{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T17:59:55Z","timestamp":1788285595963,"version":"build-2803163510"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2018,11,16]],"date-time":"2018-11-16T00:00:00Z","timestamp":1542326400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2018,11,16]],"date-time":"2018-11-16T00:00:00Z","timestamp":1542326400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000183","name":"Army Research Office","doi-asserted-by":"publisher","award":["W911NF-15-1-0222"],"award-info":[{"award-number":["W911NF-15-1-0222"]}],"id":[{"id":"10.13039\/100000183","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2019,4]]},"DOI":"10.1007\/s10915-018-0868-6","type":"journal-article","created":{"date-parts":[[2018,11,16]],"date-time":"2018-11-16T02:16:47Z","timestamp":1542334607000},"page":"542-563","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Adaptive Characteristic Length for L-SIAC Filtering of FEM Data"],"prefix":"10.1007","volume":"79","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0849-6170","authenticated-orcid":false,"given":"Ashok","family":"Jallepalli","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Robert","family":"Haimes","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Robert M.","family":"Kirby","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2018,11,16]]},"reference":[{"issue":"2","key":"868_CR1","doi-asserted-by":"publisher","first-page":"506","DOI":"10.2514\/1.J054181","volume":"54","author":"J-EW Lombard","year":"2015","unstructured":"Lombard, J.-E.W., Moxey, D., Sherwin, S.J., Hoessler, J.F., Dhandapani, S., Taylor, M.J.: Implicit large-eddy simulation of a wingtip vortex. AIAA J. 54(2), 506\u2013518 (2015)","journal-title":"AIAA J."},{"issue":"119","key":"868_CR2","doi-asserted-by":"publisher","first-page":"20160234","DOI":"10.1098\/rsif.2016.0234","volume":"13","author":"K Chooi","year":"2016","unstructured":"Chooi, K., Comerford, A., Sherwin, S., Weinberg, P.: Intimal and medial contributions to the hydraulic resistance of the arterial wall at different pressures: a combined computational and experimental study. J. R. Soc. Interface 13(119), 20160234 (2016)","journal-title":"J. R. Soc. Interface"},{"issue":"5","key":"868_CR3","doi-asserted-by":"publisher","first-page":"A2179","DOI":"10.1137\/16M1097845","volume":"39","author":"J Docampo-S\u00e1nchez","year":"2017","unstructured":"Docampo-S\u00e1nchez, J., Ryan, J.K., Mirzargar, M., Kirby, R.M.: Multi-dimensional filtering: reducing the dimension through rotation. SIAM J. Sci. Comput. 39(5), A2179\u2013A2200 (2017)","journal-title":"SIAM J. Sci. Comput."},{"issue":"1","key":"868_CR4","doi-asserted-by":"publisher","first-page":"903","DOI":"10.1109\/TVCG.2017.2744058","volume":"24","author":"A Jallepalli","year":"2017","unstructured":"Jallepalli, A., Docampo-S\u00e1nchez, J., Ryan, J.K., Haimes, R., Kirby, R.M.: On the treatment of field quantities and elemental continuity in fem solutions. IEEE Trans. Vis. Comput. Graph. 24(1), 903\u2013912 (2017)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"issue":"1","key":"868_CR5","doi-asserted-by":"publisher","first-page":"A212","DOI":"10.1137\/120874059","volume":"35","author":"H Mirzaee","year":"2013","unstructured":"Mirzaee, H., King, J., Ryan, J.K., Kirby, R.M.: Smoothness-increasing accuracy-conserving filters for discontinuous Galerkin solutions over unstructured triangular meshes. SIAM J. Sci. Comput. 35(1), A212\u2013A230 (2013)","journal-title":"SIAM J. Sci. Comput."},{"key":"868_CR6","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1016\/j.cpc.2015.02.008","volume":"192","author":"CD Cantwell","year":"2015","unstructured":"Cantwell, C.D., Moxey, D., Comerford, A., Bolis, A., Rocco, G., Mengaldo, G., De Grazia, D., Yakovlev, S., Lombard, J.-E., Ekelschot, D., Jordi, B., Xu, H., Mohamied, Y., Eskilsson, C., Nelson, B., Vos, P., Biotto, C., Kirby, R.M., Sherwin, S.J.: Nektar++: an open-source spectral\/hp element framework. Comput. Phys. Commun. 192, 205\u2013219 (2015)","journal-title":"Comput. Phys. Commun."},{"key":"868_CR7","doi-asserted-by":"crossref","unstructured":"Cockburn, B., Luskin, M., Shu, C.-W., S\u00fcli, E.: Post-processing of Galerkin methods for hyperbolic problems. In: Karniadakis, G., Cockburn, B., Shu, C.-W. (eds.) Proceedings of the International Symposium on Discontinuous Galerkin Methods. Lecture Notes in Computational Science and Engineering, Newport, RI, 1999, vol. 11, pp. 291\u2013300. Springer-Verlag, Berlin (1999)","DOI":"10.1007\/978-3-642-59721-3_24"},{"issue":"242","key":"868_CR8","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1090\/S0025-5718-02-01464-3","volume":"72","author":"B Cockburn","year":"2003","unstructured":"Cockburn, B., Luskin, M., Shu, C.-W., S\u00fcli, E.: Enhanced accuracy by post-processing for finite element methods for hyperbolic equations. Math. Comput. 72(242), 577\u2013606 (2003)","journal-title":"Math. Comput."},{"issue":"3","key":"868_CR9","doi-asserted-by":"publisher","first-page":"773","DOI":"10.1007\/s10915-014-9946-6","volume":"64","author":"JK Ryan","year":"2015","unstructured":"Ryan, J.K., Li, X., Kirby, R.M., Vuik, K.: One-sided position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering over uniform and non-uniform meshes. J. Sci. Comput. 64(3), 773\u2013817 (2015)","journal-title":"J. Sci. Comput."},{"issue":"2","key":"868_CR10","doi-asserted-by":"publisher","first-page":"802","DOI":"10.1137\/100782188","volume":"33","author":"P van Slingerland","year":"2011","unstructured":"van Slingerland, P., Ryan, J.K., Vuik, C.: Position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering for improving discontinuous Galerkin solutions. SIAM J. Sci. Comput. 33(2), 802\u2013825 (2011)","journal-title":"SIAM J. Sci. Comput."},{"issue":"3","key":"868_CR11","doi-asserted-by":"publisher","first-page":"1401","DOI":"10.1137\/15M1053220","volume":"54","author":"D-M Nguyen","year":"2016","unstructured":"Nguyen, D.-M., Peters, J.: Nonuniform discontinuous Galerkin filters via shift and scale. SIAM J. Numer. Anal. 54(3), 1401\u20131422 (2016)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2\u20133","key":"868_CR12","doi-asserted-by":"publisher","first-page":"1072","DOI":"10.1007\/s10915-017-0517-5","volume":"73","author":"M Mirzargar","year":"2017","unstructured":"Mirzargar, M., Jallepalli, A., Ryan, J.K., Kirby, R.M.: Hexagonal smoothness-increasing accuracy-conserving filtering. J. Sci. Comput. 73(2\u20133), 1072\u20131093 (2017)","journal-title":"J. Sci. Comput."},{"key":"868_CR13","doi-asserted-by":"publisher","first-page":"275","DOI":"10.1016\/j.cam.2015.08.011","volume":"294","author":"X Li","year":"2016","unstructured":"Li, X., Ryan, J.K., Kirby, R.M., Vuik, C.: Smoothness-increasing accuracy-conserving (SIAC) filters for derivative approximations of discontinuous Galerkin (DG) solutions over nonuniform meshes and near boundaries. J. Comput. Appl. Math. 294, 275\u2013296 (2016)","journal-title":"J. Comput. Appl. Math."},{"issue":"5","key":"868_CR14","doi-asserted-by":"publisher","first-page":"1899","DOI":"10.1137\/110830678","volume":"49","author":"H Mirzaee","year":"2011","unstructured":"Mirzaee, H., Ji, L., Ryan, J.K., Kirby, R.M.: Smoothness-increasing accuracy-conserving (SIAC) postprocessing for discontinuous Galerkin solutions over structured triangular meshes. SIAM J. Numer. Anal. 49(5), 1899\u20131920 (2011)","journal-title":"SIAM J. Numer. Anal."},{"issue":"3","key":"868_CR15","doi-asserted-by":"publisher","first-page":"680","DOI":"10.1109\/TVCG.2008.9","volume":"14","author":"M Steffen","year":"2008","unstructured":"Steffen, M., Curtis, S., Kirby, R.M., Ryan, J.K.: Investigation of smoothness-increasing accuracy-conserving filters for improving streamline integration through discontinuous fields. IEEE Trans. Vis. Comput. Graph. 14(3), 680\u2013692 (2008)","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"issue":"2","key":"868_CR16","doi-asserted-by":"publisher","first-page":"164","DOI":"10.1007\/s10915-008-9230-8","volume":"38","author":"D Walfisch","year":"2009","unstructured":"Walfisch, D., Ryan, J.K., Kirby, R.M., Haimes, R.: One-sided smoothness-increasing accuracy-conserving filtering for enhanced streamline integration through discontinuous fields. J. Sci. Comput. 38(2), 164\u2013184 (2009)","journal-title":"J. Sci. Comput."},{"issue":"1","key":"868_CR17","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1007\/s10915-012-9593-8","volume":"53","author":"J King","year":"2012","unstructured":"King, J., Mirzaee, H., Ryan, J.K., Kirby, R.M.: Smoothness-increasing accuracy-conserving (SIAC) filtering for discontinuous Galerkin solutions: improved errors versus higher-order accuracy. J. Sci. Comput. 53(1), 129\u2013149 (2012)","journal-title":"J. Sci. Comput."},{"issue":"1","key":"868_CR18","doi-asserted-by":"publisher","first-page":"272","DOI":"10.1137\/070681284","volume":"30","author":"S Curtis","year":"2007","unstructured":"Curtis, S., Kirby, R.M., Ryan, J.K., Shu, C.-W.: Postprocessing for the discontinuous Galerkin method over nonuniform meshes. SIAM J. Sci. Comput. 30(1), 272\u2013289 (2007)","journal-title":"SIAM J. Sci. Comput."},{"key":"868_CR19","unstructured":"Li, X.: Smoothness-Increasing Accuracy-Conserving Filters for Discontinuous Galerkin Methods: Challenging the Assumptions of Symmetry and Uniformity (2015)"},{"issue":"2","key":"868_CR20","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1007\/s00211-010-0349-9","volume":"117","author":"A Demlow","year":"2011","unstructured":"Demlow, A., Stevenson, R.: Convergence and quasi-optimality of an adaptive finite element method for controlling $${L}^2$$ errors. Numer. Math. 117(2), 185\u2013218 (2011)","journal-title":"Numer. Math."},{"issue":"4","key":"868_CR21","doi-asserted-by":"publisher","first-page":"831","DOI":"10.1007\/s00211-018-0955-5","volume":"139","author":"CG Makridakis","year":"2018","unstructured":"Makridakis, C.G.: On the Babu\u0161ka\u2013Osborn approach to finite element analysis: $${L}^2$$ estimates for unstructured meshes. Numer. Math. 139(4), 831\u2013844 (2018)","journal-title":"Numer. Math."},{"issue":"11","key":"868_CR22","doi-asserted-by":"publisher","first-page":"1309","DOI":"10.1002\/nme.2579","volume":"79","author":"C Geuzaine","year":"2009","unstructured":"Geuzaine, C., Remacle, J.-F.: Gmsh: a 3-D finite element mesh generator with built-in pre-and post-processing facilities. Int. J. Numer. Methods Eng. 79(11), 1309\u20131331 (2009)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"868_CR23","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198528692.001.0001","volume-title":"Spectral\/hp Element Methods for Computational Fluid Dynamics","author":"GE Karniadakis","year":"2005","unstructured":"Karniadakis, G.E., Sherwin, S.J.: Spectral\/hp Element Methods for Computational Fluid Dynamics, 2nd edn. Oxford University Press, Oxford (2005)","edition":"2"},{"key":"868_CR24","unstructured":"Sidot, A.: Spectral\/hp Element Methods Applied to Vortex Structures in a Low Incidence Delta Wing Wake Compared to Experiments. M.S. thesis in Aeronautics, Imperial College London (2017)"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-018-0868-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-018-0868-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-018-0868-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,17]],"date-time":"2020-05-17T09:38:21Z","timestamp":1589708301000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-018-0868-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,11,16]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,4]]}},"alternative-id":["868"],"URL":"https:\/\/doi.org\/10.1007\/s10915-018-0868-6","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,11,16]]},"assertion":[{"value":"22 December 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 September 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 October 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 November 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}