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It is shown that when they are minimized in order to generate smooth and convex grids on irregular planar regions the optimization process converges notably faster than it does with other functionals previously reported.<\/jats:p>","DOI":"10.1137\/080745171","type":"journal-article","created":{"date-parts":[[2010,7,1]],"date-time":"2010-07-01T18:03:28Z","timestamp":1278007408000},"page":"1913-1928","source":"Crossref","is-referenced-by-count":6,"title":["Smoothness and Convex Area Functionals\u2014Revisited"],"prefix":"10.1137","volume":"32","author":[{"given":"P. Barrera","family":"S\u00e1nchez","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J. J.","family":"Cort\u00e9s","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"F. J.","family":"Dom\u00ednguez-Mota","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"G. Gonz\u00e1lez","family":"Flores","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J. G.","family":"Tinoco-Ruiz","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,7,1]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2007.04.015"},{"key":"R2","unstructured":"P. Barrera-S\u00e1nchez, L. Castellanos, F. J. Dom\u00ednguez-Mota, G. F. Gonz\u00e1lez-Flores, and A. P\u00e9rez-Dom\u00ednguez,\n                      Area functionals for high quality grid generation\n                      , in Proceedings of the 4th International Congress on Numerical Methods in Engineering and Applied Sciences, 2007."},{"key":"R3","unstructured":"P. Barrera-S\u00e1nchez, L. Castellanos, and A. P\u00e9rez-Dom\u00ednguez,\n                      M\u00e9todos variacionales discretos para la generaci\u00f3n de mallas\n                      , Technical report, DGAPA-UNAM, Mexico City, Mexico, 1994."},{"key":"R4","first-page":"845","volume":"43","author":"Barrera-S\u00e1nchez P.","year":"2003","journal-title":"Comput. Math. Math. Phys.","ISSN":"https:\/\/id.crossref.org\/issn\/0965-5425","issn-type":"print"},{"key":"R5","doi-asserted-by":"crossref","unstructured":"J. E. Castillo, ed.\n                      Mathematical Aspects of Numerical Grid Generation\n                      , Frontiers Appl. Math. 8, SIAM, Philadelphia, 1991.","DOI":"10.1137\/1.9781611971019"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1997.5750"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1016\/0041-5553(88)90157-7"},{"key":"R8","unstructured":"S. A. 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