{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:05:36Z","timestamp":1772294736933,"version":"3.50.1"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2011,11,6]],"date-time":"2011-11-06T00:00:00Z","timestamp":1320537600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2012,8]]},"DOI":"10.1007\/s10915-011-9549-4","type":"journal-article","created":{"date-parts":[[2011,11,5]],"date-time":"2011-11-05T02:54:40Z","timestamp":1320461680000},"page":"383-400","source":"Crossref","is-referenced-by-count":52,"title":["Local Mass Conservation of Stokes Finite Elements"],"prefix":"10.1007","volume":"52","author":[{"given":"D.","family":"Boffi","sequence":"first","affiliation":[]},{"given":"N.","family":"Cavallini","sequence":"additional","affiliation":[]},{"given":"F.","family":"Gardini","sequence":"additional","affiliation":[]},{"given":"L.","family":"Gastaldi","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,11,6]]},"reference":[{"issue":"2","key":"9549_CR1","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1007\/BF01399555","volume":"33","author":"M. Bercovier","year":"1979","unstructured":"Bercovier, M., Pironneau, O.: Error estimates for finite element method solution of the Stokes problem in the primitive variables. Numer. Math. 33(2), 211\u2013224 (1979)","journal-title":"Numer. Math."},{"issue":"2","key":"9549_CR2","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1142\/S0218202594000133","volume":"4","author":"D. Boffi","year":"1994","unstructured":"Boffi, D.: Stability of higher order triangular Hood-Taylor methods for the stationary Stokes equations. Math. Models Methods Appl. Sci. 4(2), 223\u2013235 (1994)","journal-title":"Math. Models Methods Appl. Sci."},{"issue":"2","key":"9549_CR3","doi-asserted-by":"crossref","first-page":"664","DOI":"10.1137\/S0036142994270193","volume":"34","author":"D. Boffi","year":"1997","unstructured":"Boffi, D.: Three-dimensional finite element methods for the Stokes problem. SIAM J. Numer. Anal. 34(2), 664\u2013670 (1997)","journal-title":"SIAM J. Numer. Anal."},{"key":"9549_CR4","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/978-3-540-78319-0_2","volume-title":"Mixed Finite Elements, Compatibility Conditions, and Applications","author":"D. Boffi","year":"2008","unstructured":"Boffi, D., Brezzi, F., Fortin, M.: Finite elements for the Stokes problem. In: Boffi, D., Gastaldi, L. (eds.) Mixed Finite Elements, Compatibility Conditions, and Applications. Lecture Notes in Mathematics, vol. 1939, pp. 45\u2013100. Springer, Berlin (2008)"},{"issue":"25\u201328","key":"9549_CR5","doi-asserted-by":"crossref","first-page":"2210","DOI":"10.1016\/j.cma.2007.09.015","volume":"197","author":"D. Boffi","year":"2008","unstructured":"Boffi, D., Gastaldi, L., Heltai, L., Peskin, C.S.: On the hyper-elastic formulation of the immersed boundary method. Comput. Methods Appl. Mech. Eng. 197(25\u201328), 2210\u20132231 (2008)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"9549_CR6","volume-title":"Coupled Problems 2011. Computational Methods for Coupled Problems in Science and Engineering IV","author":"D. Boffi","year":"2011","unstructured":"Boffi, D., Cavallini, N., Gardini, F., Gastaldi, L.: Immersed boundary method: performance analysis of popular finite element spaces. In: Papadrakakis, M., Onate, E., Schrefler, B. (eds.) Coupled Problems 2011. Computational Methods for Coupled Problems in Science and Engineering IV, Cimne (2011)"},{"issue":"3","key":"9549_CR7","doi-asserted-by":"crossref","first-page":"581","DOI":"10.1137\/0728032","volume":"28","author":"F. Brezzi","year":"1991","unstructured":"Brezzi, F., Falk, R.S.: Stability of higher-order Hood-Taylor methods. SIAM J. Numer. Anal. 28(3), 581\u2013590 (1991)","journal-title":"SIAM J. Numer. Anal."},{"key":"9549_CR8","series-title":"Springer Series in Computational Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-3172-1","volume-title":"Mixed and Hybrid Finite Element Methods","author":"F. Brezzi","year":"1991","unstructured":"Brezzi, F., Fortin, M.: Mixed and Hybrid Finite Element Methods. Springer Series in Computational Mathematics, vol.\u00a015. Springer, New York (1991)"},{"issue":"4\u20135","key":"9549_CR9","doi-asserted-by":"crossref","first-page":"537","DOI":"10.1016\/0045-7949(93)90340-J","volume":"47","author":"D. Chapelle","year":"1993","unstructured":"Chapelle, D., Bathe, K.-J.: The inf-sup test. Comput. Struct. 47(4\u20135), 537\u2013545 (1993)","journal-title":"Comput. Struct."},{"key":"9549_CR10","doi-asserted-by":"crossref","DOI":"10.1115\/1.3424474","volume-title":"The Finite Element Method for Elliptic Problems","author":"P.G. Ciarlet","year":"1978","unstructured":"Ciarlet, P.G.: The Finite Element Method for Elliptic Problems. North-Holland, Amsterdam (1978)"},{"key":"9549_CR11","series-title":"Handb. Numer. Anal.","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/S1570-8659(03)09003-3","volume-title":"Handbook of Numerical Analysis","author":"R. Glowinski","year":"2003","unstructured":"Glowinski, R.: Finite element methods for incompressible viscous flow. In: Handbook of Numerical Analysis. Handb. Numer. Anal., vol. IX, pp. 3\u20131176. North-Holland, Amsterdam (2003)"},{"key":"9549_CR12","first-page":"204","volume-title":"Pro. Third Int. Conf. on Finite Elements in Flow Problems","author":"P.M. Gresho","year":"1980","unstructured":"Gresho, P.M., Lee, R.L., Chan, S.T., Leone, J.M.: A new finite element for Boussinesq fluids. In: Pro. Third Int. Conf. on Finite Elements in Flow Problems, pp. 204\u2013215. Wiley, New York (1980)"},{"key":"9549_CR13","first-page":"359","volume-title":"Numerical Methods for Fluid Dynamics","author":"D.F. Griffiths","year":"1982","unstructured":"Griffiths, D.F.: The effect of pressure approximation on finite element calculations of compressible flows. In: Morton, K.W., Baines, M.J. (eds.) Numerical Methods for Fluid Dynamics, pp. 359\u2013374. Academic Press, San Diego (1982)"},{"issue":"1","key":"9549_CR14","first-page":"115","volume":"20","author":"R. Pierre","year":"1994","unstructured":"Pierre, R.: Local mass conservation and C 0-discretizations of the Stokes problem. Houst. J. Math. 20(1), 115\u2013127 (1994)","journal-title":"Houst. J. Math."},{"issue":"1\u20132","key":"9549_CR15","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1016\/j.compstruc.2005.07.002","volume":"84","author":"J. Qin","year":"2005","unstructured":"Qin, J., Zhang, S.: Stability of the finite elements 9\/(4c+1) and 9\/5c for stationary Stokes equations. Comput. Struct. 84(1\u20132), 70\u201377 (2005)","journal-title":"Comput. Struct."},{"issue":"1","key":"9549_CR16","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1051\/m2an\/1985190101111","volume":"19","author":"L.R. Scott","year":"1985","unstructured":"Scott, L.R., Vogelius, M.: Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials. Mod\u00e9l. Math. Anal. Num\u00e9r. 19(1), 111\u2013143 (1985)","journal-title":"Mod\u00e9l. Math. Anal. Num\u00e9r."},{"issue":"165","key":"9549_CR17","first-page":"9","volume":"42","author":"R. Stenberg","year":"1984","unstructured":"Stenberg, R.: Analysis of mixed finite elements methods for the Stokes problem: a unified approach. Math. Comput. 42(165), 9\u201323 (1984)","journal-title":"Math. Comput."},{"issue":"1","key":"9549_CR18","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/0045-7930(73)90027-3","volume":"1","author":"C. Taylor","year":"1973","unstructured":"Taylor, C., Hood, P.: A numerical solution of the Navier-Stokes equations using the finite element technique. Comput. Fluids 1(1), 73\u2013100 (1973)","journal-title":"Comput. Fluids"},{"issue":"3","key":"9549_CR19","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1002\/fld.1650110307","volume":"11","author":"R.W. Thatcher","year":"1990","unstructured":"Thatcher, R.W.: Locally mass-conserving Taylor-Hood elements for two- and three-dimensional flow. Int. J. Numer. Methods Fluids 11(3), 341\u2013353 (1990)","journal-title":"Int. J. Numer. Methods Fluids"},{"issue":"9","key":"9549_CR20","doi-asserted-by":"crossref","first-page":"1011","DOI":"10.1002\/fld.1650080904","volume":"8","author":"D.M. Tidd","year":"1988","unstructured":"Tidd, D.M., Thatcher, R.W., Kaye, A.: The free surface flow of Newtonian and non-Newtonian fluids trapped by surface tension. Int. J. Numer. Methods Fluids 8(9), 1011\u20131027 (1988)","journal-title":"Int. J. Numer. Methods Fluids"},{"issue":"2","key":"9549_CR21","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1051\/m2an\/1984180201751","volume":"18","author":"R. Verf\u00fcrth","year":"1984","unstructured":"Verf\u00fcrth, R.: Error estimates for a mixed finite element approximation of the Stokes equations. RAIRO. Anal. Num\u00e9r. 18(2), 175\u2013182 (1984)","journal-title":"RAIRO. Anal. Num\u00e9r."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-011-9549-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-011-9549-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-011-9549-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T04:45:38Z","timestamp":1559450738000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-011-9549-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,11,6]]},"references-count":21,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012,8]]}},"alternative-id":["9549"],"URL":"https:\/\/doi.org\/10.1007\/s10915-011-9549-4","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,11,6]]}}}