Fast method of approximate particular solutions using Chebyshev interpolation. (March 2016)

• Record Type: Journal Article
• Authors: Lamichhane, A.R.; Young, D.L.; Chen, C.S.
• Is Part Of: Engineering analysis with boundary elements. Volume 64(2016:Mar.)
• Page Start: 290
• Page End: 294
• Publication Date: 2016-03
• Subjects: Radial basis functions -- Meshless method -- Method of approximate particular solutions -- Chebyshev interpolation -- Fast summation method -- Fast method of approximate particular solutions; 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.2015.12.015
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: The fast method of approximate particular solutions (FMAPS) is based on the global version of the method of approximate particular solutions (MAPS). In this method, given partial differential equations are discretized by the usual MAPS and the determination of the unknown coefficients is accelerated using a fast technique. Numerical results confirm the efficiency of the proposed technique for the PDEs with a large number of computational points in both two and three dimensions.