{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T02:35:41Z","timestamp":1773023741635,"version":"3.50.1"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2017,2,17]],"date-time":"2017-02-17T00:00:00Z","timestamp":1487289600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"CONICYT-Chile","award":["BASAL project CMM, Universidad de Chile"],"award-info":[{"award-number":["BASAL project CMM, Universidad de Chile"]}]},{"name":"Project Anillo","award":["ACT1118 (ANANUM)"],"award-info":[{"award-number":["ACT1118 (ANANUM)"]}]},{"name":"Ministery of Education of Spain","award":["Project MTM2013-43671-P"],"award-info":[{"award-number":["Project MTM2013-43671-P"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2017,9]]},"DOI":"10.1007\/s10915-017-0384-0","type":"journal-article","created":{"date-parts":[[2017,2,17]],"date-time":"2017-02-17T14:20:36Z","timestamp":1487341236000},"page":"1049-1079","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["A New Mixed Finite Element Method for Elastodynamics with Weak Symmetry"],"prefix":"10.1007","volume":"72","author":[{"given":"Carlos","family":"Garc\u00eda","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gabriel N.","family":"Gatica","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Salim","family":"Meddahi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,2,17]]},"reference":[{"key":"384_CR1","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1007\/BF03167064","volume":"1","author":"DN Arnold","year":"1984","unstructured":"Arnold, D.N., Brezzi, F., Douglas, J.: PEERS: A new mixed finite element method for plane elasticity. Japan J. Appl. Math. 1, 347\u2013367 (1984)","journal-title":"Japan J. Appl. Math."},{"key":"384_CR2","doi-asserted-by":"crossref","first-page":"1699","DOI":"10.1090\/S0025-5718-07-01998-9","volume":"76","author":"DN Arnold","year":"2007","unstructured":"Arnold, D.N., Falk, R.S., Winther, R.: Mixed finite element methods for linear elasticity with weakly imposed symmetry. Math. Comp. 76, 1699\u20131723 (2007)","journal-title":"Math. Comp."},{"key":"384_CR3","doi-asserted-by":"crossref","first-page":"274","DOI":"10.1137\/13095032X","volume":"52","author":"DN Arnold","year":"2014","unstructured":"Arnold, D.N., Lee, J.J.: Mixed methods for elastodynamics with weak symmetry. SIAM J. Numer. Anal. 52, 274\u20132769 (2014)","journal-title":"SIAM J. Numer. Anal."},{"key":"384_CR4","doi-asserted-by":"crossref","first-page":"2109","DOI":"10.1137\/S0036142999359189","volume":"39","author":"E B\u00e9cache","year":"2002","unstructured":"B\u00e9cache, E., Joly, P., Tsogka, C.: A new family of mixed finite elements for the linear elastodynamic problem. SIAM J. Numer. Anal. 39, 2109\u20132132 (2002)","journal-title":"SIAM J. Numer. Anal."},{"key":"384_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.3934\/cpaa.2009.8.1","volume":"8","author":"D Boffi","year":"2009","unstructured":"Boffi, D., Brezzi, F., Fortin, M.: Reduced symmetry elements in linear elasticity. Comm. Pure Appl. Anal. 8, 1\u201328 (2009)","journal-title":"Comm. Pure Appl. Anal."},{"issue":"5","key":"384_CR6","doi-asserted-by":"crossref","first-page":"1288","DOI":"10.1016\/j.cam.2010.08.014","volume":"235","author":"L Boulaajine","year":"2011","unstructured":"Boulaajine, L., Farhloul, M., Paquet, L.: A priori error estimation for the dual mixed finite element method of the elastodynamic problem in a polygonal domain II. J. Comput. Appl. Math. 235(5), 1288\u20131310 (2011)","journal-title":"J. Comput. Appl. Math."},{"key":"384_CR7","series-title":"Springer Series in Computational Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-36519-5","volume-title":"Mixed Finite Element Methods and Applications.","author":"D Boffi","year":"2013","unstructured":"Boffi, D., Brezzi, F., Fortin, M.: Mixed Finite Element Methods and Applications. Springer Series in Computational Mathematics, vol. 44. Springer, Heidelberg (2013)"},{"key":"384_CR8","doi-asserted-by":"crossref","first-page":"1331","DOI":"10.1090\/S0025-5718-10-02343-4","volume":"79","author":"B Cockburn","year":"2010","unstructured":"Cockburn, B., Gopalakrishnan, J., Guzm\u00e1n, J.: A new elasticity element made for enforcing weak stress symmetry. Math. Comp. 79, 1331\u20131349 (2010)","journal-title":"Math. Comp."},{"key":"384_CR9","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1007\/BF01389623","volume":"49","author":"J Douglas Jr","year":"1986","unstructured":"Douglas Jr., J., Gupta, C.P.: Superconvergence for a mixed finite element method for elastic wave propagation in a plane domain. Numer. Math. 49, 189\u2013202 (1986)","journal-title":"Numer. Math."},{"key":"384_CR10","doi-asserted-by":"crossref","unstructured":"Evans, L.C.: Partial Differential Equations. Second edition. Graduate Studies in Mathematics, vol 19. American Mathematical Society, Providence, RI (2010)","DOI":"10.1090\/gsm\/019"},{"key":"384_CR11","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1007\/s002110050270","volume":"76","author":"M Farhloul","year":"1997","unstructured":"Farhloul, M., Fortin, M.: Dual hybrid methods for the elasticity and the Stokes problems: a unified approach. Numer. Math. 76, 419\u2013440 (1997)","journal-title":"Numer. Math."},{"key":"384_CR12","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1051\/m2an:2006003","volume":"40","author":"GN Gatica","year":"2006","unstructured":"Gatica, G.N.: Analysis of a new augmented mixed finite element method for linear elasticity allowing $$\\mathbb{RT}_0-{\\mathbb{P}}_1-{\\mathbb{P}}_0$$ RT 0 - P 1 - P 0 approximations. M2AN. Math. Model. Numer. Anal. 40, 1\u201328 (2006)","journal-title":"Math. Model. Numer. Anal."},{"key":"384_CR13","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-03695-3","volume-title":"A simple introduction to the mixed finite element method","author":"GN Gatica","year":"2014","unstructured":"Gatica, G.N.: A simple introduction to the mixed finite element method. Theory and Applications. Springer Briefs in Mathematics. Springer, Cham (2014)"},{"key":"384_CR14","doi-asserted-by":"crossref","first-page":"352","DOI":"10.1093\/imanum\/drq047","volume":"32","author":"J Gopalakrishnan","year":"2012","unstructured":"Gopalakrishnan, J., Guzm\u00e1n, J.: A second elasticity element using the matrix bubble. IMA J. Numer. Anal. 32, 352\u2013372 (2012)","journal-title":"IMA J. Numer. Anal."},{"key":"384_CR15","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1017\/S0962492902000041","volume":"11","author":"R Hiptmair","year":"2002","unstructured":"Hiptmair, R.: Finite elements in computational electromagnetism. Acta Numerica 11, 237\u2013339 (2002)","journal-title":"Acta Numerica"},{"key":"384_CR16","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-23099-8","volume-title":"Automated Solution of Differential Equations by the Finite Element Method","author":"A Logg","year":"2012","unstructured":"Logg, A., Mardal, K.-A., Wells, G.N., et al.: Automated Solution of Differential Equations by the Finite Element Method. Springer, Berlin (2012)"},{"key":"384_CR17","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1007\/BF01385506","volume":"61","author":"ChG Makridakis","year":"1992","unstructured":"Makridakis, ChG: On mixed finite element methods for linear elastodynamics. Numer. Math. 61, 235\u2013260 (1992)","journal-title":"Numer. Math."},{"key":"384_CR18","doi-asserted-by":"crossref","first-page":"1041","DOI":"10.1137\/120863010","volume":"51","author":"S Meddahi","year":"2013","unstructured":"Meddahi, S., Mora, D., Rodr\u00edguez, R.: Finite element spectral analysis for the mixed formulation of the elasticity equations. SIAM J. Numer. Anal. 51, 1041\u20131063 (2013)","journal-title":"SIAM J. Numer. Anal."},{"key":"384_CR19","series-title":"Texts in Applied Mathematics","volume-title":"An introduction to Partial Differential Equations.","author":"M Renardy","year":"2004","unstructured":"Renardy, M., Rogers, R.: An introduction to Partial Differential Equations. Texts in Applied Mathematics, vol. 13. Springer, New York (2004)"},{"key":"384_CR20","doi-asserted-by":"crossref","unstructured":"Roub\u00ed\u010dek, T.: Nonlinear Partial Differential Equations with Applications. 2nd edition. International Series of Numerical Mathematics, vol. 153. Birkhuser\/Springer Basel AG, Basel (2013)","DOI":"10.1007\/978-3-0348-0513-1"},{"key":"384_CR21","doi-asserted-by":"crossref","first-page":"513","DOI":"10.1007\/BF01397550","volume":"53","author":"R Stenberg","year":"1988","unstructured":"Stenberg, R.: A family of mixed finite elements for the elasticity problem. Numer. Math. 53, 513\u2013538 (1988)","journal-title":"Numer. Math."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-017-0384-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-017-0384-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-017-0384-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,2]],"date-time":"2020-10-02T16:47:51Z","timestamp":1601657271000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-017-0384-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,2,17]]},"references-count":21,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,9]]}},"alternative-id":["384"],"URL":"https:\/\/doi.org\/10.1007\/s10915-017-0384-0","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,2,17]]}}}