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2012 A Novel Mesh Quality Improvement Method for Boundary Elements
Hou-lin Liu, Cui Dai, Liang Dong, Ming-gao Tan
J. Appl. Math. 2012: 1-13 (2012). DOI: 10.1155/2012/109542


In order to improve the boundary mesh quality while maintaining the essential characteristics of discrete surfaces, a new approach combining optimization-based smoothing and topology optimization is developed. The smoothing objective function is modified, in which two functions denoting boundary and interior quality, respectively, and a weight coefficient controlling boundary quality are taken into account. In addition, the existing smoothing algorithm can improve the mesh quality only by repositioning vertices of the interior mesh. Without destroying boundary conformity, bad elements with all their vertices on the boundary cannot be eliminated. Then, topology optimization is employed, and those elements are converted into other types of elements whose quality can be improved by smoothing. The practical application shows that the worst elements can be eliminated and, with the increase of weight coefficient, the average quality of boundary mesh can also be improved. Results obtained with the combined approach are compared with some common approach. It is clearly shown that it performs better than the existing approach.


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Hou-lin Liu. Cui Dai. Liang Dong. Ming-gao Tan. "A Novel Mesh Quality Improvement Method for Boundary Elements." J. Appl. Math. 2012 1 - 13, 2012.


Published: 2012
First available in Project Euclid: 5 April 2013

zbMATH: 1268.65159
MathSciNet: MR3005169
Digital Object Identifier: 10.1155/2012/109542

Rights: Copyright © 2012 Hindawi


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