Table of Contents
ISRN Applied Mathematics
Volume 2011 (2011), Article ID 509721, 13 pages
Research Article

Fast Point and Element Search Method in Adaptive Remeshing Procedure and Its Applications

Gamma3 Project Team (ICD/GAMM3), Charles Delaunay Institute, University of Technology of Troyes, 12 Marie Curie street, BP2060, 10010 Troyes Cedex, France

Received 5 April 2011; Accepted 3 May 2011

Academic Editor: X. Xue

Copyright © 2011 Jie Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The FPES (fast point and element search) method is a useful and efficient strategy for node field transfer from old mesh to the new mesh in adaptive remeshing procedure. The FE mesh after adaptive remeshing with various error estimates will be refined at local region, and the mesh after adaptive remeshing has the heterogeneous density distribution. The FPES has the capacity to define the nearest search path adapting to the mesh with heterogeneous density distribution. It is a point location process which includes point searching, point location in element, and weight factor distribution. This strategy has been integrated to our finite element adaptive remeshing simulations, and it works well and rapidly. The three-dimension finite element numerical simulation of simply tensile test, orthogonal cutting, and metal milling process is given out to study its accuracy and efficiency.