{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,19]],"date-time":"2025-03-19T11:27:50Z","timestamp":1742383670439},"publisher-location":"Berlin, Heidelberg","reference-count":39,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540349570"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-34958-7_11","type":"book-chapter","created":{"date-parts":[[2007,7,19]],"date-time":"2007-07-19T14:45:47Z","timestamp":1184856347000},"page":"173-190","source":"Crossref","is-referenced-by-count":12,"title":["Anisotropic Mesh Adaptation for Evolving Triangulated Surfaces"],"prefix":"10.1007","author":[{"given":"Xiangmin","family":"Jiao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrew","family":"Colombi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinlai","family":"Ni","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"John C.","family":"Hart","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"11_CR1","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1145\/882262.882296","volume":"22","author":"P. Alliez","year":"July 2003","unstructured":"[1] P. Alliez, D. Cohen-Steiner, O. Devillers, B. L\u00e9vy, and M. Desbrun. Anisotropic polygonal remeshing. ACM Trans. Graph., 22:485\u2013493, July 2003.","journal-title":"ACM Trans. Graph."},{"key":"11_CR2","doi-asserted-by":"crossref","unstructured":"[2] P. Alliez, E. Colin de Verdi\u00e8re, O. Devillers, and M. Isenburg. Isotropic surface remeshing. In Proc. Shape Modeling Intl., 2003.","DOI":"10.1109\/SMI.2003.1199601"},{"key":"11_CR3","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1016\/S0045-7825(99)00200-5","volume":"182","author":"R. Almeida","year":"2000","unstructured":"[3] R. Almeida, P. Feijoo, A. Galeao, C. Padra, and R. Silva. Adaptive finite element computational fluid dynamics using an anisotropic error estimator. Comput. Methods Appl. Mech. Engrg., 182:379\u2013400, 2000.","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"key":"11_CR4","doi-asserted-by":"publisher","first-page":"555","DOI":"10.1016\/j.jcp.2003.12.009","volume":"197","author":"E. Aulisa","year":"2004","unstructured":"[4] E. Aulisa, S. Manservisi, and R. Scardovelli. A surface marker algorithm coupled to an area-preserving marker redistribution method for three-dimensional interface tracking. J. Comput. Phys., 197:555\u2013584, 2004.","journal-title":"J. Comput. Phys."},{"key":"11_CR5","doi-asserted-by":"crossref","unstructured":"[5] A. Bargteil, T. Goktekin, J. O'Brien, and J. Strain. A semi-lagrangian contouring method for fluid simulation. ACM Trans. Graph., 25, 2006.","DOI":"10.1145\/1122501.1122503"},{"key":"11_CR6","doi-asserted-by":"publisher","first-page":"915","DOI":"10.1002\/(SICI)1097-0207(19980315)41:5<915::AID-NME318>3.0.CO;2-Y","volume":"41","author":"H. Borouchaki","year":"1998","unstructured":"[6] H. Borouchaki and P. Frey. Adaptive triangular-quadrilateral mesh generation. Int. J. Numer. Meth. Engr., 41:915\u2013934, 1998.","journal-title":"Int. J. Numer. Meth. Engr."},{"key":"11_CR7","unstructured":"[7] F. J. Bossen and P. S. Heckbert. A pliant method for anisotropic mesh generation. In Proc. 5th Int. Meshing Roundtable, pages 63\u201374, Oct. 1996."},{"key":"11_CR8","doi-asserted-by":"publisher","first-page":"4119","DOI":"10.1002\/(SICI)1097-0207(19971130)40:22<4119::AID-NME254>3.0.CO;2-R","volume":"40","author":"G. Buscaglia","year":"1997","unstructured":"[8] G. Buscaglia and E. Dari. Anisotropic mesh optimization and its application in adaptivity. Int. J. Numer. Meth. Engr., 40:4119\u20134136, 1997.","journal-title":"Int. J. Numer. Meth. Engr."},{"key":"11_CR9","doi-asserted-by":"publisher","first-page":"525","DOI":"10.1007\/s004540010080","volume":"25","author":"H. Cheng","year":"2001","unstructured":"[9] H. Cheng, T. Dey, H. Edelsbrunner, and J. Sullivan. Dynamic skin triangulation. Disc. Comput. Geom., 25:525\u2013568, 2001.","journal-title":"Disc. Comput. Geom."},{"key":"11_CR10","doi-asserted-by":"crossref","unstructured":"[10] S.-W. Cheng, T. K. Dey, E. A. Ramos, and R. Wenger. Anisotropic surface meshing. In Proc. 17th ACM-SIAM Sympos. Discrete Algorithms, pages 202\u2013211, 2006.","DOI":"10.1145\/1109557.1109581"},{"key":"11_CR11","doi-asserted-by":"publisher","first-page":"1063","DOI":"10.1137\/0910064","volume":"10","author":"E. D'Azevedo","year":"1989","unstructured":"[11] E. D'Azevedo and R. Simpson. On optimal interpolation triangle incidences. SIAM J. Sci. Stat. Comput., 10:1063\u20131075, 1989.","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"11_CR12","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1007\/BF01385784","volume":"59","author":"E. D'Azevedo","year":"1991","unstructured":"[12] E. D'Azevedo and R. Simpson. On optimal triangular meshes for minimizing the gradient error. Numer. Math., 59:321\u2013348, 1991.","journal-title":"Numer. Math."},{"key":"11_CR13","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1007\/s007910050015","volume":"1","author":"V. Dolejsi","year":"1998","unstructured":"[13] V. Dolejsi. Anisotropic mesh adaptation for finite volume and finite element methods on triangular meshes. Comput. Vis. Sci., 1:165\u2013178, 1998.","journal-title":"Comput. Vis. Sci."},{"key":"11_CR14","doi-asserted-by":"publisher","first-page":"613","DOI":"10.1016\/j.jcp.2005.08.034","volume":"213","author":"J. Du","year":"2006","unstructured":"[14] J. Du, B. Fix, J. Glimm, X. Jia, X. Li, Y. Li, and L. Wu. A simple package for front tracking. J. Comput. Phys., 213:613\u2013628, 2006.","journal-title":"J. Comput. Phys."},{"key":"11_CR15","doi-asserted-by":"publisher","first-page":"737","DOI":"10.1137\/S1064827503428527","volume":"26","author":"Q. Du","year":"2005","unstructured":"[15] Q. Du and D. Wang. Anisotropic centroidal Voronoi tessellations and their applications. SIAM J. Sci. Comput., 26:737\u2013761, 2005.","journal-title":"SIAM J. Sci. Comput."},{"key":"11_CR16","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1006\/jcph.2002.7166","volume":"183","author":"D. Enright","year":"2002","unstructured":"[16] D. Enright, R. Fedkiw, J. Ferziger, and I. Mitchell. A hybrid particle level set method for improved interface capturing. J. Comput. Phys., 183:83\u2013116, 2002.","journal-title":"J. Comput. Phys."},{"key":"11_CR17","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1016\/j.compstruc.2004.04.024","volume":"83","author":"D. Enright","year":"2005","unstructured":"[17] D. Enright, F. Losasso, and R. Fedkiw. A fast and accurate semi-Lagrangian particle level set method. Comput. Struc., 83:479\u2013490, 2005.","journal-title":"Comput. Struc."},{"key":"11_CR18","unstructured":"[18] P. Frey. About surface remeshing. In Proc. 9th Int. Meshing Roundtable, pages 123\u2013136, Oct. 2000."},{"key":"11_CR19","doi-asserted-by":"publisher","first-page":"725","DOI":"10.1002\/(SICI)1097-0363(20000330)32:6<725::AID-FLD935>3.0.CO;2-4","volume":"32","author":"W. G. Habashi","year":"2000","unstructured":"[19] W. G. Habashi, J. Dompierre, Y. Bourgault, D. Ait-Ali-Yahia, M. Fortin, and M.-G. Vallet. Anisotropic mesh adaptation: Towards user-independent, meshindependent and solver-independent CFD. Part I: General principles. Int. J. Numer. Meth. Fluids, 32:725\u2013744, 2000.","journal-title":"Int. J. Numer. Meth. Fluids"},{"key":"11_CR20","doi-asserted-by":"crossref","unstructured":"[20] P. S. Heckbert and M. Garland. Optimal triangulation and quadric-based surface simplification. Comput. Geom., pages 49\u201365, 1999.","DOI":"10.1016\/S0925-7721(99)00030-9"},{"key":"11_CR21","unstructured":"[21] X. Jiao. Face offsetting: A united approach for explicit moving interfaces. J. Comput. Phys., 2006. To appear."},{"key":"11_CR22","doi-asserted-by":"crossref","unstructured":"[22] X. Jiao. Volume and feature preservation in surface mesh optimization. In Proc. 15th Int. Meshing Roundtable, 2006.","DOI":"10.1007\/978-3-540-34958-7_21"},{"key":"11_CR23","doi-asserted-by":"crossref","unstructured":"[23] X. Jiao and P. Alexander. Parallel feature-preserving mesh smoothing. In Proc. Int. Conf. Comput. Sci. Appl., pages 1180\u20131189, 2005.","DOI":"10.1007\/11424925_123"},{"key":"11_CR24","doi-asserted-by":"crossref","unstructured":"[24] E. Kreyszig. Introduction to Differential Geometry and Riemannian Geometry, volume 16 of Mathematical Expositions. University of Toronto Press, 1968.","DOI":"10.3138\/9781487589448"},{"key":"11_CR25","doi-asserted-by":"crossref","unstructured":"[25] F. Labelle and J. R. Shewchuk. Anisotropic Voronoi diagrams and guaranteedquality anisotropic mesh generation. In Proc. 19th Ann. ACM Sympos. Comput. Geom., pages 191\u2013200. ACM, 2003.","DOI":"10.1145\/777792.777822"},{"key":"11_CR26","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1016\/0045-7825(96)01028-6","volume":"134","author":"M. Lesoinne","year":"1996","unstructured":"[26] M. Lesoinne and C. Farhat. Geometric conservation laws for flow problems with moving boundaries and deformable meshes and their impact on aeroelastic computations. Comput. Methods Appl. Mech. Engrg, 134:71\u201390, 1996.","journal-title":"Comput. Methods Appl. Mech. Engrg"},{"key":"11_CR27","doi-asserted-by":"publisher","first-page":"627","DOI":"10.1137\/0733033","volume":"33","author":"R. Leveque","year":"1996","unstructured":"[27] R. Leveque. High-resolution conservative algorithms for advection in incompressible flow. SIAM J. Numer. Anal., 33:627\u2013665, 1996.","journal-title":"SIAM J. Numer. Anal."},{"key":"11_CR28","doi-asserted-by":"publisher","first-page":"4915","DOI":"10.1016\/j.cma.2004.11.019","volume":"194","author":"X. Li","year":"2005","unstructured":"[28] X. Li, M. S. Shephard, and M. W. Beall. 3d anisotropic mesh adaptation by mesh modification. Comput. Methods Appl. Mech. Engrg., 194:4915\u20134950, 2005.","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"key":"11_CR29","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/S0168-874X(01)00051-8","volume":"38","author":"S. Lo","year":"2001","unstructured":"[29] S. Lo. 3-d anisotropic mesh refinement in compliance with a general metric specification. Finite Elements Anal. Design, 38:3\u201319, 2001.","journal-title":"Finite Elements Anal. Design"},{"key":"11_CR30","doi-asserted-by":"crossref","unstructured":"[30] M. Meyer, M. Desbrun, P. Schroder, and A. Barr. Discrete Differential-geometry operators for triangulated 2-manifolds. In H.-C. Hege and K. Polthier, editors, Visualization and Mathematics III, pages 35\u201358, 2003.","DOI":"10.1007\/978-3-662-05105-4_2"},{"key":"11_CR31","unstructured":"[31] E. Nadler. Piecewise linear best L2 approximation on triangulations. In C. K. C. et al., editor, Approximation Theory V, pages 499\u2013502. Academic Press, 1986."},{"key":"11_CR32","doi-asserted-by":"publisher","first-page":"1211","DOI":"10.1002\/fld.1650071105","volume":"7","author":"J. Oden","year":"1987","unstructured":"[32] J. Oden, T. Strouboulis, and P. Devloo. Adaptive finite element methods for high-speed compressible flows. Int. J. Numer. Meth. Fluids, 7:1211\u20131228, 1987.","journal-title":"Int. J. Numer. Meth. Fluids"},{"key":"11_CR33","unstructured":"[33] Y. Ohtake, A. G. Belyaev, and H.-P. Seidel. Mesh smoothing by adaptive and anisotropic Guassian filter. In Vision, Modeling and Visualization, pages 203\u2013210, 2002."},{"issue":"3","key":"11_CR34","doi-asserted-by":"publisher","first-page":"488","DOI":"10.1145\/1015706.1015750","volume":"23","author":"V. Ostromoukhov","year":"2004","unstructured":"[34] V. Ostromoukhov, C. Donohue, and P.-M. Jodoin. Fast hierarchical importance sampling with blue noise properties. ACM Trans. Graph., 23(3):488\u2013495, 2004.","journal-title":"ACM Trans. Graph."},{"key":"11_CR35","doi-asserted-by":"publisher","first-page":"449","DOI":"10.1016\/0021-9991(87)90093-3","volume":"72","author":"J. Peraire","year":"1987","unstructured":"[35] J. Peraire, M. Vahdati, K. Morgan, and O. Zienkiewicz. Adaptive remeshing for compressible flow computations. J. Comput. Phys., 72:449\u2013466, 1987.","journal-title":"J. Comput. Phys."},{"key":"11_CR36","unstructured":"[36] J. R. Shewchuk. What is a good linear element? interpolation, conditioning, and quality measures. In Proc. 11th Int. Meshing Roundtable, pages 115\u2013126, 2002."},{"key":"11_CR37","unstructured":"[37] K. Shimada, A. Yamada, and T. Itoh. Anisotropic triangular meshing of parametric surfaces via close packing of ellipsoidal bubbles. In Proc. 6th Int. Meshing Roundtable, pages 375\u2013390, 1997."},{"key":"11_CR38","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1016\/0168-9274(94)90025-6","volume":"14","author":"R. B. Simpson","year":"1994","unstructured":"[38] R. B. Simpson. Anisotropic mesh transformations and optimal error control. Applied Numer. Math., 14:183\u2013198, 1994.","journal-title":"Applied Numer. Math."},{"key":"11_CR39","doi-asserted-by":"publisher","first-page":"708","DOI":"10.1006\/jcph.2001.6726","volume":"169","author":"G. Tryggvason","year":"2001","unstructured":"[39] G. Tryggvason, B. Bunner, A. Esmaeeli, D. Juric, N. Al-Rawahi, W. Tauber, J. Han, S. Nas, and Y.-J. Jan. A front-tracking method for the computations of multiphase flow. J. Comput. Phys., 169:708\u2013759, 2001.","journal-title":"J. Comput. Phys."}],"container-title":["Proceedings of the 15th International Meshing Roundtable"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-34958-7_11.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,3]],"date-time":"2021-05-03T03:46:00Z","timestamp":1620013560000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-34958-7_11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540349570"],"references-count":39,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-34958-7_11","relation":{},"subject":[]}}