{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:15:16Z","timestamp":1772295316398,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":13,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540319948","type":"print"},{"value":"9783540319955","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/11666806_8","type":"book-chapter","created":{"date-parts":[[2006,2,15]],"date-time":"2006-02-15T03:09:49Z","timestamp":1139972989000},"page":"84-93","source":"Crossref","is-referenced-by-count":8,"title":["A Multiscale Discontinuous Galerkin Method"],"prefix":"10.1007","author":[{"given":"Pavel","family":"Bochev","sequence":"first","affiliation":[]},{"given":"Thomas J. R.","family":"Hughes","sequence":"additional","affiliation":[]},{"given":"Guglielmo","family":"Scovazzi","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"5","key":"8_CR1","doi-asserted-by":"publisher","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 Journal on Numerical Analysis\u00a039(5), 1749\u20131779 (2002)","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"8_CR2","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1016\/S0045-7825(98)00359-4","volume":"175","author":"C.E. Baumann","year":"1999","unstructured":"Baumann, C.E., Oden, J.T.: A discontinuous hp finite element method for convection-diffusion problems. Comp. Meth. Appl. Mech. Engrg.\u00a0175, 311\u2013341 (1999)","journal-title":"Comp. Meth. Appl. Mech. Engrg."},{"issue":"4","key":"8_CR3","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1002\/1098-2426(200007)16:4<365::AID-NUM2>3.0.CO;2-Y","volume":"16","author":"F. Brezzi","year":"2000","unstructured":"Brezzi, F., Manzini, G., Marini, D., Pietra, P., Russo, A.: Discontinuous Galerkin approximations for elliptic problems. Numerical methods in PDEs\u00a016(4), 365\u2013378 (2000)","journal-title":"Numerical methods in PDEs"},{"key":"8_CR4","volume-title":"Theory and applications in solid and fluid mechanics","author":"C. Schwab","year":"1998","unstructured":"Schwab, C.: p\u2212 and hp\u2212 finite element methods. In: Theory and applications in solid and fluid mechanics. Clarendon Press, Oxford (1998)"},{"key":"8_CR5","volume-title":"Classics in applied mathematics","author":"P. Ciarlet","year":"2002","unstructured":"Ciarlet, P.: The finite element method for elliptic problems. In: Classics in applied mathematics. SIAM, Philadelphia (2002)"},{"key":"8_CR6","series-title":"Lecture Notes in Computational Science and Engineering","volume-title":"Discontinuous Galerkin Methods: Theory, Computation and Applications","year":"2000","unstructured":"Cockburn, B., Karniadakis, G.E., Shu, C.-W. (eds.): Discontinuous Galerkin Methods: Theory, Computation and Applications. Lecture Notes in Computational Science and Engineering, vol.\u00a011. Springer, Heidelberg (2000)"},{"issue":"6","key":"8_CR7","doi-asserted-by":"publisher","first-page":"2151","DOI":"10.1137\/S0036142901397599","volume":"40","author":"C. Dawson","year":"2003","unstructured":"Dawson, C.: The P\n                              k\u2009+\u20091-S\n                    k\n                   local discontinuous Galerkin method for elliptic equations. SIAM J. Num. Anal.\u00a040(6), 2151\u20132170 (2003)","journal-title":"SIAM J. Num. Anal."},{"key":"8_CR8","doi-asserted-by":"crossref","unstructured":"Hughes, T.J.R., Scovazzi, G., Bochev, P., Buffa, A.: A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method. Comp. Meth. Appl. Mech. Engrg. (submitted)","DOI":"10.1016\/j.cma.2005.06.006"},{"key":"8_CR9","series-title":"Lecture Notes in Computational Science and Engineering","volume-title":"Discontinuous Galerkin Methods: Theory, Computation and Applications","author":"T.J.R. Hughes","year":"2000","unstructured":"Hughes, T.J.R., Engel, G., Mazzei, L., Larson, M.G.: A comparison of discontinuous and continuous Galerkin methods based on error estimates, conservation, robustness and efficiency. In: Cockburn, B., Karniadakis, G.E., Shu, C.-W. (eds.) Discontinuous Galerkin Methods: Theory, Computation and Applications. Lecture Notes in Computational Science and Engineering, vol.\u00a011. Springer, Heidelberg (2000)"},{"key":"8_CR10","doi-asserted-by":"crossref","unstructured":"Hughes, T.J.R., Masud, A., Wan, J.: A stabilized mixed discontinuous Galerkin method for Darcy flow. Comp. Meth. Appl. Mech. Enrgr. (to appear)","DOI":"10.1016\/j.cma.2005.06.018"},{"key":"8_CR11","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1016\/0045-7825(84)90158-0","volume":"45","author":"C. Johnson","year":"1984","unstructured":"Johnson, C., N\u00e4vert, U., Pitkr\u00e4nta, J.: Finite element methods for linear hyperbolic problems. Comp. Meth. Appl. Mech. Engrg.\u00a045, 285\u2013312 (1984)","journal-title":"Comp. Meth. Appl. Mech. Engrg."},{"issue":"173","key":"8_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1090\/S0025-5718-1986-0815828-4","volume":"46","author":"C. Johnson","year":"1986","unstructured":"Johnson, C., Pitk\u00e4ranta, J.: An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation. Mathematics of Computation\u00a046(173), 1\u201326 (1986)","journal-title":"Mathematics of Computation"},{"key":"8_CR13","volume-title":"Triangular mesh methods for the neutron transport equation, LA-UR-73-479","author":"W.H. Reed","year":"1973","unstructured":"Reed, W.H., Hill, T.R.: Triangular mesh methods for the neutron transport equation, LA-UR-73-479. Scientific Laboratory, Los Alamos (1973)"}],"container-title":["Lecture Notes in Computer Science","Large-Scale Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11666806_8.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T07:13:36Z","timestamp":1619507616000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11666806_8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540319948","9783540319955"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/11666806_8","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006]]}}}