Lee, Chany; Im, Chang-Hwan; Jung, Hyun-Kyo; Kim, Hong-Kyu; Kim, Do Wan A posteriori error estimation and adaptive node refinement for fast moving least square reproducing kernel (FMLSRK) method. (English) Zbl 1184.65098 CMES, Comput. Model. Eng. Sci. 20, No. 1, 35-42 (2007). Summary: 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. Cited in 3 Documents MSC: 65N15 Error bounds for boundary value problems involving PDEs Keywords:adaptive node refinement; electrostatics; error estimation; fast moving least square reproducing kernel (FMLSRK) method; meshless methods PDFBibTeX XMLCite \textit{C. Lee} et al., CMES, Comput. Model. Eng. Sci. 20, No. 1, 35--42 (2007; Zbl 1184.65098)