{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,16]],"date-time":"2026-05-16T20:46:57Z","timestamp":1778964417231,"version":"3.51.4"},"reference-count":37,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2018,4,9]],"date-time":"2018-04-09T00:00:00Z","timestamp":1523232000000},"content-version":"tdm","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":[[2019,3]]},"DOI":"10.1007\/s11075-018-0516-0","type":"journal-article","created":{"date-parts":[[2018,4,8]],"date-time":"2018-04-08T21:42:38Z","timestamp":1523223758000},"page":"1037-1058","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":22,"title":["Implementation of the virtual element method for coupled thermo-elasticity in Abaqus"],"prefix":"10.1007","volume":"80","author":[{"given":"V.","family":"Dhanush","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0409-0096","authenticated-orcid":false,"given":"S.","family":"Natarajan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,4,9]]},"reference":[{"key":"516_CR1","unstructured":"Wachspress, E.L.: Springer, New York (1971)"},{"issue":"12","key":"516_CR2","doi-asserted-by":"publisher","first-page":"2159","DOI":"10.1002\/nme.1193","volume":"61","author":"N Sukumar","year":"2004","unstructured":"Sukumar, N.: Int. J. Numer. Methods Eng. 61(12), 2159 (2004)","journal-title":"Int. J. Numer. Methods Eng."},{"issue":"1","key":"516_CR3","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1007\/BF02905933","volume":"13","author":"N Sukumar","year":"2006","unstructured":"Sukumar, N., Malsch, E.A.: Arch. Comput. Methods Eng. 13(1), 129 (2006)","journal-title":"Arch. Comput. Methods Eng."},{"key":"516_CR4","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1007\/s00158-011-0696-x","volume":"45","author":"C Talischi","year":"2012","unstructured":"Talischi, C., Paulino, G.H., Pereira, A., Menezes, I.F.: Struct. Multidisc. Optim. 45, 329 (2012)","journal-title":"Struct. Multidisc. Optim."},{"key":"516_CR5","doi-asserted-by":"publisher","first-page":"2691","DOI":"10.1090\/S0025-5718-2014-02807-X","volume":"83","author":"A Rand","year":"2014","unstructured":"Rand, A., Gillette, A., Bajaj, C.: Math. Comput. 83, 2691 (2014)","journal-title":"Math. Comput."},{"issue":"2","key":"516_CR6","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1016\/j.finel.2005.04.004","volume":"42","author":"K Sze","year":"2005","unstructured":"Sze, K., Sheng, N.: Finite Elem. Anal. Des. 42(2), 107 (2005)","journal-title":"Finite Elem. Anal. Des."},{"key":"516_CR7","unstructured":"Botsch, M., Pauly, M., Kobbelt, L., Alliez, P., L\u00e9vy, B., Bischoff, S., R\u00f6ossl, C.: \n                    https:\/\/hal.inria.fr\/inria-00186820\n                    \n                   (2007)"},{"issue":"4","key":"516_CR8","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1007\/s00466-011-0595-4","volume":"48","author":"K Jayabal","year":"2011","unstructured":"Jayabal, K., Menzel, A., Arockiarajan, A., Srinivasan, S.: Comput. Mech. 48(4), 421 (2011)","journal-title":"Comput. Mech."},{"key":"516_CR9","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.finel.2016.06.004","volume":"120","author":"J Jaskowiec","year":"2016","unstructured":"Jaskowiec, J., Plucinski, P., Stankiewicz, A.: Finite Elem. Anal. Des. 120, 1 (2016)","journal-title":"Finite Elem. Anal. Des."},{"issue":"1","key":"516_CR10","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1007\/s00466-011-0668-4","volume":"50","author":"SOR Biabanaki","year":"2012","unstructured":"Biabanaki, S.O.R., Khoei, A.R.: Comput. Mech. 50(1), 19 (2012)","journal-title":"Comput. Mech."},{"key":"516_CR11","doi-asserted-by":"publisher","unstructured":"Kravtsov, D., Fryazinov, O., Adzhiev, V., Pasko, A., Comninos, P.: In: Proceedings of SIGGRAPH, p. 9. \n                    https:\/\/doi.org\/10.1145\/1599301.1599312\n                    \n                   (2009)","DOI":"10.1145\/1599301.1599312"},{"key":"516_CR12","first-page":"1525","volume":"29","author":"A Pereira","year":"2010","unstructured":"Pereira, A., Talischi, C., Menezes, I.F.M., Paulino, G.H.: Mec\u00e1nica Computacional 29, 1525 (2010)","journal-title":"Mec\u00e1nica Computacional"},{"issue":"2","key":"516_CR13","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1002\/fld.3843","volume":"74","author":"C Talischi","year":"2014","unstructured":"Talischi, C., Pereira, A., Paulino, G.H., Menezes, I.F.M., Carvalho, M.S.: Int. J. Numer. Methods Eng. 74(2), 134 (2014)","journal-title":"Int. J. Numer. Methods Eng."},{"issue":"1","key":"516_CR14","doi-asserted-by":"publisher","first-page":"360","DOI":"10.1016\/j.jcp.2014.04.021","volume":"272","author":"K Lipnikov","year":"2014","unstructured":"Lipnikov, K., Manzini, G.: J. Comput. Phys. 272(1), 360 (2014)","journal-title":"J. Comput. Phys."},{"key":"516_CR15","unstructured":"Beir\u00e3o da Veiga, L., Manzini, G.: The Mimetic Finite Difference Method and the Virtual Element Method for Elliptic Problems with Arbitrary Regularity. Technical Report LA-UR-12-22977 Los Alamos National Laboratory (2012)"},{"key":"516_CR16","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1142\/S0218202512500492","volume":"23","author":"L Beir\u00e3o da Veiga","year":"2013","unstructured":"Beir\u00e3o da Veiga, L, Brezzi, F., Cangiani, A., Manzini, G., Marini, L.D., Russo, A.: Math. Model. Methods Appl. Sci. 23, 199 (2013)","journal-title":"Math. Model. Methods Appl. Sci."},{"issue":"08","key":"516_CR17","doi-asserted-by":"publisher","first-page":"1541","DOI":"10.1142\/S021820251440003X","volume":"24","author":"L Beir\u00e3o da Veiga","year":"2014","unstructured":"Beir\u00e3o da Veiga, L, Brezzi, F., Marini, L.D., Russo, A.: Math. Models Methods Appl. Sci. 24(08), 1541 (2014)","journal-title":"Math. Models Methods Appl. Sci."},{"key":"516_CR18","doi-asserted-by":"publisher","first-page":"132","DOI":"10.1016\/j.cma.2014.05.005","volume":"282","author":"AL Gain","year":"2014","unstructured":"Gain, A.L., Talischi, C., Paulino, G.H.: Comput. Methods Appl. Mech. Eng. 282, 132 (2014)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"2","key":"516_CR19","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1007\/s11401-018-1066-4","volume":"39","author":"LB Da Veiga","year":"2018","unstructured":"Da Veiga, L.B., Brezzi, F., Dassi, F., Marini, L.D., Russo, A.: Chin. Ann. Math. Ser. B 39(2), 315 (2018)","journal-title":"Chin. Ann. Math. Ser. B"},{"key":"516_CR20","doi-asserted-by":"publisher","first-page":"1575","DOI":"10.1142\/S0218202514400041","volume":"24","author":"J Droniou","year":"2010","unstructured":"Droniou, J.: Math. Models Methods Appl. Sci. 24, 1575 (2010)","journal-title":"Math. Models Methods Appl. Sci."},{"issue":"10","key":"516_CR21","doi-asserted-by":"publisher","first-page":"2009","DOI":"10.1142\/S0218202514500146","volume":"24","author":"A Cangiani","year":"2014","unstructured":"Cangiani, A., Georgoulis, E.H., Houston, P.: Math. Models Methods Appl. Sci. 24(10), 2009 (2014)","journal-title":"Math. Models Methods Appl. Sci."},{"key":"516_CR22","doi-asserted-by":"publisher","first-page":"1233","DOI":"10.1007\/s10483-009-1003-3","volume":"30","author":"X hai Tang","year":"2009","unstructured":"hai Tang, X., Wu, S.C., Zheng, C., hai Zhang, J.: Appl. Math. Mech. 30, 1233 (2009)","journal-title":"Appl. Math. Mech."},{"key":"516_CR23","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1016\/j.finel.2014.03.006","volume":"85","author":"S Natarajan","year":"2014","unstructured":"Natarajan, S., Ooi, E.T., Chiong, I., Song, C.: Finite Elem. Anal. Des. 85, 101 (2014)","journal-title":"Finite Elem. Anal. Des."},{"issue":"9","key":"516_CR24","doi-asserted-by":"publisher","first-page":"1086","DOI":"10.1002\/nme.5259","volume":"108","author":"E Ooi","year":"2016","unstructured":"Ooi, E., Song, C., Natarajan, S.: Int. J. Numer. Methods Eng. 108(9), 1086 (2016)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"516_CR25","doi-asserted-by":"publisher","first-page":"218","DOI":"10.1016\/j.enganabound.2017.03.007","volume":"80","author":"S Natarajan","year":"2017","unstructured":"Natarajan, S., Ooi, E.T., Saputra, A., Song, C.: Eng. Anal. Bound. Elem. 80, 218 (2017)","journal-title":"Eng. Anal. Bound. Elem."},{"key":"516_CR26","doi-asserted-by":"crossref","unstructured":"Beir\u00e3o da Veiga, L., Chernov, A., Mascotto, L., Russo, A.: Numerische Mathematik, pp. 581\u2013613 (2018)","DOI":"10.1007\/s00211-017-0921-7"},{"issue":"4","key":"516_CR27","doi-asserted-by":"publisher","first-page":"729","DOI":"10.1142\/S0218202516500160","volume":"26","author":"L Beir\u00e3o da Veiga","year":"2016","unstructured":"Beir\u00e3o da Veiga, L, Brezzi, F., Marini, L., Russo, A.: Math. Models Methods Appl. Sci. 26(4), 729 (2016)","journal-title":"Math. Models Methods Appl. Sci."},{"key":"516_CR28","unstructured":"Andersen, O., Nilsen, H.M., Raynaud, X.: arXiv:\n                    1606.09508\n                    \n                   (2016)"},{"key":"516_CR29","doi-asserted-by":"publisher","first-page":"455","DOI":"10.1016\/j.cma.2012.09.012","volume":"253","author":"F Brezzi","year":"2013","unstructured":"Brezzi, F., Marini, L.D.: Comput. Methods Appl. Mech. Eng. 253, 455 (2013)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"2","key":"516_CR30","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1007\/s00466-017-1405-4","volume":"60","author":"P Wriggers","year":"2017","unstructured":"Wriggers, P., Reddy, B.D., Rust, W., Hudobivnik, B.: J. Comput. Mech. 60(2), 253\u2013268 (2017)","journal-title":"J. Comput. Mech."},{"issue":"1","key":"516_CR31","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1002\/pamm.201510006","volume":"15","author":"S Berrone","year":"2015","unstructured":"Berrone, S., Benedetto, M.F., Borio, A., Pieraccini, S., Scial\u00f2, S.: PAMM 15(1), 19 (2015)","journal-title":"PAMM"},{"key":"516_CR32","first-page":"1729","volume":"200","author":"PF Antonietti","year":"2011","unstructured":"Antonietti, P.F., Bruggi, M., Scacchi, S., Verani, M.: Comput. Math. Appl. 200, 1729 (2011)","journal-title":"Comput. Math. Appl."},{"key":"516_CR33","unstructured":"Ortiz-Bernardin, A., Alvarez, C., Hitschfeld-Kahler, N., Russo, A., Silva-Valenzuela, R., Olate-Sanzana, E.: arXiv:\n                    http:\/\/arXiv.org\/abs\/1708.03438\n                    \n                  (2017)"},{"issue":"4","key":"516_CR34","doi-asserted-by":"publisher","first-page":"1141","DOI":"10.1007\/s11075-016-0235-3","volume":"75","author":"OJ Sutton","year":"2017","unstructured":"Sutton, O.J.: Numer. Algorithm. 75(4), 1141 (2017). \n                    https:\/\/doi.org\/10.1007\/s11075-016-0235-3","journal-title":"Numer. Algorithm."},{"key":"516_CR35","unstructured":"Abaqus, Dassault Syst\u00e8mes Simulia Corp, Providence (2012)"},{"key":"516_CR36","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1017\/S0962492914000129","volume":"24","author":"MS Floater","year":"2015","unstructured":"Floater, M.S.: Acta Numerica 24, 161 (2015)","journal-title":"Acta Numerica"},{"key":"516_CR37","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1016\/j.advengsoft.2017.01.006","volume":"105","author":"G Papazafeiropoulos","year":"2017","unstructured":"Papazafeiropoulos, G., niz Calvente, M.M., neda, E.M.P.: Adv. Eng. Softw. 105, 9 (2017)","journal-title":"Adv. Eng. Softw."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-018-0516-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-018-0516-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-018-0516-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,9]],"date-time":"2019-04-09T01:10:32Z","timestamp":1554772232000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-018-0516-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,9]]},"references-count":37,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,3]]}},"alternative-id":["516"],"URL":"https:\/\/doi.org\/10.1007\/s11075-018-0516-0","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,4,9]]},"assertion":[{"value":"25 November 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 March 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 April 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}