{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,23]],"date-time":"2026-06-23T06:50:38Z","timestamp":1782197438447,"version":"3.54.5"},"reference-count":53,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2018,4,23]],"date-time":"2018-04-23T00:00:00Z","timestamp":1524441600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2018,4,23]],"date-time":"2018-04-23T00:00:00Z","timestamp":1524441600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000181","name":"AFOSR","doi-asserted-by":"crossref","award":["FA9550-12-1-0399"],"award-info":[{"award-number":["FA9550-12-1-0399"]}],"id":[{"id":"10.13039\/100000181","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":[[2018,10]]},"DOI":"10.1007\/s10915-018-0715-9","type":"journal-article","created":{"date-parts":[[2018,4,23]],"date-time":"2018-04-23T12:02:21Z","timestamp":1524484941000},"page":"443-466","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations"],"prefix":"10.1007","volume":"77","author":[{"given":"Mark","family":"Ainsworth","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4578-924X","authenticated-orcid":false,"given":"Guosheng","family":"Fu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2018,4,23]]},"reference":[{"key":"715_CR1","doi-asserted-by":"crossref","unstructured":"Ainsworth, M.: A posteriori error estimation for lowest order Raviart-Thomas mixed finite elements. SIAM J. Sci. Comput. 30, 189\u2013204 (2007\/2008)","DOI":"10.1137\/06067331X"},{"key":"715_CR2","doi-asserted-by":"publisher","first-page":"2320","DOI":"10.1137\/S0036142903425112","volume":"42","author":"M Ainsworth","year":"2005","unstructured":"Ainsworth, M.: Robust a posteriori error estimation for nonconforming finite element approximation. SIAM J. Numer. Anal. 42, 2320\u20132341 (2005)","journal-title":"SIAM J. Numer. Anal."},{"key":"715_CR3","doi-asserted-by":"publisher","first-page":"1777","DOI":"10.1137\/060665993","volume":"45","author":"M Ainsworth","year":"2007","unstructured":"Ainsworth, M.: A posteriori error estimation for discontinuous Galerkin finite element approximation. SIAM J. Numer. Anal. 45, 1777\u20131798 (2007)","journal-title":"SIAM J. Numer. Anal."},{"key":"715_CR4","doi-asserted-by":"publisher","first-page":"2618","DOI":"10.1016\/j.cam.2010.01.037","volume":"234","author":"M Ainsworth","year":"2010","unstructured":"Ainsworth, M.: A framework for obtaining guaranteed error bounds for finite element approximations. J. Comput. Appl. Math. 234, 2618\u20132632 (2010)","journal-title":"J. Comput. Appl. Math."},{"key":"715_CR5","doi-asserted-by":"publisher","first-page":"436","DOI":"10.1016\/j.jcp.2011.09.011","volume":"231","author":"M Ainsworth","year":"2012","unstructured":"Ainsworth, M., Ma, X.: Non-uniform order mixed FEM approximation: implementation, post-processing, computable error bound and adaptivity. J. Comput. Phys. 231, 436\u2013453 (2012)","journal-title":"J. Comput. Phys."},{"key":"715_CR6","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1007\/BF01385738","volume":"65","author":"M Ainsworth","year":"1993","unstructured":"Ainsworth, M., Oden, J.T.: A unified approach to a posteriori error estimation using element residual methods. Numer. Math. 65, 23\u201350 (1993)","journal-title":"Numer. Math."},{"key":"715_CR7","series-title":"Pure and Applied Mathematics (New York)","doi-asserted-by":"publisher","DOI":"10.1002\/9781118032824","volume-title":"A Posteriori Error Estimation in Finite Element Analysis","author":"M Ainsworth","year":"2000","unstructured":"Ainsworth, M., Oden, J.T.: A Posteriori Error Estimation in Finite Element Analysis. Pure and Applied Mathematics (New York). Wiley, New York (2000)"},{"key":"715_CR8","doi-asserted-by":"publisher","first-page":"3207","DOI":"10.1137\/07070838X","volume":"46","author":"M Ainsworth","year":"2008","unstructured":"Ainsworth, M., Rankin, R.: Fully computable bounds for the error in nonconforming finite element approximations of arbitrary order on triangular elements. SIAM J. Numer. Anal. 46, 3207\u20133232 (2008)","journal-title":"SIAM J. Numer. Anal."},{"key":"715_CR9","doi-asserted-by":"publisher","first-page":"4112","DOI":"10.1137\/080725945","volume":"47","author":"M Ainsworth","year":"2010","unstructured":"Ainsworth, M., Rankin, R.: Fully computable error bounds for discontinuous Galerkin finite element approximations on meshes with an arbitrary number of levels of hanging nodes. SIAM J. Numer. Anal. 47, 4112\u20134141 (2010)","journal-title":"SIAM J. Numer. Anal."},{"key":"715_CR10","doi-asserted-by":"publisher","first-page":"254","DOI":"10.1093\/imanum\/drp025","volume":"31","author":"M Ainsworth","year":"2011","unstructured":"Ainsworth, M., Rankin, R.: Constant free error bounds for nonuniform order discontinuous Galerkin finite-element approximation on locally refined meshes with hanging nodes. IMA J. Numer. Anal. 31, 254\u2013280 (2011)","journal-title":"IMA J. Numer. Anal."},{"key":"715_CR11","doi-asserted-by":"publisher","first-page":"1099","DOI":"10.1002\/num.20663","volume":"28","author":"M Ainsworth","year":"2012","unstructured":"Ainsworth, M., Rankin, R.: Technical note: a note on the selection of the penalty parameter for discontinuous Galerkin finite element schemes. Numer. Methods Partial Differ. Equ. 28, 1099\u20131104 (2012)","journal-title":"Numer. Methods Partial Differ. Equ."},{"key":"715_CR12","doi-asserted-by":"crossref","unstructured":"Arnold, D.N., Brezzi, F., Cockburn, B., Marini, L.D.: Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal. 39, 1749\u20131779 (2001\/2002)","DOI":"10.1137\/S0036142901384162"},{"key":"715_CR13","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":"715_CR14","doi-asserted-by":"publisher","first-page":"1189","DOI":"10.1016\/j.cma.2008.12.010","volume":"198","author":"D Braess","year":"2009","unstructured":"Braess, D., Pillwein, V., Sch\u00f6berl, J.: Equilibrated residual error estimates are $$p$$-robust. Comput. Methods Appl. Mech. Eng. 198, 1189\u20131197 (2009)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"715_CR15","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1137\/100803857","volume":"50","author":"Z Cai","year":"2012","unstructured":"Cai, Z., Zhang, S.: Robust equilibrated residual error estimator for diffusion problems: conforming elements. SIAM J. Numer. Anal. 50, 151\u2013170 (2012)","journal-title":"SIAM J. Numer. Anal."},{"key":"715_CR16","doi-asserted-by":"publisher","first-page":"309","DOI":"10.4208\/jcm.2009.10-m1010","volume":"28","author":"C Carstensen","year":"2010","unstructured":"Carstensen, C., Merdon, C.: Estimator competition for Poisson problems. J. Comput. Math. 28, 309\u2013330 (2010)","journal-title":"J. Comput. Math."},{"key":"715_CR17","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1016\/j.cam.2012.12.021","volume":"249","author":"C Carstensen","year":"2013","unstructured":"Carstensen, C., Merdon, C.: Computational survey on a posteriori error estimators for nonconforming finite element methods for the Poisson problem. J. Comput. Appl. Math. 249, 74\u201394 (2013)","journal-title":"J. Comput. Appl. Math."},{"key":"715_CR18","doi-asserted-by":"crossref","first-page":"13","DOI":"10.4208\/nmtma.2011.m1007","volume":"4","author":"C Carstensen","year":"2011","unstructured":"Carstensen, C., Hoppe, R.H.W., Sharma, N., Warburton, T.: Adaptive hybridized interior penalty discontinuous Galerkin methods for H(curl)-elliptic problems. Numer. Math. Theory Methods Appl. 4, 13\u201337 (2011)","journal-title":"Numer. Math. Theory Methods Appl."},{"key":"715_CR19","doi-asserted-by":"publisher","first-page":"509","DOI":"10.4208\/nmtma.2011.m1032","volume":"5","author":"C Carstensen","year":"2012","unstructured":"Carstensen, C., Eigel, M., Hoppe, R.H.W., L\u00f6bhard, C.: A review of unified a posteriori finite element error control. Numer. Math. Theory Methods Appl. 5, 509\u2013558 (2012)","journal-title":"Numer. Math. Theory Methods Appl."},{"key":"715_CR20","first-page":"437","volume":"36","author":"H Chen","year":"2016","unstructured":"Chen, H., Li, J., Qiu, W.: Robust a posteriori error estimates for HDG method for convection-diffusion equations. IMA J. Numer. Anal. 36, 437\u2013462 (2016)","journal-title":"IMA J. Numer. Anal."},{"key":"715_CR21","doi-asserted-by":"publisher","first-page":"287","DOI":"10.1016\/j.cma.2018.01.030","volume":"333","author":"H Chen","year":"2018","unstructured":"Chen, H., Qiu, W., Shi, K.: A priori and computable a posteriori error estimates for an HDG method for the coercive Maxwell equations. Comput. Methods Appl. Mech. Eng. 333, 287\u2013310 (2018)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"715_CR22","doi-asserted-by":"publisher","first-page":"1236","DOI":"10.1002\/num.20315","volume":"24","author":"S Cochez-Dhondt","year":"2008","unstructured":"Cochez-Dhondt, S., Nicaise, S.: Equilibrated error estimators for discontinuous Galerkin methods. Numer. Methods Partial Differ. Equ. 24, 1236\u20131252 (2008)","journal-title":"Numer. Methods Partial Differ. Equ."},{"key":"715_CR23","doi-asserted-by":"publisher","first-page":"582","DOI":"10.1007\/s10915-011-9522-2","volume":"51","author":"B Cockburn","year":"2012","unstructured":"Cockburn, B., Zhang, W.: A posteriori error estimates for HDG methods. J. Sci. Comput. 51, 582\u2013607 (2012)","journal-title":"J. Sci. Comput."},{"key":"715_CR24","doi-asserted-by":"publisher","first-page":"676","DOI":"10.1137\/120866269","volume":"51","author":"B Cockburn","year":"2013","unstructured":"Cockburn, B., Zhang, W.: A posteriori error analysis for hybridizable discontinuous Galerkin methods for second order elliptic problems. SIAM J. Numer. Anal. 51, 676\u2013693 (2013)","journal-title":"SIAM J. Numer. Anal."},{"key":"715_CR25","doi-asserted-by":"publisher","first-page":"1063","DOI":"10.1090\/S0025-5718-2013-02789-5","volume":"83","author":"B Cockburn","year":"2014","unstructured":"Cockburn, B., Zhang, W.: An a posteriori error estimate for the variable-degree Raviart\u2013Thomas method. Math. Comput. 83, 1063\u20131082 (2014)","journal-title":"Math. Comput."},{"key":"715_CR26","doi-asserted-by":"publisher","first-page":"1319","DOI":"10.1137\/070706616","volume":"47","author":"B Cockburn","year":"2009","unstructured":"Cockburn, B., Gopalakrishnan, J., Lazarov, R.: Unified hybridization of discontinuous Galerkin, mixed and continuous Galerkin methods for second order elliptic problems. SIAM J. Numer. Anal. 47, 1319\u20131365 (2009)","journal-title":"SIAM J. Numer. Anal."},{"key":"715_CR27","doi-asserted-by":"publisher","first-page":"1351","DOI":"10.1090\/S0025-5718-10-02334-3","volume":"79","author":"B Cockburn","year":"2010","unstructured":"Cockburn, B., Gopalakrishnan, J., Sayas, F.-J.: A projection-based error analysis of HDG methods. Math. Comput. 79, 1351\u20131367 (2010)","journal-title":"Math. Comput."},{"key":"715_CR28","doi-asserted-by":"publisher","first-page":"1113","DOI":"10.1090\/mcom\/3014","volume":"85","author":"B Cockburn","year":"2016","unstructured":"Cockburn, B., Nochetto, R.H., Zhang, W.: Contraction property of adaptive hybridizable discontinuous Galerkin methods. Math. Comput. 85, 1113\u20131141 (2016)","journal-title":"Math. Comput."},{"key":"715_CR29","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1051\/m2an\/1996300403851","volume":"30","author":"E Dari","year":"1996","unstructured":"Dari, E., Duran, R., Padra, C., Vampa, V.: A posteriori error estimators for nonconforming finite element methods. RAIRO Mod\u00e9l. Math. Anal. Num\u00e9r. 30, 385\u2013400 (1996)","journal-title":"RAIRO Mod\u00e9l. Math. Anal. Num\u00e9r."},{"key":"715_CR30","doi-asserted-by":"publisher","first-page":"2099","DOI":"10.1137\/S0036142996300191","volume":"35","author":"P Destuynder","year":"1998","unstructured":"Destuynder, P., M\u00e9tivet, B.: Explicit error bounds for a nonconforming finite element method. SIAM J. Numer. Anal. 35, 2099\u20132115 (1998)","journal-title":"SIAM J. Numer. Anal."},{"key":"715_CR31","doi-asserted-by":"publisher","first-page":"1379","DOI":"10.1090\/S0025-5718-99-01093-5","volume":"68","author":"P Destuynder","year":"1999","unstructured":"Destuynder, P., M\u00e9tivet, B.: Explicit error bounds in a conforming finite element method. Math. Comput. 68, 1379\u20131396 (1999)","journal-title":"Math. Comput."},{"key":"715_CR32","doi-asserted-by":"publisher","first-page":"687","DOI":"10.1093\/imanum\/drs018","volume":"33","author":"H Egger","year":"2013","unstructured":"Egger, H., Waluga, C.: $$hp$$ analysis of a hybrid DG method for Stokes flow. IMA J. Numer. Anal. 33, 687\u2013721 (2013)","journal-title":"IMA J. Numer. Anal."},{"key":"715_CR33","doi-asserted-by":"publisher","first-page":"843","DOI":"10.1016\/j.cam.2006.08.029","volume":"206","author":"Y Epshteyn","year":"2007","unstructured":"Epshteyn, Y., Rivi\u00e8re, B.: Estimation of penalty parameters for symmetric interior penalty Galerkin methods. J. Comput. Appl. Math. 206, 843\u2013872 (2007)","journal-title":"J. Comput. Appl. Math."},{"key":"715_CR34","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1016\/j.crma.2013.01.001","volume":"351","author":"A Ern","year":"2013","unstructured":"Ern, A., Vohral\u00edk, M.: Four closely related equilibrated flux reconstructions for nonconforming finiteelements. C. R. Math. Acad. Sci. Paris 351, 77\u201380 (2013)","journal-title":"C. R. Math. Acad. Sci. Paris"},{"key":"715_CR35","doi-asserted-by":"publisher","first-page":"1058","DOI":"10.1137\/130950100","volume":"53","author":"A Ern","year":"2015","unstructured":"Ern, A., Vohral\u00edk, M.: Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations. SIAM J. Numer. Anal. 53, 1058\u20131081 (2015)","journal-title":"SIAM J. Numer. Anal."},{"key":"715_CR36","doi-asserted-by":"publisher","first-page":"1192","DOI":"10.1007\/s10915-016-0233-6","volume":"69","author":"GN Gatica","year":"2016","unstructured":"Gatica, G.N., Sequeira, F.A.: A priori and a posteriori error analyses of an augmented HDG method for a class of quasi-Newtonian Stokes flows. J. Sci. Comput. 69, 1192\u20131250 (2016)","journal-title":"J. Sci. Comput."},{"key":"715_CR37","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61623-5","volume-title":"Finite element methods for Navier\u2013Stokes equations","author":"V Girault","year":"1986","unstructured":"Girault, V., Raviart, P.-A.: Finite element methods for Navier\u2013Stokes equations. Springer, Berlin (1986)"},{"key":"715_CR38","doi-asserted-by":"publisher","first-page":"1491","DOI":"10.1002\/nme.1620200811","volume":"20","author":"DW Kelly","year":"1984","unstructured":"Kelly, D.W.: The self-equilibration of residuals and complementary a posteriori error estimates in the finite element method. Int. J. Numer. Methods Eng. 20, 1491\u20131506 (1984)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"715_CR39","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1090\/S0025-5718-06-01903-X","volume":"76","author":"KY Kim","year":"2007","unstructured":"Kim, K.Y.: A posteriori error analysis for locally conservative mixed methods. Math. Comput. 76, 43\u201366 (2007)","journal-title":"Math. Comput."},{"key":"715_CR40","doi-asserted-by":"publisher","first-page":"1065","DOI":"10.1016\/j.apnum.2006.09.010","volume":"57","author":"KY Kim","year":"2007","unstructured":"Kim, K.Y.: A posteriori error estimators for locally conservative methods of nonlinear elliptic problems. Appl. Numer. Math. 57, 1065\u20131080 (2007)","journal-title":"Appl. Numer. Math."},{"key":"715_CR41","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1137\/0720033","volume":"20","author":"P Ladev\u00e8ze","year":"1983","unstructured":"Ladev\u00e8ze, P., Leguillon, D.: Error estimate procedure in the finite element method and applications. SIAM J. Numer. Anal. 20, 485\u2013509 (1983)","journal-title":"SIAM J. Numer. Anal."},{"key":"715_CR42","unstructured":"Lehrenfeld, C.: Hybrid Discontinuous, Galerkin methods for solving incompressible flow problems. Diploma Thesis, MathCCES\/IGPM, RWTH Aachen (2010)"},{"key":"715_CR43","doi-asserted-by":"publisher","first-page":"1394","DOI":"10.1137\/S0036142903433790","volume":"42","author":"R Luce","year":"2004","unstructured":"Luce, R., Wohlmuth, B.I.: A local a posteriori error estimator based on equilibrated fluxes. SIAM J. Numer. Anal. 42, 1394\u20131414 (2004)","journal-title":"SIAM J. Numer. Anal."},{"key":"715_CR44","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1093\/imanum\/drm008","volume":"28","author":"S Nicaise","year":"2008","unstructured":"Nicaise, S., Witowski, K., Wohlmuth, B.I.: An a posteriori error estimator for the Lam\u00e9 equation based on equilibrated fluxes. IMA J. Numer. Anal. 28, 331\u2013353 (2008)","journal-title":"IMA J. Numer. Anal."},{"key":"715_CR45","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1007\/s10915-014-9962-6","volume":"65","author":"I Oikawa","year":"2015","unstructured":"Oikawa, I.: A hybridized discontinuous Galerkin method with reduced stabilization. J. Sci. Comput. 65, 327\u2013340 (2015)","journal-title":"J. Sci. Comput."},{"key":"715_CR46","unstructured":"Sch\u00f6berl, J.: C++11 Implementation of Finite Elements in NGSolve, 2014. ASC Report 30\/2014, Vienna University of Technology, Institute for Analysis and Scientific Computing (2014)"},{"key":"715_CR47","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1007\/s007910050004","volume":"1","author":"J Sch\u00f6berl","year":"1997","unstructured":"Sch\u00f6berl, J.: NETGEN an advancing front 2d\/3d-mesh generator based on abstract rules. Comput. Vis. Sci. 1, 41\u201352 (1997)","journal-title":"Comput. Vis. Sci."},{"key":"715_CR48","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1016\/j.jcp.2004.11.017","volume":"205","author":"K Shahbazi","year":"2005","unstructured":"Shahbazi, K.: An explicit expression for the penalty parameter of the interior penalty method. J. Comput. Phys. 205, 401\u2013407 (2005)","journal-title":"J. Comput. Phys."},{"key":"715_CR49","unstructured":"Shewchuk, J.: What is a good linear finite element? Interpolation, conditioning, anisotropy and quality measures. Tech. report, Department of Computer Science, University of California, Berkeley (2003)"},{"key":"715_CR50","volume-title":"A review of a posteriori error estimation and adaptive mesh-refinement techniques","author":"R Verf\u00fcrth","year":"1996","unstructured":"Verf\u00fcrth, R.: A review of a posteriori error estimation and adaptive mesh-refinement techniques. Wiley-Teubner, Chichester (1996)"},{"key":"715_CR51","doi-asserted-by":"publisher","first-page":"687","DOI":"10.1016\/j.crma.2008.03.006","volume":"346","author":"M Vohral\u00edk","year":"2008","unstructured":"Vohral\u00edk, M.: A posteriori error estimation in the conforming finite element method based on its local conservativity and using local minimization. C. R. Math. Acad. Sci. Paris 346, 687\u2013690 (2008)","journal-title":"C. R. Math. Acad. Sci. Paris"},{"key":"715_CR52","doi-asserted-by":"publisher","first-page":"2765","DOI":"10.1016\/S0045-7825(03)00294-9","volume":"192","author":"T Warburton","year":"2003","unstructured":"Warburton, T., Hesthaven, J.S.: On the constants in $$hp$$-finite element trace inverse inequalities. Comput. Methods Appl. Mech. Eng. 192, 2765\u20132773 (2003)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"715_CR53","unstructured":"Zaglmayr, S.: High order finite element methods for electromagnetic field computation. PhD thesis, Johannes Kepler Universit \u00e4t Linz, Linz (2006)"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-018-0715-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-018-0715-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-018-0715-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,17]],"date-time":"2020-05-17T09:31:22Z","timestamp":1589707882000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-018-0715-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,23]]},"references-count":53,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,10]]}},"alternative-id":["715"],"URL":"https:\/\/doi.org\/10.1007\/s10915-018-0715-9","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,4,23]]},"assertion":[{"value":"12 June 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 February 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 April 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 April 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}