The New Collocation Meshless Method for Analyses of Forming Problems
In this paper, an upsetting problem is analyzed by using a new meshless method called the overrange collocation method (ORCM). By introducing some collocation points, which are located at outside of domain of the analyzed body, unsatisfactory issue of the positivity conditions of boundary points in collocation methods can be avoided. Because the overrange points are used only in interpolating calculation, no over-constrain condition is imposed into solved boundary value problems.
Y. M. Guo and S. Kamitani, "The New Collocation Meshless Method for Analyses of Forming Problems", Key Engineering Materials, Vols. 480-481, pp. 1396-1401, 2011