{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,3]],"date-time":"2025-11-03T13:07:48Z","timestamp":1762175268422},"reference-count":27,"publisher":"Elsevier BV","issue":"2-3","license":[{"start":{"date-parts":[[1999,6,1]],"date-time":"1999-06-01T00:00:00Z","timestamp":928195200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[1999,6]]},"DOI":"10.1016\/s0096-3003(98)00041-1","type":"journal-article","created":{"date-parts":[[2003,4,4]],"date-time":"2003-04-04T17:33:30Z","timestamp":1049477610000},"page":"209-244","source":"Crossref","is-referenced-by-count":1,"title":["Chebyshev pseudospectral-finite element method for the three-dimensional unsteady Navier\u2013Stokes equation"],"prefix":"10.1016","volume":"101","author":[{"given":"Jing-yu","family":"Hou","sequence":"first","affiliation":[]},{"given":"Ben-yu","family":"Guo","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0096-3003(98)00041-1_BIB1","unstructured":"P.J. Roach, Computational Fluid Dynamics, 2nd edition, Hermosa Publishers, Albuguerque, 1976"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB2","unstructured":"Guo Ben-yu, Difference Methods for Partial Differential Equations, Science Press, Beijing, 1988"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB3","unstructured":"J.T. Oden, O.C. Zienkiewicz, R.H. Gallagher, C. Taylor, Finite Element Methods in Flow Problems, Wiley, New York, 1974"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB4","unstructured":"R. Temann, Navier\u2013Stokes Equations, North-Holland, Amsterdam, 1977"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB5","unstructured":"P.A. Raviart, Approximation numerique des ph\u00e9nom\u00e8nes de diffusion convection, in: M\u00e9thods d'\u00e9l\u00e9ments Finis en M\u00e9chanics des Fluids, Cours a L'\u00e9cole d'\u00e9t\u00e9 d'analyses numerique, 1979"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB6","doi-asserted-by":"crossref","unstructured":"V. Girault, P.A. Raviart, Finite element approximation of the Navier\u2013Stokes equations, Lecture Notes in Mathematics, vol. 794, Springer, Berlin, 1979","DOI":"10.1007\/BFb0063447"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB7","doi-asserted-by":"crossref","unstructured":"C. Canuto, M.Y. Hussaini, A. Quarteroni, T. Zang, Spectral Method in Fluid Dynamics, Springer, Berlin, 1988","DOI":"10.1007\/978-3-642-84108-8"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB8","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1017\/S0022112082001116","article-title":"Numerical investigation of turbulent channel flow","volume":"118","author":"Moin","year":"1992","journal-title":"J. Fluid Mech."},{"key":"10.1016\/S0096-3003(98)00041-1_BIB9","first-page":"697","article-title":"Spectral-difference method for Baroclinic primitive equation and its error estimation","volume":"30A","author":"Ben-yu","year":"1987","journal-title":"Scientia Sinica"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB10","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0021-9991(89)90233-7","article-title":"A spectral difference method for two-dimensional viscous flow","volume":"84","author":"Ben-yu","year":"1989","journal-title":"J. Comp. Phys."},{"key":"10.1016\/S0096-3003(98)00041-1_BIB11","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1007\/BF01410105","article-title":"Combined finite element and spectral approximation of the Navier\u2013Stokes equations","volume":"44","author":"Canuto","year":"1984","journal-title":"Numer. Math."},{"key":"10.1016\/S0096-3003(98)00041-1_BIB12","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1137\/0728005","article-title":"A pseudospectral-finite element method for solving two-dimensional vorticity equations","volume":"28","author":"Ben-yu","year":"1991","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/S0096-3003(98)00041-1_BIB13","first-page":"75","article-title":"Combined finite element and pseudospectral method for three-dimensional vorticity equations","volume":"3","author":"He-ping","year":"1990","journal-title":"J. Hydrodynamics, Ser. B"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB14","doi-asserted-by":"crossref","first-page":"1066","DOI":"10.1137\/0730055","article-title":"Combined finite element and pseudospectral method for the two-dimensional evalutionary Navier-Stokes equations","volume":"30","author":"Ben-yu","year":"1993","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/S0096-3003(98)00041-1_BIB15","first-page":"350","article-title":"Combined finite element and pseudospectral method for the three-dimensional Navier\u2013Stokes equations","volume":"13","author":"He-ping","year":"1992","journal-title":"Chinese Ann. Math. Ser. B"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB16","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1016\/0021-9991(92)90053-2","article-title":"The Fourier\u2013Chebyshev spectral method for solving two-dimensional unsteady vorticity equations","volume":"101","author":"Ben-yu","year":"1992","journal-title":"J. Comput. Phys."},{"key":"10.1016\/S0096-3003(98)00041-1_BIB17","unstructured":"Guo Ben-yu, Li Jian, Fourier\u2013Chebyshev spectral method for the three-dimensional Navier-Stokes equations Jpn. J. Appl. Math. 14 (1997) 329\u2013356"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB18","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1051\/m2an\/1995290303031","article-title":"Fourier\u2013Chebyshev pseudospectral method for the two-dimensional Navier-Stokes equations","volume":"29","author":"Ben-yu","year":"1995","journal-title":"RARIO Math. Model. and Numer. Anal."},{"key":"10.1016\/S0096-3003(98)00041-1_BIB19","unstructured":"Guo Ben-yu, He Song-nian, Chebyshev spectral-finite element method for three-dimensional vorticity equation (to appear in Acta Mathematical Applicatae Sinica)"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB20","doi-asserted-by":"crossref","unstructured":"Guo Ben-yu, Ma He-ping, Hou Jing-yu, Chebyshev pseudospectral-hybrid finite element method for two-dimensional vorticity equations, RARIO Math. Model. Numer. Anal. 30 (1996) 873\u2013905","DOI":"10.1051\/m2an\/1996300708731"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB21","first-page":"161","article-title":"Chebyshev pseudospectral-hybrid finite element method for three-dimensional vorticity equation","volume":"5","author":"Ben-yu","year":"1996","journal-title":"Numerical Mathematics, English series"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB22","doi-asserted-by":"crossref","first-page":"1111","DOI":"10.1002\/fld.1650071008","article-title":"On pressure boundary conditions for the incompressible Navier\u2013Stokes equations","volume":"7","author":"Gresho","year":"1987","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB23","doi-asserted-by":"crossref","unstructured":"P.G. Ciarlet, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1978","DOI":"10.1115\/1.3424474"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB24","unstructured":"C. Canuto, A. Quarteroni, Variational method in the theoretical analysis of spectral approximations, in: R.G. Voigt, D. Gottlieb, M.Y. Hussaini (Eds.), Spectral Method for Partial Differential Equations, SIAM-CBMS, Philadelphia, PA, 1984, pp. 55\u201378"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB25","unstructured":"R. Courant, D. Hilbert, Methods of Mathematical Physics, vol.I, Interscience, New York, 1953"},{"key":"10.1016\/S0096-3003(98)00041-1_BIB26","first-page":"48","article-title":"The Chebyshev spectral method for Burgers-like equations","volume":"6","author":"He-ping","year":"1988","journal-title":"J. Comput. Math."},{"key":"10.1016\/S0096-3003(98)00041-1_BIB27","unstructured":"Guo Ben-yu, Generalized stability of discretization and its applications to numerical solutions of nonlinear partial differential equations, BMN M\u03a6 32 (1992) 530\u2013541"}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300398000411?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300398000411?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,2,5]],"date-time":"2020-02-05T15:16:32Z","timestamp":1580915792000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300398000411"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,6]]},"references-count":27,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[1999,6]]}},"alternative-id":["S0096300398000411"],"URL":"https:\/\/doi.org\/10.1016\/s0096-3003(98)00041-1","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[1999,6]]}}}