{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,24]],"date-time":"2025-09-24T10:17:00Z","timestamp":1758709020288},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2010,6,4]],"date-time":"2010-06-04T00:00:00Z","timestamp":1275609600000},"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\/s10444-010-9159-y","type":"journal-article","created":{"date-parts":[[2010,6,3]],"date-time":"2010-06-03T09:21:40Z","timestamp":1275556900000},"page":"369-390","source":"Crossref","is-referenced-by-count":3,"title":["Approximation properties of the Generalized Finite Element Method"],"prefix":"10.1007","volume":"34","author":[{"given":"C.","family":"Anitescu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"U.","family":"Banerjee","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,6,4]]},"reference":[{"key":"9159_CR1","unstructured":"Anitescu, C.: On the Convergence and Superconvergence of the Generalized Finite Element Methods. Ph.D. Thesis, Syracuse University (2010)"},{"key":"9159_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1017\/S0962492902000090","volume":"12","author":"I Babu\u0161ka","year":"2003","unstructured":"Babu\u0161ka, I., Banerjee, U., Osborn, J.: Survey of meshless and generalized finite element methods. Acta Numer. 12, 1\u2013125 (2003)","journal-title":"Acta Numer."},{"issue":"1","key":"9159_CR3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1142\/S0219876204000095","volume":"1","author":"I Babu\u0161ka","year":"2004","unstructured":"Babu\u0161ka, I., Banerjee, U., Osborn, J.: Generalized finite element methods: main ideas, results, and perspective. Int. J. Comput. Methods 1(1), 1\u201337 (2004)","journal-title":"Int. J. Comput. Methods"},{"key":"9159_CR4","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1007\/s00211-003-0489-2","volume":"96","author":"I Babu\u0161ka","year":"2004","unstructured":"Babu\u0161ka, I., Banerjee, U., Osborn, J.: On the approximability and the selection of particle shape functions. Numer. Math. 96, 601\u2013640 (2004)","journal-title":"Numer. Math."},{"key":"9159_CR5","doi-asserted-by":"crossref","first-page":"945","DOI":"10.1137\/0731051","volume":"31","author":"I Babu\u0161ka","year":"1994","unstructured":"Babu\u0161ka, I., Caloz, G., Osborn, J.: Special finite element methods for a class of second order elliptic problems with rough coefficients. SIAM J. Numer. Anal. 31, 945\u2013981 (1994)","journal-title":"SIAM J. Numer. Anal."},{"key":"9159_CR6","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1002\/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N","volume":"40","author":"I Babu\u0161ka","year":"1997","unstructured":"Babu\u0161ka, I., Melenk, J.M.: The partition of unity finite element method. Int. J. Numer. Methods Eng. 40, 727\u2013758 (1997)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"9159_CR7","volume-title":"The Mathematical Theory of Finite Element Methods","author":"SC Brenner","year":"2007","unstructured":"Brenner, S.C., Scott, L.R.: The Mathematical Theory of Finite Element Methods. Springer, New York (2007)"},{"key":"9159_CR8","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, Amsterdam (1978)"},{"key":"9159_CR9","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1007\/s004660050403","volume":"23","author":"J Dolbow","year":"1999","unstructured":"Dolbow, J., Belytschko, T.: Numerical integration of the Galerkin weak form in meshfree methods. Comput. Mech. 23, 219\u2013230 (1999)","journal-title":"Comput. Mech."},{"key":"9159_CR10","doi-asserted-by":"crossref","first-page":"673","DOI":"10.1002\/(SICI)1098-2426(199611)12:6<673::AID-NUM3>3.0.CO;2-P","volume":"12","author":"CA Duarte","year":"1996","unstructured":"Duarte, C.A., Oden, J.T.: H-p clouds\u2014an h-p meshless method. Numer. Methods Partial Diff. Equ. 12, 673\u2013705 (1996)","journal-title":"Numer. Methods Partial Diff. Equ."},{"key":"9159_CR11","doi-asserted-by":"crossref","first-page":"6157","DOI":"10.1016\/S0045-7825(01)00214-6","volume":"190","author":"W Han","year":"2001","unstructured":"Han, W., Meng, X.: Error analysis of the reproducing kernel particle method. Comput. Methods Appl. Mech. Eng. 190, 6157\u20136181 (2001)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"9159_CR12","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/BF02736130","volume":"3","author":"WK Liu","year":"1996","unstructured":"Liu, W.K., Chen, Y., Jun, S., Chen, J.S., Belytschko, T., Pan, C., Uras, R.A., Chang, C.T.: Overview and applications of reproducing kernel particle methods. Arch. Comput. Methods Eng. State Art Rev. 3, 3\u201380 (1996)","journal-title":"Arch. Comput. Methods Eng. State Art Rev."},{"key":"9159_CR13","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1016\/S0045-7825(96)01087-0","volume":"139","author":"JM Melenk","year":"1996","unstructured":"Melenk, J.M., Babu\u0161ka, I.: The partition of unity finite element method: theory and application. Comput. Methods Appl. Mech. Eng. 139, 289\u2013314 (1996)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"9159_CR14","doi-asserted-by":"crossref","unstructured":"Stein, E.M.: Singular Integrals and Differentiability Properties of Functions. Princeton Univ. Press (1970)","DOI":"10.1515\/9781400883882"},{"key":"9159_CR15","unstructured":"Strang, G., Fix, G.: A Fourier analysis of the finite element variational method, in constructive aspects of functional analysis. In: Edizioni Cremonese, pp. 795\u2013840 (1973)"},{"key":"9159_CR16","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/S0045-7825(99)00072-9","volume":"181","author":"T Strouboulis","year":"2001","unstructured":"Strouboulis, T., Babu\u0161ka, I., Copps, K.: The design and analysis of the generalized finite element method. Comput. Methods Appl. Mech. Eng. 181, 43\u201369 (2001)","journal-title":"Comput. Methods Appl. Mech. Eng."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-010-9159-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-010-9159-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-010-9159-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T20:10:06Z","timestamp":1559160606000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-010-9159-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,6,4]]},"references-count":16,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2011,5]]}},"alternative-id":["9159"],"URL":"https:\/\/doi.org\/10.1007\/s10444-010-9159-y","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,6,4]]}}}