Title
The Modified Direct Method: An Iterative Approach For Smoothing Planar Meshes
Abstract
The Modified Direct Method (MDM) is an iterative method for smoothing planar triangular, quadrilateral and tri-quad meshes, which has been developed from the non-iterative smoothing method for planar meshes that was originated by Balendran [1]. Its simple aim is to make triangular elements as close to equilateral as possible and quadrilateral elements as close to square as possible. The MDM is the computationally simpler of the two methods. The performance of the MDM for both triangular and quadrilateral meshes is effectively identical to that of Laplacian smoothing; however, it outperforms Laplacian smoothing for tri-quad meshes. Test examples show that the MDM is always convergent for triangular, quadrilateral and tri-quad meshes.
Year
DOI
Venue
2013
10.1016/j.procs.2013.05.418
2013 INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE
Keywords
DocType
Volume
Finite element, Mesh smoothing, Iterative smoothing, Laplacian smoothing
Conference
18
ISSN
Citations 
PageRank 
1877-0509
1
0.36
References 
Authors
3
3
Name
Order
Citations
PageRank
Gang Mei1236.98
John C. Tipper263.90
Nengxiong Xu3226.00