{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,14]],"date-time":"2026-02-14T04:43:03Z","timestamp":1771044183222,"version":"3.50.1"},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2002,5,1]],"date-time":"2002-05-01T00:00:00Z","timestamp":1020211200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2002,5,1]],"date-time":"2002-05-01T00:00:00Z","timestamp":1020211200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["The Journal of Supercomputing"],"published-print":{"date-parts":[[2002,5]]},"DOI":"10.1023\/a:1014302419725","type":"journal-article","created":{"date-parts":[[2002,12,28]],"date-time":"2002-12-28T15:15:16Z","timestamp":1041088516000},"page":"29-43","source":"Crossref","is-referenced-by-count":4,"title":["Numerical Simulation of Oldroyd-B Fluid in a Contraction Channel"],"prefix":"10.1007","volume":"22","author":[{"given":"Sha","family":"Meng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xin Kai","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gwynne","family":"Evans","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"397935_CR1","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1016\/0377-0257(95)01406-3","volume":"62","author":"J. Azaiez","year":"1996","unstructured":"J. Azaiez, R. Guenette, and A. Ait-Kadi. Numerical simulation of viscoelastic flows through a planar contraction. Journal of Non-Newtonian Fluid Mechanics, 62:253\u2013277, 1996.","journal-title":"Journal of Non-Newtonian Fluid Mechanics"},{"key":"397935_CR2","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1146\/annurev.fl.19.010187.001105","volume":"19","author":"D. V. Boger","year":"1987","unstructured":"D. V. Boger. Viscoelastic flows through contractions. Annual Review of Fluid Mechanics, 19:157\u2013182, 1987.","journal-title":"Annual Review of Fluid Mechanics"},{"issue":"R2","key":"397935_CR3","first-page":"129","volume":"8","author":"F. Brezzi","year":"1974","unstructured":"F. Brezzi. On the existence: uniqueness and approximation of saddle-point problems arising from Lagrange multipliers. RAIRO-Analyse Numerique, 8(R2):129\u2013141, 1974.","journal-title":"RAIRO-Analyse Numerique"},{"key":"397935_CR4","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1122\/1.550521","volume":"38","author":"F. Debae","year":"1994","unstructured":"F. Debae, V. Legat, and M. J. Crochet. Practical evaluation of four mixed finite element methods for viscoelastic flows. Journal of Rheology, 38:421\u2013442, 1994.","journal-title":"Journal of Rheology"},{"key":"397935_CR5","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1016\/0377-0257(89)85012-8","volume":"32","author":"M. Fortin","year":"1989","unstructured":"M. Fortin and A. Fortin. A new approach for the FEM simulation of viscoelastic flows. Journal of Non-Newtonian Fluid Mechanics, 32:295\u2013310, 1989.","journal-title":"Journal of Non-Newtonian Fluid Mechanics"},{"key":"397935_CR6","doi-asserted-by":"crossref","first-page":"1401","DOI":"10.1002\/(SICI)1097-0207(19981230)43:8<1401::AID-NME475>3.0.CO;2-#","volume":"43","author":"M. I. Gerritsma","year":"1998","unstructured":"M. I. Gerritsma and T. N. Phillips. Discontinuous spectral element approximation for the velocity-pressure-stress formulation of the Stokes problem. International Journal of Numerical Methods in Engineering, 43:1401\u20131419, 1998.","journal-title":"International Journal of Numerical Methods in Engineering"},{"key":"397935_CR7","doi-asserted-by":"crossref","first-page":"1530","DOI":"10.1137\/S1064827597324846","volume":"20","author":"M. I. Gerritsma","year":"1999","unstructured":"M. I. Gerritsma and T. N. Phillips. Compatible spectral approximations for the velocity-pressure-stress formulation of the Stokes problem. SIAM Journal of Scientific Computing, 20:1530\u20131550, 1999.","journal-title":"SIAM Journal of Scientific Computing"},{"key":"397935_CR8","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1016\/0377-0257(95)01372-3","volume":"60","author":"R. Gu\u00e9nette","year":"1995","unstructured":"R. Gu\u00e9nette and M. Fortin. A new mixed finite element method for computing viscoelastic flows. Journal of Non-Newtonian Fluid Mechanics, 60:27\u201352, 1995.","journal-title":"Journal of Non-Newtonian Fluid Mechanics"},{"key":"397935_CR9","doi-asserted-by":"crossref","first-page":"1261","DOI":"10.1002\/fld.1650071108","volume":"7","author":"T. J. R. Hughes","year":"1987","unstructured":"T. J. R. Hughes. Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier-Stokes equations. International Journal of Numerical Methods for Fluids, 7:1261\u20131275, 1987.","journal-title":"International Journal of Numerical Methods for Fluids"},{"key":"397935_CR10","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1016\/0377-0257(88)85054-7","volume":"29","author":"R. C. King","year":"1988","unstructured":"R. C. King, M. R. Apelian, R. C. Armstrong, and R. A. Brown. Numerical stable finite element techniques for viscoelastic calculations in smooth and singular geometries. Journal of Non-Newtonian Fluid Mechanics, 29:147\u2013216, 1988.","journal-title":"Journal of Non-Newtonian Fluid Mechanics"},{"key":"397935_CR11","unstructured":"Y. Maday and A. T. Patera. Spectral element methods for the incompressible Navier-Stokes equations. In State of the Art Surveys in Computational Mechanics, pp. 71\u2013143, 1989."},{"key":"397935_CR12","unstructured":"Y. Maday, A. T. Patera, and E. M. R\u00f8nquist. The PN\u2013PN-2 method for the approximation of the Stokes problem. Numerische Mathematik, 1987."},{"key":"397935_CR13","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/0377-0257(86)80021-0","volume":"20","author":"J. M. Marchal","year":"1986","unstructured":"J. M. Marchal and M. J. Crochet. Hermitian finite elements for calculating viscoelastic flow. Journal of Non-Newtonian Fluid Mechanics, 20:187\u2013207, 1986.","journal-title":"Journal of Non-Newtonian Fluid Mechanics"},{"key":"397935_CR14","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/0377-0257(87)85048-6","volume":"26","author":"J. M. Marchal","year":"1987","unstructured":"J. M. Marchal and M. J. Crochet. A new mixed finite element for calculation viscoelastic flow. Journal of Non-Newtonian Fluid Mechanics, 26:77\u2013115, 1987.","journal-title":"Journal of Non-Newtonian Fluid Mechanics"},{"key":"397935_CR15","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/S0377-0257(97)00085-2","volume":"75","author":"H. Matallah","year":"1998","unstructured":"H. Matallah, P. Townsend, and M. F. Webster. Recovery and stress-splitting schemes for viscoelastic flows. Journal of Non-Newtonian Fluid Mechanics, 75:139\u2013166, 1998.","journal-title":"Journal of Non-Newtonian Fluid Mechanics"},{"key":"397935_CR16","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/0377-0257(90)85008-M","volume":"36","author":"D. Ralagopalan","year":"1990","unstructured":"D. Ralagopalan, R. C. Armstrong, and R. A. Brown. Finite element methods for calculation of steady, viscoelastic flow using constitutive equations with a Newtonian viscosity. Journal of Non-Newtonian Fluid Mechanics, 36:159\u2013192, 1990.","journal-title":"Journal of Non-Newtonian Fluid Mechanics"},{"key":"397935_CR17","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1016\/0377-0257(94)85019-4","volume":"51","author":"T. Sato","year":"1994","unstructured":"T. Sato and S. M. Richardson. Explicit numerical simulation of time-dependent viscoelastic flow problem by a finite element\/finite volume method. Journal of Non-Newtonian Fluid Mechanics, 51:249\u2013275, 1994.","journal-title":"Journal of Non-Newtonian Fluid Mechanics"},{"key":"397935_CR18","volume-title":"A semi-Lagrangian finite volume method for incompressible fluid flow","author":"A. J. Williams","year":"1998","unstructured":"A. J. Williams. A semi-Lagrangian finite volume method for incompressible fluid flow. Ph.D. thesis, The University of Wales, Aberystwyth, 1998."},{"key":"397935_CR19","first-page":"86","volume":"39","author":"J. Y. Yoo","year":"1991","unstructured":"J. Y. Yoo and Y. Na. A numerical study of the planar contraction flow of a viscoelastic fluid using the SIMPLER algorithm. Journal of Non-Newtonian Fluid Mechanics, 39:86\u2013106, 1991.","journal-title":"Journal of Non-Newtonian Fluid Mechanics"}],"container-title":["The Journal of Supercomputing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1014302419725.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1014302419725\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1014302419725.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,8]],"date-time":"2025-08-08T05:22:56Z","timestamp":1754630576000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1014302419725"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,5]]},"references-count":19,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2002,5]]}},"alternative-id":["397935"],"URL":"https:\/\/doi.org\/10.1023\/a:1014302419725","relation":{},"ISSN":["0920-8542","1573-0484"],"issn-type":[{"value":"0920-8542","type":"print"},{"value":"1573-0484","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,5]]}}}