TY  - EJOU
AU  - Lee, Chany  
AU  - Im, Chang-Hwan  
AU  - Jung, Hyun-Kyo  
AU  - Kim, Hong-Kyu  
AU  - Kim, Do Wan  

TI  - A Posteriori Error Estimation and Adaptive Node Refinement for Fast Moving Least Square Reproducing Kernel (FMLSRK) Method
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2007
VL  - 20
IS  - 1
SN  - 1526-1506

AB  - In the present study, a residual-based a posteriori error estimation for a kind of meshless method, called fast moving least square reproducing kernel (FMLSRK) method is proposed. The proposed error estimation technique does not require any integration cells in evaluating error norm but recovers the exact solutions in a virtual area defined by a dilation parameter of FMLSRK and node density. The proposed technique was tested on typical electrostatic problems with gird or random node sets and the simulation results show that the proposed error estimation technique can be applied to adaptive node refinement process for more efficient meshless analysis of electromagnetic field.
KW  - Adaptive node refinement
KW  -  electrostatics
KW  -  error estimation
KW  -  fast moving least square reproducing kernel (FMLSRK) method
KW  -  meshless methods

DO  - 10.3970/cmes.2007.020.035