A meshless complex variable Galerkin boundary node method for potential and Stokes problems. (October 2017)

• Record Type: Journal Article
• Authors: Tang, Yaozong; Li, Xiaolin
• Is Part Of: Engineering analysis with boundary elements. Volume 83(2017)
• Page Start: 204
• Page End: 216
• Publication Date: 2017-10
• Subjects: Meshless methods -- Complex variable moving least squares approximation -- Boundary integral equations -- Galerkin boundary node method -- Error estimates -- Stokes flows; 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.2017.07.025
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: In this study, combining the boundary integral equations (BIEs) with the complex variable moving least squares (CVMLS) approximation, a symmetric and boundary-only meshless method, the complex variable Galerkin boundary node method (CVGBNM), is developed. Numerical applications and theoretical error estimates of the CVGBNM are derived for BIEs, potential problems and Stokes problems. Finally, numerical examples are given to demonstrate the efficacy of the method.