{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T06:59:48Z","timestamp":1777532388721,"version":"3.51.4"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2018,8,23]],"date-time":"2018-08-23T00:00:00Z","timestamp":1534982400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2018,8,23]],"date-time":"2018-08-23T00:00:00Z","timestamp":1534982400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"crossref","award":["JP16H02155, JP17H02857"],"award-info":[{"award-number":["JP16H02155, JP17H02857"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"crossref","award":["JP26800091, JP16K13779, JP18H01135, A3 Foresight Program"],"award-info":[{"award-number":["JP26800091, JP16K13779, JP18H01135, A3 Foresight Program"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"crossref","award":["JP17K05609"],"award-info":[{"award-number":["JP17K05609"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100002241","name":"Japan Science and Technology Agency","doi-asserted-by":"crossref","award":["JPMJPR16EA"],"award-info":[{"award-number":["JPMJPR16EA"]}],"id":[{"id":"10.13039\/501100002241","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2019,2]]},"DOI":"10.1007\/s10915-018-0799-2","type":"journal-article","created":{"date-parts":[[2018,8,23]],"date-time":"2018-08-23T11:56:44Z","timestamp":1535025404000},"page":"1111-1131","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["The Gradient Flow Structure of an Extended Maxwell Viscoelastic Model and a Structure-Preserving Finite Element Scheme"],"prefix":"10.1007","volume":"78","author":[{"given":"Masato","family":"Kimura","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8649-2488","authenticated-orcid":false,"given":"Hirofumi","family":"Notsu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yoshimi","family":"Tanaka","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hiroki","family":"Yamamoto","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,8,23]]},"reference":[{"key":"799_CR1","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1115\/1.2736427","volume":"129","author":"OM Abuzeid","year":"2007","unstructured":"Abuzeid, O.M., Eberhard, P.: Linear viscoelastic creep model for the contact of nominal flat surfaces based on fractal geometry: standard linear solid (SLS) material. J. Tribol. 129, 461\u2013466 (2007)","journal-title":"J. Tribol."},{"key":"799_CR2","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":"799_CR3","volume-title":"Viscoelastic Properties of Polymers","author":"JD Ferry","year":"1970","unstructured":"Ferry, J.D.: Viscoelastic Properties of Polymers. Wiley, New York (1970)"},{"key":"799_CR4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-06156-5","volume-title":"Boundary Value Problems in Linear Viscoelasticity","author":"JM Golden","year":"1988","unstructured":"Golden, J.M., Graham, G.A.C.: Boundary Value Problems in Linear Viscoelasticity. Springer, Berlin (1988)"},{"issue":"3\u20134","key":"799_CR5","first-page":"251","volume":"20","author":"F Hecht","year":"2012","unstructured":"Hecht, F.: New development in FreeFem++. J. Numer. Math. 20(3\u20134), 251\u2013265 (2012)","journal-title":"J. Numer. Math."},{"issue":"2\u20135","key":"799_CR6","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1016\/j.cma.2004.05.013","volume":"194","author":"M Karamanou","year":"2005","unstructured":"Karamanou, M., Shaw, S., Warby, M.K., Whiteman, J.R.: Models, algorithms and error estimation for computational viscoelasticity. Comput. Methods Appl. Mech. Eng. 194(2\u20135), 245\u2013265 (2005)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"799_CR7","unstructured":"Kimura, M., Notsu, H., Tanaka, Y., Yamamoto, H.: In preparation"},{"key":"799_CR8","volume-title":"Nonlinear Viscoelastic Solids","author":"FJ Lockett","year":"1972","unstructured":"Lockett, F.J.: Nonlinear Viscoelastic Solids. Academic Press, Paris (1972)"},{"key":"799_CR9","volume-title":"Rheology: Principles, Measurements, and Applications","author":"CW Macosko","year":"1994","unstructured":"Macosko, C.W.: Rheology: Principles, Measurements, and Applications. Wiley-VCH, New York (1994)"},{"key":"799_CR10","volume-title":"Les M\u00e9thods Directes en Th\u00e9ories des \u00c9quations Elliptiques","author":"J Ne\u010das","year":"1967","unstructured":"Ne\u010das, J.: Les M\u00e9thods Directes en Th\u00e9ories des \u00c9quations Elliptiques. Masson, Paris (1967)"},{"issue":"6","key":"799_CR11","doi-asserted-by":"publisher","first-page":"2650","DOI":"10.1137\/05064480X","volume":"44","author":"B Rivi\u00e8re","year":"2006","unstructured":"Rivi\u00e8re, B., Shaw, S.: Discontinuous Galerkin finite element approximation of nonlinear non-Fickian diffusion in viscoelastic polymers. SIAM J. Numer. Anal. 44(6), 2650\u20132670 (2006)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"799_CR12","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1007\/s002110200394","volume":"95","author":"B Rivi\u00e8re","year":"2003","unstructured":"Rivi\u00e8re, B., Shaw, S., Wheeler, M.F., Whiteman, J.R.: Discontinuous galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity. Numerische Mathematik 95(2), 347\u2013376 (2003)","journal-title":"Numerische Mathematik"},{"key":"799_CR13","doi-asserted-by":"publisher","first-page":"955","DOI":"10.1142\/S0218202510004490","volume":"20","author":"ME Rognes","year":"2010","unstructured":"Rognes, M.E., Winther, R.: Mixed finite element methods for linear viscoelasticity using weak symmetry. Math. Models Methods Appl. Sci. 20, 955\u2013985 (2010)","journal-title":"Math. Models Methods Appl. Sci."},{"key":"799_CR14","volume-title":"Design of Adaptive Finite Element Software: The Finite Element Toolbox ALBERTA","author":"A Schmidt","year":"2005","unstructured":"Schmidt, A., Siebert, K.G.: Design of Adaptive Finite Element Software: The Finite Element Toolbox ALBERTA. Springer, Berlin (2005)"},{"issue":"52","key":"799_CR15","doi-asserted-by":"publisher","first-page":"5551","DOI":"10.1016\/j.cma.2004.04.005","volume":"193","author":"S Shaw","year":"2004","unstructured":"Shaw, S., Whiteman, J.R.: A posteriori error estimates for space-time finite element approximation of quasistatic hereditary linear viscoelasticity problems. Comput. Methods Appl. Mech. Eng. 193(52), 5551\u20135572 (2004)","journal-title":"Comput. Methods Appl. Mech. Eng."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-018-0799-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-018-0799-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-018-0799-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,17]],"date-time":"2020-05-17T09:36:36Z","timestamp":1589708196000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-018-0799-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,8,23]]},"references-count":15,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2019,2]]}},"alternative-id":["799"],"URL":"https:\/\/doi.org\/10.1007\/s10915-018-0799-2","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,8,23]]},"assertion":[{"value":"17 February 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 July 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 July 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 August 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}