{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T22:16:43Z","timestamp":1773785803519,"version":"3.50.1"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2011,4,21]],"date-time":"2011-04-21T00:00:00Z","timestamp":1303344000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Engineering with Computers"],"published-print":{"date-parts":[[2012,1]]},"DOI":"10.1007\/s00366-011-0215-0","type":"journal-article","created":{"date-parts":[[2011,4,20]],"date-time":"2011-04-20T08:19:38Z","timestamp":1303287578000},"page":"31-56","source":"Crossref","is-referenced-by-count":7,"title":["Quadrilateral meshes with provable angle bounds"],"prefix":"10.1007","volume":"28","author":[{"given":"F. Betul","family":"Atalay","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Suneeta","family":"Ramaswami","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dianna","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,4,21]]},"reference":[{"key":"215_CR1","doi-asserted-by":"crossref","first-page":"717","DOI":"10.1002\/nme.1620260314","volume":"26","author":"DJ. Allman","year":"1988","unstructured":"Allman DJ (1988) A quadrilateral finite element including vertex rotations for plane elasticity analysis. Int J Numer Methods Eng 26:717\u2013730","journal-title":"Int J Numer Methods Eng"},{"key":"215_CR2","doi-asserted-by":"crossref","unstructured":"Atalay FB, Ramaswami S, Xu D (2008) Quadrilateral meshes with bounded minimum angle. In: Proceedings of the 17th International Meshing Roundtable. Springer, Heidelberg, pp 73\u201391","DOI":"10.1007\/978-3-540-87921-3_5"},{"key":"215_CR3","unstructured":"Benzley S, Perry E, Merkley K, Clark B, Sjaardema G (1995) A comparison of all hexahedral and all tetrahedral finite element meshes for elastic and elastic-plastic analysis. In: Proceedings of the 4th international meshing roundtable, pp 179\u2013192"},{"key":"215_CR4","unstructured":"Bern M, Eppstein D (1997) Quadrilateral meshing by circle packing. In: 6th IMR, pp 7\u201319"},{"key":"215_CR5","doi-asserted-by":"crossref","first-page":"384","DOI":"10.1016\/S0022-0000(05)80059-5","volume":"48","author":"M Bern","year":"1994","unstructured":"Bern M, Eppstein D, Gilbert J (1994) Provably good mesh generation. J Comp Sys Sci 48:384\u2013409","journal-title":"J Comp Sys Sci"},{"issue":"4","key":"215_CR6","doi-asserted-by":"crossref","first-page":"811","DOI":"10.1002\/nme.1620320410","volume":"32","author":"T Blacker","year":"1991","unstructured":"Blacker T, Stephenson M (1991) Paving: a new approach to automated quadrilateral mesh generation. Int J Numer Methods Eng 32(4):811\u2013847","journal-title":"Int J Numer Methods Eng"},{"key":"215_CR7","volume-title":"What every engineer should know about finite element analysis, 2nd edition","year":"1993","unstructured":"Brauer, JR (eds) (1993) What every engineer should know about finite element analysis, 2nd edition. Marcel-Dekker, NY"},{"key":"215_CR8","doi-asserted-by":"crossref","unstructured":"Cheng S-W, Dey T, Ramos E, Ray T (2004) Quality meshing for polyhedra with small angles. In: Proceedings 20th annual symposium on computational geometry","DOI":"10.1145\/997817.997862"},{"key":"215_CR9","doi-asserted-by":"crossref","unstructured":"Chew LP (1993) Guaranteed-quality mesh generation for curved surfaces. In: Proceedings of the 9th ACM symposium on computational geometry, pp 274\u2013280","DOI":"10.1145\/160985.161150"},{"key":"215_CR10","unstructured":"Chew LP (1997) Guaranteed-quality delaunay meshing in 3d. In: Proceedings of the 13th ACM symposium on computational geometry, pp 391\u2013393"},{"key":"215_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-61568-9","volume-title":"Algorithms in combinatorial geometry","author":"H Edelsbrunner","year":"1987","unstructured":"Edelsbrunner H (1987) Algorithms in combinatorial geometry. Springer, Berlin"},{"key":"215_CR12","unstructured":"Everett H, Lenhart W, Overmars M, Shermer T, Urrutia J (1992) Strictly convex quadrilaterilizations of polygons. In: Proceedings 4th Canadian conference on computational geometry, pp 77\u201382"},{"key":"215_CR13","unstructured":"Hine S, Atalay FB, Xu D, Ramaswami S (2009) Video: quadrilateral meshes with bounded minimum angle. In: Proceedings 25th ACM symposium on computational geometry (SoCG 2009), pp 90\u201391"},{"key":"215_CR14","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1108\/eb023689","volume":"4","author":"J Robinson","year":"1987","unstructured":"Robinson J (1987) Cre method of element testing and the jacobian shape parameters. Eng Comput 4:113\u2013118","journal-title":"Eng Comput"},{"issue":"1","key":"215_CR15","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1002\/nme.1620310105","volume":"31","author":"B.P. Johnston","year":"1991","unstructured":"Johnston BP, Sullivan JM, Kwasnik A (1991) Automatic conversion of triangular finite meshes to quadrilateral elements. Int J Numer Methods Eng 31(1):67\u201384","journal-title":"Int J Numer Methods Eng"},{"key":"215_CR16","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1002\/(SICI)1097-0207(20000530)48:3<401::AID-NME880>3.0.CO;2-D","volume":"48","author":"Patrick M Knupp","year":"2000","unstructured":"Knupp Patrick M (2000) Achieving finite element mesh quality via optimization of the jacobian matrix norm and associated quantities. Part i\u2014a framework for surface mesh optimization. Int J Numer Methods Eng 48:401\u2013420","journal-title":"Int J Numer Methods Eng"},{"key":"215_CR17","doi-asserted-by":"crossref","unstructured":"Miller GL, Talmor D, Teng S-H, Walkington N (1995) A delaunay based numerical method for three dimensions: Generation, formulation, and partition. In: Proceedings of the 27th ACM symposium on the theory of computing, pp 683\u2013692","DOI":"10.1145\/225058.225286"},{"key":"215_CR18","doi-asserted-by":"crossref","unstructured":"Mitchell S, Vavasis S (1992) Quality mesh generation in three dimensions. In: Proceedings of the 8th annual symposium on computational geometry, pp 212\u2013221","DOI":"10.1145\/142675.142720"},{"key":"215_CR19","doi-asserted-by":"crossref","unstructured":"Ramaswami S, Siqueira M, Sundaram T, Gallier J, Gee J (2005) Constrained quadrilateral meshes of bounded size. Int J Comput Geom Appl 15(1):55\u201398 (invited to special issue of selected papers from the 12th IMR)","DOI":"10.1142\/S0218195905001609"},{"key":"215_CR20","unstructured":"Shewchuk J (2002) Constrained Delaunay tetrahedralizations and provably good boundary recovery. In: Proceedings of the 11th international meshing roundtable, pp 193\u2013204"},{"key":"215_CR21","doi-asserted-by":"crossref","unstructured":"Shewchuk JR (1996) Triangle: engineering a 2D quality mesh generator and Delaunay triangulator. In: Applied computational geometry: towards geometric engineering. LNCS, vol 1148","DOI":"10.1007\/BFb0014497"},{"key":"215_CR22","volume-title":"The finite element method","author":"OC Zienkiewicz","year":"1989","unstructured":"Zienkiewicz OC, Taylor RL (1989) The finite element method. McGraw-Hill, NY"}],"container-title":["Engineering with Computers"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-011-0215-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00366-011-0215-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-011-0215-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,10]],"date-time":"2019-06-10T01:22:41Z","timestamp":1560129761000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00366-011-0215-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,4,21]]},"references-count":22,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["215"],"URL":"https:\/\/doi.org\/10.1007\/s00366-011-0215-0","relation":{},"ISSN":["0177-0667","1435-5663"],"issn-type":[{"value":"0177-0667","type":"print"},{"value":"1435-5663","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,4,21]]}}}