Application of the method of fundamental solutions to 2D and 3D Signorini problems. (September 2015)

• Record Type: Journal Article
• Authors: Zheng, Hongyan; Li, Xiaolin
• Is Part Of: Engineering analysis with boundary elements. Volume 58(2015:Sep.)
• Page Start: 48
• Page End: 57
• Publication Date: 2015-09
• Subjects: Method of fundamental solutions -- Signorini problem -- Projection iterative -- Convergence; 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.2015.03.008
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: This paper presents an application of the method of fundamental solutions (MFS) for the numerical solution of 2D and 3D Signorini problems. In our application, by using a projection technique to tackle the nonlinear Signorini boundary inequality conditions, the original Signorini problem is transformed into a sequence of linear elliptic boundary value problems and then solved by the MFS. Convergence and efficiency of the present MFS is proved theoretically and verified numerically.