"CR8","series-title":"College de France Seminar","volume-title":"Nonlinear Partial Differential Equations and their Applications","author":"C. Bernardi","year":"1993","unstructured":"C. Bernardi, Y. Maday and T. Patera, A new non conforming approach to domain decomposition; the mortar element method, in: Nonlinear Partial Differential Equations and their Applications, eds. H. Brezis and J.L. Lions, College de France Seminar, Vol. XI (Pitman, London, 1993)."},{"issue":"179","key":"CR9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0025-5718-1987-0890250-4","volume":"49","author":"J.H. Bramble","year":"1987","unstructured":"J.H. Bramble, J.E. Pasciak and A.H. Schatz, The construction of preconditioners for elliptic problems by substructuring II, Math. Comp. 49(179) (1987) 1?16.","journal-title":"Math. Comp."},{"key":"CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-3172-1","volume-title":"Mixed and Hybrid Finite Element Methods","author":"F. Brezzi","year":"1991","unstructured":"F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods (Springer, New York, 1991)."},{"key":"CR11","volume-title":"Handbook of Numerical Analysis, Vol. IV","author":"G. Caloz","year":"1997","unstructured":"G. Caloz and J. Rappaz, Handbook of Numerical Analysis, Vol. IV (North-Holland, Amsterdam, 1997)."},{"key":"CR12","volume-title":"The Finite Element Method for Elliptic Problems","author":"P. Ciarlet","year":"1978","unstructured":"P. Ciarlet, The Finite Element Method for Elliptic Problems (North-Holland, Amsterdam, 1978)."},{"key":"CR13","first-page":"77","volume":"9","author":"P. Cl\u00e9ment","year":"1974","unstructured":"P. Cl\u00e9ment, Approximating by finite element function using local regularisation, RAIRO Anal. Numer. 9 (1974) 77?84.","journal-title":"RAIRO Anal. Numer."},{"key":"CR14","volume-title":"Elliptic Problems in Nonsmooth Domains","author":"P. Grisvard","year":"1985","unstructured":"P. Grisvard, Elliptic Problems in Nonsmooth Domains (Pitman, Boston, 1985)."},{"key":"CR15","unstructured":"F.R. Hebeker, An a posteriori error estimator for elliptic boundary and interface problems in layered domains, Preprint 97-46, IWR University of Heidelberg."},{"key":"CR16","doi-asserted-by":"crossref","unstructured":"J.L. Lions, Contribution \u00e0 un probl\u00e8me de M.M. Picone, Ann. Mat. Pura Appl. 41, 201?219.","DOI":"10.1007\/BF02411668"},{"key":"CR17","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1137\/1024101","volume":"24","author":"P.L. Lions","year":"1982","unstructured":"P.L. Lions, On the existence of positive solutions of semi-linear elliptic equations, SIAM Rev. 24 (1982) 441?467.","journal-title":"SIAM Rev."},{"issue":"5","key":"CR18","doi-asserted-by":"crossref","first-page":"689","DOI":"10.1142\/S0218202596000286","volume":"6","author":"J. Medina","year":"1996","unstructured":"J. Medina, M. Picasso and J. Rappaz, Error estimates and adaptive finite elements for nonlinear diffusion?convection problems, Math. Models Methods Appl. Sci. 6(5) (1996) 689?711.","journal-title":"Math. Models Methods Appl. Sci."},{"key":"CR19","volume-title":"Les M\u00e9thodes Directes en Th\u00e9orie des \u00c9quations Elliptiques","author":"J. Ne?as","year":"1967","unstructured":"J. Ne?as, Les M\u00e9thodes Directes en Th\u00e9orie des \u00c9quations Elliptiques (Masson\/Academia, Paris\/Prague, 1967)."},{"key":"CR20","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1023\/A:1018946919497","volume":"7","author":"L. Pouly","year":"1997","unstructured":"L. Pouly and J. Pousin, Adaptive finite element for semi-linear convection?diffusion problem, Adv. Comput. Math. 7 (1997) 235?259.","journal-title":"Adv. Comput. Math."},{"key":"CR21","first-page":"699","volume":"312","author":"J. Pousin","year":"1991","unstructured":"J. Pousin and J. Rappaz, Consistance, stabilit\u00e9, erreurs a priori et a posteriori pour des prob\u00e8mes non lin\u00e9aires, C. R. Acad. Sci. Paris S\u00e9r. I 312 (1991) 699?703.","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. I"},{"key":"CR22","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1007\/s002110050088","volume":"69","author":"J. Pousin","year":"1994","unstructured":"J. Pousin and J. Rappaz, Consistency, stability, a priori and a posteriori errors for Petrov?Galerkin methods applied to nonlinear problems, Numer. Math. 69 (1994) 213?231.","journal-title":"Numer. Math."},{"key":"CR23","first-page":"820","volume-title":"ECCOMAS 96","author":"J. Pousin","year":"1996","unstructured":"J. Pousin and T. Sassi, Adaptive finite element and domain decomposition with nonmatching grids, in: ECCOMAS 96 (Willey, New York, 1996) pp. 820?829."},{"key":"CR24","unstructured":"J. Pousin and T. Sassi, A posteriori error estimates and domain decomposition with nonmatching grids, Preprint of MAPLY ? Laboratoire de Math\u00e9matiques Appliqu\u00e9es de Lyon, No. 263 (1997), http:\/\/maply.univ-lyon1.fr\/maply\/."},{"issue":"9","key":"CR25","doi-asserted-by":"crossref","first-page":"639","DOI":"10.1002\/zamm.19970770903","volume":"77","author":"J. Pousin","year":"1997","unstructured":"J. Pousin and T. Sassi, Domain decomposition with nonmatching grids and mixed formulation in spaces W01,p, W01,q, Z. Angew. Math. Mech. 77(9) (1997) 639?644.","journal-title":"Z. Angew. Math. Mech."},{"key":"CR26","unstructured":"J. Pousin and T. Sassi, Domain decomposition with non matching grids and adaptive finite element techniques, East?West J. Numer. Math. 8(3) (2000)."},{"key":"CR27","volume-title":"Mixed and Hybrid Methods, Handbook of Numerical Analysis, Vol. II, Finite Element Methods (Part 1)","author":"P. Robert","year":"1991","unstructured":"P. Robert and J.M. Thomas, Mixed and Hybrid Methods, Handbook of Numerical Analysis, Vol. II, Finite Element Methods (Part 1), eds. P.G. Ciarlet and J.L. Lions (North-Holland, Amsterdam, 1991)."},{"issue":"1","key":"CR28","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1007\/s002110050466","volume":"84","author":"T. Tsuchiya","year":"1999","unstructured":"T. Tsuchiya, An application of the Kantorovich theorem to nonlinear finite element analysis, Numer. Math. 84(1) (1999) 121?141.","journal-title":"Numer. Math."},{"issue":"206","key":"CR29","doi-asserted-by":"crossref","first-page":"445","DOI":"10.2307\/2153518","volume":"62","author":"R. Verf\u00fcrth","year":"1994","unstructured":"R. Verf\u00fcrth, A posteriori errors for nonlinear problems. Finite element discretizations of elliptic equations, Math. Comp. 62(206) (1994) 445?475.","journal-title":"Math. Comp."},{"key":"CR30","volume-title":"A Review of A-Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques","author":"R. Verf\u00fcrth","year":"1996","unstructured":"R. Verf\u00fcrth, A Review of A-Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques (Teubner, Stuttgart, 1996)."},{"key":"CR31","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1007\/s002110050381","volume":"80","author":"R. Verf\u00fcrth","year":"1998","unstructured":"R. Verf\u00fcrth, A posteriori error estimators for convection?diffusion equations, Numer. Math. 80 (1998) 641?663.","journal-title":"Numer. Math."},{"key":"CR32","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1007\/s002110050467","volume":"84","author":"B. Wolhmuth","year":"1999","unstructured":"B. Wolhmuth, A residual based estimator for mortar finite element discretization, Numer. Math. 84 (1999) 143?171.","journal-title":"Numer. Math."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-004-1779-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-004-1779-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-004-1779-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T17:08:07Z","timestamp":1559149687000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-004-1779-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,10]]},"references-count":32,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2005,10]]}},"alternative-id":["5271779"],"URL":"https:\/\/doi.org\/10.1007\/s10444-004-1779-7","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,10]]}}}