{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,17]],"date-time":"2025-05-17T04:16:12Z","timestamp":1747455372147,"version":"3.40.5"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2000,7,1]],"date-time":"2000-07-01T00:00:00Z","timestamp":962409600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2000,7,1]],"date-time":"2000-07-01T00:00:00Z","timestamp":962409600000},"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":["Advances in Computational Mathematics"],"published-print":{"date-parts":[[2000,7]]},"DOI":"10.1023\/a:1018958328042","type":"journal-article","created":{"date-parts":[[2003,2,19]],"date-time":"2003-02-19T22:07:13Z","timestamp":1045692433000},"page":"271-292","source":"Crossref","is-referenced-by-count":2,"title":["On the convexity of C\n              1 surfaces associated with some quadrilateral finite elements"],"prefix":"10.1007","volume":"13","author":[{"given":"J.","family":"Lorente\u2010Pardo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P.","family":"Sablonni\u00e8re","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.C.","family":"Serrano\u2010P\u00e9rez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"325393_CR1","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1137\/0722024","volume":"22","author":"R.K. Beatson","year":"1985","unstructured":"R.K. Beatson and Z. Ziegler, Monotonicity preserving surface interpolation, SIAM J. Numer. Anal. 22 (1985) 401\u2013411.","journal-title":"SIAM J. Numer. Anal."},{"key":"325393_CR2","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1016\/0021-9045(84)90132-1","volume":"40","author":"G.Z. Chang","year":"1984","unstructured":"G.Z. Chang and P.J. Davis, The convexity of Bernstein polynomials over triangles, J. Approx. Theory 40 (1984) 11\u201328.","journal-title":"J. Approx. Theory"},{"key":"325393_CR3","first-page":"286","volume-title":"Handbook of Numerical Analysis, Vol.","author":"P.G. Ciarlet","year":"1991","unstructured":"P.G. Ciarlet, Basic error estimates for elliptic problems, in: Handbook of Numerical Analysis, Vol. II (North-Holland, Amsterdam, 1991) pp. 286\u2013288."},{"key":"325393_CR4","first-page":"29","volume":"2","author":"J.F. Ciavaldini","year":"1974","unstructured":"J.F. Ciavaldini and J.C. N\u00e9d\u00e9lec, Sur l'\u00e9l\u00e9ment de Fraeijs de Veubeke et Sander, Rev. Fran\u00e7aise Automat. Informat. Rech. Op\u00e9rationnelle, S\u00e9r. Rouge Anal. Num\u00e9r. R-2 (1974) 29\u201345.","journal-title":"S\u00e9r. Rouge Anal. Num\u00e9r. R-"},{"key":"325393_CR5","first-page":"265","volume":"23","author":"W. Dahmen","year":"1988","unstructured":"W. Dahmen and C.A. Micchelli, Convexity of multivariate Bernstein polynomials and box spline surfaces, Studia Sci. Math. Hungar. 23 (1988) 265\u2013287.","journal-title":"Studia Sci. Math. Hungar."},{"key":"325393_CR6","unstructured":"G. Fraeijs de Veubeke, Bending and stretching of plates, in: Conference on Matrix Methods in Structural Mechanics, Wright Patterson AFB, OH (1965)."},{"key":"325393_CR7","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1016\/0167-8396(89)90022-8","volume":"6","author":"T.A. Grandine","year":"1989","unstructured":"T.A. Grandine, On convexity of piecewise polynomial functions on triangulations, Comput. Aided Geom. Design 6 (1989) 181\u2013187.","journal-title":"Comput. Aided Geom. Design"},{"key":"325393_CR8","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1016\/S0167-8396(98)00042-9","volume":"16","author":"A. Li","year":"1999","unstructured":"A. Li, Convexity preserving interpolation, Comput. Aided Geom. Design 16 (1999) 127\u2013147.","journal-title":"Comput. Aided Geom. Design"},{"key":"325393_CR9","first-page":"395","volume-title":"Advances in Computational Mathematics","author":"J. Lorente-Pardo","year":"1998","unstructured":"J. Lorente-Pardo, P. Sablonni\u00e8re and M.C. Serrano-P\u00e9rez, On the convexity of Powell-Sabin finite elements, in: Advances in Computational Mathematics, eds. Z. Chen, Y. Li, C.A. Micchelli and Y. Xu (Marcel Dekker, New York, 1998) pp. 395\u2013404."},{"key":"325393_CR10","doi-asserted-by":"publisher","first-page":"287","DOI":"10.1016\/S0167-8396(98)00050-8","volume":"16","author":"J. Lorente-Pardo","year":"1999","unstructured":"J. Lorente-Pardo, P. Sablonni\u00e8re and M.C. Serrano-P\u00e9rez, Subharmonicity and convexity properties of Bernstein polynomials and B\u00e9zier nets on triangles, Comput. Aided Geom. Design 16 (1999) 287\u2013300.","journal-title":"Comput. Aided Geom. Design"},{"key":"325393_CR11","doi-asserted-by":"publisher","first-page":"383","DOI":"10.1016\/S0377-0427(99)00305-2","volume":"115","author":"J. Lorente-Pardo","year":"2000","unstructured":"J. Lorente-Pardo, P. Sablonni\u00e8re and M.C. Serrano-P\u00e9rez, On the convexity of B\u00e9zier nets of quadratic Powell-Sabin splines on 12-fold refined triangulations, J. Comput. Appl. Math. 115 (2000) 383\u2013396.","journal-title":"J. Comput. Appl. Math."},{"key":"325393_CR12","unstructured":"P. Sablonni\u00e8re and F. Zedek, Hermite and Lagrange interpolation by quadratic splines on nonuniform criss-cross triangulations, in: Wavelets, Images and Surfaces Fitting, eds. P.J. Laurent, A. Le M\u00e9haut\u00e9 and L.L. Schumaker (A.K. Peters, 1994) pp. 445\u2013452."},{"key":"325393_CR13","volume-title":"Sobre subarmon\u00eda y diversos tipos de convexidad de ciertas funciones polinomiales a trozos","author":"M.C. Serrano-P\u00e9rez","year":"1997","unstructured":"M.C. Serrano-P\u00e9rez, Sobre subarmon\u00eda y diversos tipos de convexidad de ciertas funciones polinomiales a trozos, Doctoral Dissertation, University of Granada, Spain (1997)."},{"key":"325393_CR14","doi-asserted-by":"publisher","first-page":"378","DOI":"10.1093\/comjnl\/24.4.378","volume":"24","author":"R. Sibson","year":"1981","unstructured":"R. Sibson and G.D. Thomson, A seamed quadratic element for contouring, Comput. J. 24 (1981) 378\u2013382.","journal-title":"Comput. J."},{"key":"325393_CR15","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1016\/0377-0427(94)90082-5","volume":"56","author":"K. Willemans","year":"1994","unstructured":"K. Willemans and P. Dierckx, Surface fitting using convex Powell-Sabin splines, J. Comput. Appl. Math. 56 (1994) 263\u2013282.","journal-title":"J. Comput. Appl. Math."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1018958328042.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1018958328042\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1018958328042.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,16]],"date-time":"2025-05-16T23:22:52Z","timestamp":1747437772000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1018958328042"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,7]]},"references-count":15,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2000,7]]}},"alternative-id":["325393"],"URL":"https:\/\/doi.org\/10.1023\/a:1018958328042","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"type":"print","value":"1019-7168"},{"type":"electronic","value":"1572-9044"}],"subject":[],"published":{"date-parts":[[2000,7]]}}}