Adaptive node moving refinement in discrete least squares meshless method using charged system search


1 Department of Civil Engineering, Shahid Rajaee Teacher Training University, P.O. Box 16785-‎‎136, Tehran, Iran ‎

2 Centre of Excellence for Fundamental Studies in Structural Engineering, Iran University of ‎Science and Technology, Narmak, Tehran, P.O. Box 16846-13114, Iran‎


Discrete Least Squares Meshless (DLSM) method has been used for the solution of different problems ranging from solid to fluid mechanics problems. In DLSM method the locations of discretizationpoints are random. Therefore, the error of the initial solution is rather high.In this paper, an adaptive node moving refinement in DLSM method is presented using the Charged System Search (CSS) for optimum analysis of elasticity problems. The CSS algorithm is effectively utilized to obtain suitable locations of the nodes. The CSS is a multi-agent optimization technique based on some principles of physics and mechanics. Each agent, called a Charged Particle (CP), is a sphere with uniform charge density that can attract other CPs by considering the fitness of the CP.To demonstrate the effectiveness of the proposed method, some benchmark examples with available analytical solutions are used. The results show an excellent performance of the CSS for adaptive refinement in meshless method.