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The convergence of the method is proven in the two-dimensional case, together with optimal error estimates.<\/jats:p>","DOI":"10.1137\/s0036142901385829","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"2368-2394","source":"Crossref","is-referenced-by-count":24,"title":["A Model for Two Coupled Turbulent Fluids Part II: Numerical Analysis of a Spectral Discretization"],"prefix":"10.1137","volume":"40","author":[{"given":"C.","family":"Bernardi","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"T. Chacon","family":"Rebollo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"R.","family":"Lewandowski","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"F.","family":"Murat","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,26]]},"reference":[{"key":"R1","first-page":"541","volume":"320","author":"Achdou Y.","year":"1995","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. I","ISSN":"https:\/\/id.crossref.org\/issn\/0764-4442","issn-type":"print"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1016\/S0764-4442(99)80312-7"},{"key":"R3","doi-asserted-by":"crossref","unstructured":"C. Bernardi, T. Chac\u00f3n Rebollo, R. Lewandowski, and F. Murat,\n                      A model for two coupled turbulent fluids. Part I: Analysis of the system\n                      , in Nonlinear Partial Differential Equations and Their Applications, Coll\u00e8ge de France Seminar, Vol. XIV, D. Cioranescu and J.\u2010L. Lions, eds., Elsevier, Amsterdam, 2002, pp. 69\u2013102.","DOI":"10.1016\/S0168-2024(02)80006-6"},{"key":"R4","first-page":"333","volume":"315","author":"Bernardi C.","year":"1992","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. I","ISSN":"https:\/\/id.crossref.org\/issn\/0764-4442","issn-type":"print"},{"key":"R5","unstructured":"C. Bernardi, M. Dauge, and Y. Maday,\n                      Interpolation of nullspaces for polynomial approximation of divergence\u2010free functions in a cube\n                      , in Boundary Value Problems and Integral Equations in Nonsmooth Domains, Lecture Notes in Pure and Appl. Math. 167, M. Costabel, M. Dauge, and S. 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