{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,30]],"date-time":"2023-10-30T12:17:47Z","timestamp":1698668267629},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2009,7,29]],"date-time":"2009-07-29T00:00:00Z","timestamp":1248825600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2010,1]]},"DOI":"10.1007\/s10915-009-9319-8","type":"journal-article","created":{"date-parts":[[2009,7,30]],"date-time":"2009-07-30T12:20:31Z","timestamp":1248956431000},"page":"122-143","source":"Crossref","is-referenced-by-count":5,"title":["The L 2-Optimality of the IIPG Method for Odd Degrees of Polynomial Approximation in 1D"],"prefix":"10.1007","volume":"42","author":[{"given":"V\u00edt","family":"Dolej\u0161\u00ed","sequence":"first","affiliation":[]},{"given":"Oto","family":"Havle","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2009,7,29]]},"reference":[{"issue":"4","key":"9319_CR1","doi-asserted-by":"crossref","first-page":"742","DOI":"10.1137\/0719052","volume":"19","author":"D.N. Arnold","year":"1982","unstructured":"Arnold, D.N.: An interior penalty finite element method with discontinuous elements. SIAM J. Numer. Anal. 19(4), 742\u2013760 (1982)","journal-title":"SIAM J. Numer. Anal."},{"issue":"5","key":"9319_CR2","doi-asserted-by":"crossref","first-page":"1749","DOI":"10.1137\/S0036142901384162","volume":"39","author":"D.N. Arnold","year":"2002","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(5), 1749\u20131779 (2002)","journal-title":"SIAM J. Numer. Anal."},{"key":"9319_CR3","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/S0898-1221(99)00117-0","volume":"37","author":"I. Babu\u0161ka","year":"1999","unstructured":"Babu\u0161ka, I., Baumann, C.E., Oden, J.T.: A discontinuous hp finite element method for diffusion problems: 1-d analysis. Comput. Math. Appl. 37, 103\u2013122 (1999)","journal-title":"Comput. Math. Appl."},{"issue":"1","key":"9319_CR4","doi-asserted-by":"crossref","first-page":"306","DOI":"10.1137\/S0036142902401311","volume":"41","author":"S.C. Brenner","year":"2003","unstructured":"Brenner, S.C.: Poincar\u00e9-Friedrichs inequalities for piecewise H-1 functions. SIAM J. Numer. Anal. 41(1), 306\u2013324 (2003)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"9319_CR5","first-page":"163","volume":"3","author":"H. Chen","year":"2006","unstructured":"Chen, H.: Superconvergence properties of discontinuous Galerkin methods for two-point boundary value problems. Int. J. Numer. Anal. Model. 3(2), 163\u2013185 (2006)","journal-title":"Int. J. Numer. Anal. Model."},{"key":"9319_CR6","volume-title":"The Finite Elements Method for Elliptic Problems","author":"P.G. Ciarlet","year":"1979","unstructured":"Ciarlet, P.G.: The Finite Elements Method for Elliptic Problems. North-Holland, Amsterdam (1979)"},{"key":"9319_CR7","doi-asserted-by":"crossref","first-page":"2565","DOI":"10.1016\/j.cma.2003.12.059","volume":"193","author":"C.N. Dawson","year":"2004","unstructured":"Dawson, C.N., Sun, S., Wheeler, M.F.: Compatible algorithms for coupled flow and transport. Comput. Methods Appl. Mech. Eng. 193, 2565\u20132580 (2004)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"25\u201326","key":"9319_CR8","first-page":"2709","volume":"26","author":"V. Dolej\u0161\u00ed","year":"2005","unstructured":"Dolej\u0161\u00ed, V., Feistauer, M.: Error estimates of the discontinuous Galerkin method for nonlinear nonstationary convection-diffusion problems. Numer. Funct. Anal. Optim. 26(25\u201326), 2709\u20132733 (2005)","journal-title":"Numer. Funct. Anal. Optim."},{"key":"9319_CR9","doi-asserted-by":"crossref","first-page":"2709","DOI":"10.1016\/j.cma.2004.07.017","volume":"194","author":"V. Dolej\u0161\u00ed","year":"2005","unstructured":"Dolej\u0161\u00ed, V., Feistauer, M., Sobot\u00edkov\u00e1, V.: A discontinuous Galerkin method for nonlinear convection\u2013diffusion problems. Comput. Methods Appl. Mech. Eng. 194, 2709\u20132733 (2005)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"9319_CR10","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1007\/s10915-008-9255-z","volume":"40","author":"J. Guzm\u00e1n","year":"2009","unstructured":"Guzm\u00e1n, J., Rivi\u00e8re, B.: Sub-optimal convergence of non-symmetric discontinuous Galerkin method for odd polynomial approximations. J. Sci. Comput. 40, 273\u2013280 (2009)","journal-title":"J. Sci. Comput."},{"issue":"1","key":"9319_CR11","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/s00211-004-0528-7","volume":"99","author":"M.G. Larson","year":"2004","unstructured":"Larson, M.G., Niklasson, A.J.: Analysis of a family of discontinuous Galerkin methods for elliptic problems: the one dimensional case. Numer. Math. 99(1), 113\u2013130 (2004)","journal-title":"Numer. Math."},{"key":"9319_CR12","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139171502","volume-title":"Approximation Theory and Methods","author":"M.J.D. Powell","year":"1981","unstructured":"Powell, M.J.D.: Approximation Theory and Methods. Cambridge University Press, Cambridge (1981)"},{"key":"9319_CR13","series-title":"Frontiers in Applied Mathematics","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898717440","volume-title":"Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation","author":"B. Rivi\u00e8re","year":"2008","unstructured":"Rivi\u00e8re, B.: Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation. Frontiers in Applied Mathematics. Society for Industrial and Applied Mathematics, Philadelphia (2008)"},{"issue":"3\u20134","key":"9319_CR14","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1023\/A:1011591328604","volume":"3","author":"B. Rivi\u00e8re","year":"1999","unstructured":"Rivi\u00e8re, B., Wheeler, M.F., Girault, V.: Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I. Comput. Geosci. 3(3\u20134), 337\u2013360 (1999)","journal-title":"Comput. Geosci."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-009-9319-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-009-9319-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-009-9319-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T08:41:32Z","timestamp":1559464892000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-009-9319-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,7,29]]},"references-count":14,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,1]]}},"alternative-id":["9319"],"URL":"https:\/\/doi.org\/10.1007\/s10915-009-9319-8","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,7,29]]}}}