Compact approximation stencils based on integrated flat radial basis functions. (January 2017)

• Record Type: Journal Article
• Authors: Mai-Duy, N.; Le, T.T.V.; Tien, C.M.T.; Ngo-Cong, D.; Tran-Cong, T.
• Is Part Of: Engineering analysis with boundary elements. Volume 74(2017:Jan.)
• Page Start: 79
• Page End: 87
• Publication Date: 2017-01
• Subjects: Compact approximation -- Local approximation -- Integrated radial basis function -- Flat radial basis function; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2016.11.002
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: This paper presents improved ways of constructing compact integrated radial basis function (CIRBF) stencils, based on extended precision, definite integrals, higher-order IRBFs and minimum number of derivative equations, to enhance their performance over large values of the RBF width. The proposed approaches are numerically verified through second-order linear differential equations in one and two variables. Significant improvements in the matrix condition number, solution accuracy and convergence rate with grid refinement over the usual approaches are achieved.