<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Liu, Jianfei</style></author><author><style face="normal" font="default" size="100%">Bin Chen</style></author><author><style face="normal" font="default" size="100%">Yongqiang Chen</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Boundary recovery after 3D Delaunay tetrahedralization without adding extra nodes</style></title><secondary-title><style face="normal" font="default" size="100%">International Journal for Numerical Methods in EngineeringInternational Journal for Numerical Methods in Engineering</style></secondary-title><alt-title><style face="normal" font="default" size="100%">Int J Numer Meth Eng</style></alt-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">boundary recovery</style></keyword><keyword><style  face="normal" font="default" size="100%">bubble packing method</style></keyword><keyword><style  face="normal" font="default" size="100%">delaunay tetrahedralization</style></keyword><keyword><style  face="normal" font="default" size="100%">finite-element mesh</style></keyword><keyword><style  face="normal" font="default" size="100%">generation</style></keyword><keyword><style  face="normal" font="default" size="100%">local transformation</style></keyword><keyword><style  face="normal" font="default" size="100%">polyhedron</style></keyword><keyword><style  face="normal" font="default" size="100%">size</style></keyword><keyword><style  face="normal" font="default" size="100%">sphere packing</style></keyword><keyword><style  face="normal" font="default" size="100%">spr operation</style></keyword><keyword><style  face="normal" font="default" size="100%">strategy</style></keyword><keyword><style  face="normal" font="default" size="100%">triangulation</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">Nov 5</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">6</style></number><volume><style face="normal" font="default" size="100%">72</style></volume><pages><style face="normal" font="default" size="100%">744-756</style></pages><isbn><style face="normal" font="default" size="100%">0029598110970207</style></isbn><language><style face="normal" font="default" size="100%">English</style></language><abstract><style face="normal" font="default" size="100%">In this paper, we investigate boundary recovery, the problem that has troubled researchers ever since Delaunay-based methods were applied to generate mesh. There are a number of algorithms for boundary recovery already and most of them depend heavily on adding extra nodes. In this paper, we make an effort to seek a method to recover boundaries without using extra nodes.It was noted that some previous algorithms imposed artificial boundary constraints on a meshing problem at the recovering stage; we first try to discard these artificial constraints and thus make things easier. Then a new method is proposed by which the boundaries can be recovered by means of two operations: (1) creating a segment in the mesh and (2) removing a segment from the mesh. Both operations are special cases of a general local transformation called small polyhedron reconnection operation. The method works well when coupled with the sphere-packing method proposed by the first author. If the mesh sizing function is suitable, a good configuration of nodes will be created accordingly by the sphere-packing method and the boundary can be recovered by the local transformation presented here without inserting extra nodes. Copyright (c) 2007 John Wiley &amp;amp; Sons, Ltd.</style></abstract><accession-num><style face="normal" font="default" size="100%">WOS:000250788100005</style></accession-num><notes><style face="normal" font="default" size="100%">229fiTimes Cited:13Cited References Count:26</style></notes><section><style face="normal" font="default" size="100%">744</style></section><auth-address><style face="normal" font="default" size="100%">Peking Univ, Dept Engn Sci &amp;amp; Mech, LTCS, Beijing 100871, Peoples R ChinaPeking Univ, Natl Lab Mach Percept, Beijing 100871, Peoples R China</style></auth-address></record></records></xml>