Phong B.H. Le1, Timon Rabczuk2, Nam Mai-Duy1, Thanh Tran-Cong1
CMES-Computer Modeling in Engineering & Sciences, Vol.61, No.1, pp. 63-110, 2010, DOI:10.3970/cmes.2010.061.063
Abstract A novel approximation method using integrated radial basis function networks (IRBFN) coupled with moving least square (MLS) approximants, namely moving integrated radial basis function networks (MIRBFN), is proposed in this work. In this method, the computational domain Ω is divided into finite sub-domains ΩI which satisfy point-wise overlap condition. The local function interpolation is constructed by using IRBFN supported by all nodes in subdomain ΩI. The global function is then constructed by using Partition of Unity Method (PUM), where MLS functions play the role of partition of unity. As a result, the proposed method is locally supported and yields sparse… More >
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