A high accurate simulation of thin plate problems by using the method of approximate particular solutions with high order polynomial basis. (September 2018)

• Record Type: Journal Article
• Authors: Xiong, Jingang; Jiang, Pengfei; Zheng, Hui; Chen, C.S.
• Is Part Of: Engineering analysis with boundary elements. Volume 94(2018)
• Page Start: 153
• Page End: 158
• Publication Date: 2018-09
• Subjects: Method of approximate particular solutions -- Polynomial basis -- Particular solution -- Radial basis functions; 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.2018.06.009
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: In this paper, a closed-form particular solution of polyharmonic splines has been obtained for high order partial differential operators. Instead of using complex derivation, the new particular solution is derived simply by adding or subtracting several available particular solutions. The proposed particular solution is further coupled with polynomial basis for numerically solving thin plate problems. The relationship between number of nodes and order of polynomials are fully studied. Numerical examples with irregular domains are presented to demonstrate the effectiveness of the proposed algorithm.