{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,17]],"date-time":"2026-08-17T15:43:11Z","timestamp":1786981391452,"version":"build-2736575974"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2014,12,30]],"date-time":"2014-12-30T00:00:00Z","timestamp":1419897600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2015,10]]},"DOI":"10.1007\/s10915-014-9964-4","type":"journal-article","created":{"date-parts":[[2014,12,29]],"date-time":"2014-12-29T02:27:35Z","timestamp":1419820055000},"page":"363-386","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":189,"title":["A Weak Galerkin Finite Element Method for the Maxwell Equations"],"prefix":"10.1007","volume":"65","author":[{"given":"Lin","family":"Mu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Junping","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiu","family":"Ye","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shangyou","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2014,12,30]]},"reference":[{"key":"9964_CR1","volume-title":"Computational Electromagnetism","author":"A Bossavit","year":"1998","unstructured":"Bossavit, A.: Computational Electromagnetism. Academic Press, San Diego (1998)"},{"key":"9964_CR2","doi-asserted-by":"crossref","first-page":"1190","DOI":"10.1137\/060671760","volume":"42","author":"S Brenner","year":"2008","unstructured":"Brenner, S., Li, F., Sung, L.: A locally divergence-free interior penalty method for two-dimensional curl\u2013curl problems. SIAM J. Numer. Anal. 42, 1190\u20131211 (2008)","journal-title":"SIAM J. Numer. Anal."},{"key":"9964_CR3","doi-asserted-by":"crossref","first-page":"643","DOI":"10.1090\/S0025-5718-2011-02540-8","volume":"81","author":"S Brenner","year":"2012","unstructured":"Brenner, S., Cui, J., Nan, Z., Sung, L.: Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell\u2019s equations. Math. Comput. 81, 643\u2013659 (2012)","journal-title":"Math. Comput."},{"key":"9964_CR4","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139108157","volume-title":"Computational Methods for Electromagnetic Phenomena: Electrostatics in Solvation, Scattering, and Electron Transport","author":"W Cai","year":"2013","unstructured":"Cai, W.: Computational Methods for Electromagnetic Phenomena: Electrostatics in Solvation, Scattering, and Electron Transport. Cambridge University Press, New York (2013)"},{"key":"9964_CR5","volume-title":"Finite Element Methods for Maxwell\u2019s Equations","author":"W Cai","year":"2003","unstructured":"Cai, W.: Finite Element Methods for Maxwell\u2019s Equations. Oxford University Press, New York (2003)"},{"key":"9964_CR6","unstructured":"Houston, P., Perugia, I., Schotzau, D.: Mixed discontinuous Galerkin approximation of the Maxwell operator. Technical Report 02-16, University of Basel, Department of Mathematics, Basel, Switzerland (2002)"},{"key":"9964_CR7","doi-asserted-by":"crossref","first-page":"785","DOI":"10.1007\/978-88-470-2089-4_71","volume-title":"Numerical Mathematics and Advanced Applications: ENUMATH 2001","author":"P Houston","year":"2003","unstructured":"Houston, P., Perugia, I., Schotzau, D.: hp-DGFEM for Maxwell\u2019s equations. In: Brezzi, F., Buffa, A., Corsaro, S., Murli, A. (eds.) Numerical Mathematics and Advanced Applications: ENUMATH 2001, pp. 785\u2013794. Springer, Berlin (2003)"},{"key":"9964_CR8","doi-asserted-by":"crossref","first-page":"434","DOI":"10.1137\/S003614290241790X","volume":"42","author":"P Houston","year":"2004","unstructured":"Houston, P., Perugia, I., Schotzau, D.: Mixed discontinuous Galerkin approximation of the Maxwell operator. SIAM J. Numer. Anal. 42, 434\u2013459 (2004)","journal-title":"SIAM J. Numer. Anal."},{"key":"9964_CR9","volume-title":"The Finite Element Method in Electromagnetics","author":"J Jin","year":"2002","unstructured":"Jin, J.: The Finite Element Method in Electromagnetics, 2nd edn. Wiley, New York (2002)","edition":"2"},{"key":"9964_CR10","doi-asserted-by":"crossref","DOI":"10.1093\/acprof:oso\/9780198508885.001.0001","volume-title":"Finite Element Methods for Maxwell\u2019s Equations","author":"P Monk","year":"2003","unstructured":"Monk, P.: Finite Element Methods for Maxwell\u2019s Equations. Oxford University Press, New York (2003)"},{"key":"9964_CR11","doi-asserted-by":"crossref","unstructured":"Mu, L., Wang, J., Ye, X.: Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Numer. Methods Partial Differ. Equ. 30, 1003\u20131029 (2014)","DOI":"10.1002\/num.21855"},{"key":"9964_CR12","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1007\/BF01396415","volume":"35","author":"J Nedelec","year":"1980","unstructured":"Nedelec, J.: Mixed finite elements in R3. Numer. Math. 35, 315\u2013341 (1980)","journal-title":"Numer. Math."},{"key":"9964_CR13","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1007\/BF01389668","volume":"50","author":"J Nedelec","year":"1986","unstructured":"Nedelec, J.: A new family of mixed finite elements in R3. Numer. Math. 50, 57\u201381 (1986)","journal-title":"Numer. Math."},{"key":"9964_CR14","doi-asserted-by":"crossref","first-page":"1179","DOI":"10.1090\/S0025-5718-02-01471-0","volume":"72","author":"I Perugia","year":"2003","unstructured":"Perugia, I., Schotzau, D.: The hp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. Math. Comput. 72, 1179\u20131214 (2003)","journal-title":"Math. Comput."},{"key":"9964_CR15","doi-asserted-by":"crossref","first-page":"4675","DOI":"10.1016\/S0045-7825(02)00399-7","volume":"191","author":"I Perugia","year":"2002","unstructured":"Perugia, I., Schotzau, D., Monk, P.: Stabilized interior penalty methods for the time-harmonic Maxwell equations. Comput. Methods Appl. Mech. Eng. 191, 4675\u20134697 (2002)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"9964_CR16","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1016\/S0045-7825(98)00161-3","volume":"169","author":"L Vardapetyan","year":"1999","unstructured":"Vardapetyan, L., Demkowicz, L.: hp-adaptive nite elements in electromagnetics. Comput. Methods Appl. Mech. Eng. 169, 331\u2013344 (1999)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"9964_CR17","doi-asserted-by":"crossref","unstructured":"Wang, C., Wang, J.: An efficient numerical scheme for the Biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes. Comput. Math. Appl. 68, 2314\u20132330 (2014)","DOI":"10.1016\/j.camwa.2014.03.021"},{"key":"9964_CR18","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/j.cam.2012.10.003","volume":"241","author":"J Wang","year":"2013","unstructured":"Wang, J., Ye, X.: A weak Galerkin finite element method for second-order elliptic problems. J. Comput. Appl. Math. 241, 103\u2013115 (2013)","journal-title":"J. Comput. Appl. Math."},{"key":"9964_CR19","doi-asserted-by":"crossref","unstructured":"Wang, J., Ye, X.: A weak Galerkin mixed finite element method for second-order elliptic problems. Math. Comput. 83, 2101\u20132126 (2014)","DOI":"10.1090\/S0025-5718-2014-02852-4"},{"key":"9964_CR20","unstructured":"Wang, J., Ye, X.: A weak Galerkin finite element method for the Stokes equations. arXiv:1302.2707v1"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-014-9964-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-014-9964-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-014-9964-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,31]],"date-time":"2023-07-31T01:18:30Z","timestamp":1690766310000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-014-9964-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,12,30]]},"references-count":20,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,10]]}},"alternative-id":["9964"],"URL":"https:\/\/doi.org\/10.1007\/s10915-014-9964-4","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,12,30]]}}}