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The theoretical results are supported by numerical evidence.<\/jats:p>","DOI":"10.1137\/060676106","type":"journal-article","created":{"date-parts":[[2008,2,8]],"date-time":"2008-02-08T18:10:00Z","timestamp":1202494200000},"page":"805-831","source":"Crossref","is-referenced-by-count":71,"title":["Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection"],"prefix":"10.1137","volume":"46","author":[{"given":"Daniele A.","family":"Di Pietro","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alexandre","family":"Ern","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jean-Luc","family":"Guermond","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2008,2,8]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/0719052"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/1985190100071"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142901384162"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1977-0431742-5"},{"key":"R5","unstructured":"F. Bassi, S. Rebay, G. Mariotti, S. Pedinotti, and M. Savini,\n                      A high-order accurate discontinuous finite element method for inviscid and viscous turbomachinery flows\n                      , in Proceedings of the 2nd European Conference on Turbomachinery Fluid Dynamics and Thermodynamics, R. Decuypere and G. Dibelius, eds., 1997, pp. 99\u2013109."},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1137\/050634736"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142997316712"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1515\/1569395054012776"},{"key":"R9","doi-asserted-by":"crossref","unstructured":"A. Ern and J.L. Guermond,\n                      Theory and Practice of Finite Elements\n                      , Appl. Math. 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Stenberg,\n                      On weakly imposed boundary conditions for second order problems\n                      , in Proceedings of the International Conference on Finite Elements in Fluids\u2014New Trends and Applications, Venice, Italy, 1995, M. Morandi Cecchi et al., eds., pp. 327\u2013336."},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160110306"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1016\/0168-9274(89)90052-4"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/23.2.331"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1007\/s00607-002-1446-0"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1007\/s00607-005-0123-5"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142900374111"},{"key":"R23","doi-asserted-by":"crossref","unstructured":"P. Lesaint,\n                      Finite element methods for symmetric hyperbolic equations\n                      , Numer. 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Hill,\n                      Triangular Mesh Methods for the Neutron Transport Equation\n                      , Technical Report LA-UR-73-479, Los Alamos Scientific Laboratory, Los Alamos, NM, 1973."},{"key":"R26","doi-asserted-by":"publisher","DOI":"10.1137\/0715010"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/060676106","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T15:12:01Z","timestamp":1787325121000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/060676106"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,1]]},"references-count":26,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2008,1]]}},"alternative-id":["10.1137\/060676106"],"URL":"https:\/\/doi.org\/10.1137\/060676106","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,1]]}}}