{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T20:01:50Z","timestamp":1767902510492,"version":"3.49.0"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2017,4,13]],"date-time":"2017-04-13T00:00:00Z","timestamp":1492041600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2018,2]]},"DOI":"10.1007\/s11075-017-0325-x","type":"journal-article","created":{"date-parts":[[2017,4,13]],"date-time":"2017-04-13T05:44:26Z","timestamp":1492062266000},"page":"491-516","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients"],"prefix":"10.1007","volume":"77","author":[{"given":"Bernard","family":"Bialecki","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andreas","family":"Karageorghis","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,4,13]]},"reference":[{"key":"325_CR1","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1007\/s00211-006-0022-5","volume":"104","author":"L Beir\u00e3o da Veiga","year":"2006","unstructured":"Beir\u00e3o da Veiga, L., Lovadina, C., Pavarino, L.F.: Positive definite balancing Neumann-Neumann preconditioners for nearly incompressible elasticity. Numer. Math. 104, 271\u2013296 (2006)","journal-title":"Numer. Math."},{"key":"325_CR2","doi-asserted-by":"crossref","unstructured":"Bernardi, C., Maday, Y.: Spectral Methods. In: Ciarlet, P.G., Lions, J.L. (eds.) Handbook of Numerical Analysis, vol. V, pp 209\u2013485. North-Holland, Amsterdam (1997)","DOI":"10.1016\/S1570-8659(97)80003-8"},{"key":"325_CR3","doi-asserted-by":"crossref","first-page":"1549","DOI":"10.1137\/S1064827598342407","volume":"22","author":"B Bialecki","year":"2000","unstructured":"Bialecki, B., Karageorghis, A.: Legendre Gauss spectral Galerkin method for the biharmonic Dirichlet problem. SIAM J. Sci. Comput. 22, 1549\u20131569 (2000)","journal-title":"SIAM J. Sci. Comput."},{"key":"325_CR4","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1023\/B:NUMA.0000040056.52424.49","volume":"36","author":"B Bialecki","year":"2004","unstructured":"Bialecki, B., Karageorghis, A.: Legendre Gauss spectral collocation for the Helmholtz equation on a rectangle. Numer. Algorithms 36, 203\u2013227 (2004)","journal-title":"Numer. Algorithms"},{"key":"325_CR5","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/0045-7825(90)90016-F","volume":"80","author":"Y Maday","year":"1990","unstructured":"Maday, Y., Ronquist, E.M.: Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries. Comput. Methods Appl. Mech. Engrg. 80, 91\u2013115 (1990)","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"key":"325_CR6","doi-asserted-by":"crossref","first-page":"3604","DOI":"10.1137\/100791701","volume":"32","author":"LF Pavarino","year":"2010","unstructured":"Pavarino, L.F., Widlund, O.B., Zampini, S.: BDDC preconditioners for spectral element discretizations of almost incompressible elasticity in three dimensions. SIAM J. Sci. Comput. 32, 3604\u20133626 (2010)","journal-title":"SIAM J. Sci. Comput."},{"key":"325_CR7","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1007\/s10915-005-9047-7","volume":"27","author":"LF Pavarino","year":"2006","unstructured":"Pavarino, L.F., Zampieri, E.: Overlapping Schwarz and spectral element methods for linear elasticity and elastic waves. J. Sci. Comput. 27, 51\u201373 (2006)","journal-title":"J. Sci. Comput."},{"key":"325_CR8","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/j.euromechsol.2013.10.004","volume":"44","author":"YT Peet","year":"2014","unstructured":"Peet, Y.T., Fischer, P.F.: Legendre spectral element method with nearly incompressible materials. Eur. J. Mech. A Solids 44, 91\u2013103 (2014)","journal-title":"Eur. J. Mech. A Solids"},{"key":"325_CR9","doi-asserted-by":"crossref","first-page":"1489","DOI":"10.1137\/0915089","volume":"15","author":"J Shen","year":"1994","unstructured":"Shen, J.: Efficient spectral-Galerkin method I. Direct solvers of second- and fourth-order equations using Legendre polynomials. SIAM J. Sci. Comput. 15, 1489\u20131505 (1994)","journal-title":"SIAM J. Sci. Comput."},{"key":"325_CR10","volume-title":"Finite Element Analysis","author":"B Szab\u00f3","year":"1991","unstructured":"Szab\u00f3, B., Babu\u0161ka, I.: Finite Element Analysis. Wiley, New York (1991)"},{"key":"325_CR11","first-page":"135","volume-title":"Spectral Galerkin Method Applied to Some Problems in Elasticity, Algorithms for Approximation","author":"CJ Talbot","year":"2007","unstructured":"Talbot, C.J.: Spectral Galerkin Method Applied to Some Problems in Elasticity, Algorithms for Approximation, pp 135\u2013144. Springer, Berlin (2007)"},{"key":"325_CR12","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1007\/s10915-005-9028-x","volume":"27","author":"CJ Talbot","year":"2006","unstructured":"Talbot, C.J., Crampton, A.: Pseudo spectral methods applied to problems in elasticity. J. Sci. Comput. 27, 443\u2013454 (2006)","journal-title":"J. Sci. Comput."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-017-0325-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-017-0325-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-017-0325-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,1,20]],"date-time":"2018-01-20T06:41:34Z","timestamp":1516430494000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-017-0325-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,4,13]]},"references-count":12,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2018,2]]}},"alternative-id":["325"],"URL":"https:\/\/doi.org\/10.1007\/s11075-017-0325-x","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,4,13]]}}}