{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,5]],"date-time":"2026-04-05T22:22:01Z","timestamp":1775427721035,"version":"3.50.1"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[2010,1,28]],"date-time":"2010-01-28T00:00:00Z","timestamp":1264636800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[2010,5]]},"DOI":"10.1007\/s00607-010-0078-z","type":"journal-article","created":{"date-parts":[[2010,1,27]],"date-time":"2010-01-27T18:00:12Z","timestamp":1264615212000},"page":"113-133","source":"Crossref","is-referenced-by-count":40,"title":["Pressure projection stabilized finite element method for Navier\u2013Stokes equations with nonlinear slip boundary conditions"],"prefix":"10.1007","volume":"87","author":[{"given":"Yuan","family":"Li","sequence":"first","affiliation":[]},{"given":"Kaitai","family":"Li","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2010,1,28]]},"reference":[{"key":"78_CR1","first-page":"219","volume":"262","author":"R Temam","year":"1966","unstructured":"Temam R (1966) Sur l\u2019approximation des solutions des equations de Navier\u2013Stokes. CR Acad Sci Paris Ser A 262: 219\u2013221","journal-title":"CR Acad Sci Paris Ser A"},{"key":"78_CR2","doi-asserted-by":"crossref","first-page":"115","DOI":"10.24033\/bsmf.1662","volume":"98","author":"R Temam","year":"1968","unstructured":"Temam R (1968) Une m\u00e9thode d\u2019approximation des solutions des \u00e9quations de Navier\u2013Stokes. Bull Soc Math France 98: 115\u2013152","journal-title":"Bull Soc Math France"},{"key":"78_CR3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0025-5718-1992-1106973-X","volume":"58","author":"N Kechkar","year":"1992","unstructured":"Kechkar N, Silvester D (1992) Analysis of locally stabilized mixed finite element methods for the Stokes problem. Math Comput 58: 1\u201310","journal-title":"Math Comput"},{"issue":"4","key":"78_CR4","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1007\/s10665-004-3718-5","volume":"51","author":"Y He","year":"2005","unstructured":"He Y, Wang A, Mei L (2005) Stabilized finite-element method for the stationary Navier\u2013Stokes equations. J Eng Math 51(4): 367\u2013380","journal-title":"J Eng Math"},{"key":"78_CR5","unstructured":"Fujita H (1993) Flow problems with unilateral boundary conditions. Lecons, Coll\u00e8ge de France"},{"key":"78_CR6","first-page":"199","volume":"888","author":"H Fujita","year":"1994","unstructured":"Fujita H (1994) A mathematical analysis of motions of viscous incompressible fluid under leak or slip boundary conditions. RIMS Kokyuroku 888: 199\u2013216","journal-title":"RIMS Kokyuroku"},{"key":"78_CR7","doi-asserted-by":"crossref","first-page":"345","DOI":"10.2977\/prims\/1145475807","volume":"40","author":"N Saito","year":"2004","unstructured":"Saito N (2004) On the Stokes equations with the leak and slip boundary conditions of friction type: regularity of solutions. Pub RIMS, Kyoto University 40: 345\u2013383","journal-title":"Pub RIMS, Kyoto University"},{"key":"78_CR8","first-page":"1","volume":"19","author":"H Fujita","year":"2001","unstructured":"Fujita H (2001) Non-stationary Stokes flows under leak boundary conditions of friction type. J Comput Math 19: 1\u20138","journal-title":"J Comput Math"},{"key":"78_CR9","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/S0377-0427(02)00520-4","volume":"149","author":"H Fujita","year":"2002","unstructured":"Fujita H (2002) A coherent analysis of Stokes folws under boundary conditions of friction type. J Comput Appl Math 149: 57\u201369","journal-title":"J Comput Appl Math"},{"key":"78_CR10","first-page":"15","volume":"11","author":"H Fujita","year":"1998","unstructured":"Fujita H, Kawarada H (1998) Variational inequalities for the Stokes equation with boundary conditions of friction type. Recent developement in domain decomposition methods and flow problems. GAKUTO Int Ser Math Sci Appl 11: 15\u201333","journal-title":"GAKUTO Int Ser Math Sci Appl"},{"key":"78_CR11","first-page":"73","volume":"223","author":"N Saito","year":"2001","unstructured":"Saito N, Fujita H (2001) Regularity of solutions to the Stokes equation under a certain nonlinear boundary condition. The Navier\u2013Stokes equations. Lect Notes Pure Appl Math 223: 73\u201386","journal-title":"Lect Notes Pure Appl Math"},{"issue":"1","key":"78_CR12","first-page":"216","volume":"204","author":"Li Yuan","year":"2008","unstructured":"Yuan Li, Kaitai Li (2008) Penalty finite element method for Stokes problem with nonlinear slip boundary conditions. Appl Math Comput 204(1): 216\u2013226","journal-title":"Appl Math Comput"},{"issue":"1","key":"78_CR13","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1137\/S0036142905444482","volume":"44","author":"P Bochev","year":"2006","unstructured":"Bochev P, Dohrmann C, Gunzburger M (2006) Stabilization of low-order mixed finite element. SIAM J Numer Anal 44(1): 82\u2013101","journal-title":"SIAM J Numer Anal"},{"issue":"1","key":"78_CR14","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1016\/j.cam.2007.02.015","volume":"214","author":"J Li","year":"2008","unstructured":"Li J, He Y (2008) A stabilized finite element method based on two local Gauss integrations for the Stokes equations. J Comput Appl Math 214(1): 58\u201365","journal-title":"J Comput Appl Math"},{"issue":"1\u20134","key":"78_CR15","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1016\/j.cma.2007.06.029","volume":"197","author":"J Li","year":"2007","unstructured":"Li J, He Y, Chen Z (2007) A new stabilized finite element method for the transient Navier\u2013Stokes equations. Comptu Methods Appl Mech Eng 197(1\u20134): 22\u201335","journal-title":"Comptu Methods Appl Mech Eng"},{"issue":"1","key":"78_CR16","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1007\/s00607-009-0064-5","volume":"86","author":"J Li","year":"2009","unstructured":"Li J, He Y, Chen Z (2009) Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs. Computing 86(1): 37\u201351","journal-title":"Computing"},{"key":"78_CR17","unstructured":"Li Y, Li K (2010) Uzawa iteration method for stokes type variational inequality of the second kind. Acta Math Appl Sin. doi: 10.1007\/s10255-009-8119-0"},{"key":"78_CR18","unstructured":"Evans LC (1998) Partial differential equations. American Mathematical Society, Providence"}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-010-0078-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00607-010-0078-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-010-0078-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T10:30:22Z","timestamp":1559125822000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00607-010-0078-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1,28]]},"references-count":18,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2010,5]]}},"alternative-id":["78"],"URL":"https:\/\/doi.org\/10.1007\/s00607-010-0078-z","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,1,28]]}}}