{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T15:54:41Z","timestamp":1776873281274,"version":"3.51.2"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,4,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This paper presents two novel contributions on the recently introduced Mixed High-Order (MHO) methods [`Arbitrary order mixed methods for heterogeneous\nanisotropic diffusion on general meshes', preprint (2013)].\nWe first address the hybridization of the MHO method for a scalar diffusion problem and obtain the corresponding primal formulation.\nBased on the hybridized MHO method, we then design a novel, arbitrary order method for the Stokes problem on general meshes.\nA full convergence analysis is carried out showing that, when independent polynomials of degree <jats:italic>k<\/jats:italic> are used as unknowns (at elements for the pressure and at faces for each velocity component), the energy-norm of the velocity and the <jats:italic>L<\/jats:italic>\n                  <jats:sup>2<\/jats:sup>-norm of the pressure converge with order (<jats:italic>k<\/jats:italic> + 1), while the <jats:italic>L<\/jats:italic>\n                  <jats:sup>2<\/jats:sup>-norm of the velocity (super-)converges with order (<jats:italic>k<\/jats:italic> + 2).\nThe latter property is not shared by other methods based on a similar choice of unknowns.\nThe theoretical results are numerically validated in two space dimensions on both standard and polygonal meshes.<\/jats:p>","DOI":"10.1515\/cmam-2015-0004","type":"journal-article","created":{"date-parts":[[2015,3,3]],"date-time":"2015-03-03T17:01:11Z","timestamp":1425402071000},"page":"111-134","source":"Crossref","is-referenced-by-count":33,"title":["Hybridization of Mixed High-Order Methods on General Meshes and Application to the Stokes Equations"],"prefix":"10.1515","volume":"15","author":[{"given":"Joubine","family":"Aghili","sequence":"first","affiliation":[{"name":"Universit\u00e9 de Montpellier, I3M, 34057 Montpellier CEDEX 5, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S\u00e9bastien","family":"Boyaval","sequence":"additional","affiliation":[{"name":"Laboratoire d'hydraulique Saint-Venant (Ecole des Ponts ParisTech \u2013 EDF R&D \u2013 CEREMA), Universit\u00e9 Paris Est and INRIA Rocquencourt (MATHERIALS), France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Daniele A.","family":"Di Pietro","sequence":"additional","affiliation":[{"name":"Universit\u00e9 de Montpellier, I3M, 34057 Montpellier CEDEX 5, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2015,3,3]]},"container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/15\/2\/article-p111.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2015-0004\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2015-0004\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T22:40:00Z","timestamp":1680302400000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2015-0004\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3,3]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2015,3,10]]},"published-print":{"date-parts":[[2015,4,1]]}},"alternative-id":["10.1515\/cmam-2015-0004"],"URL":"https:\/\/doi.org\/10.1515\/cmam-2015-0004","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"value":"1609-4840","type":"print"},{"value":"1609-9389","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,3,3]]}}}