A complex variable boundary point interpolation method for the nonlinear Signorini problem. (15th June 2020)

• Record Type: Journal Article
• Authors: Li, Xiaolin; Li, Shuling
• Is Part Of: Computers & mathematics with applications. Volume 79:issue 12(2020)
• Page Start: 3297
• Page End: 3309
• Publication Date: 2020-06-15
• Subjects: Meshless method -- Boundary integral equation -- Point interpolation method -- Complex variable -- Nonlinear inequality boundary condition -- Signorini problem; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2020.01.030
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: A complex variable boundary point interpolation method (CVBPIM) is presented for numerical analysis of the nonlinear Signorini problem. To reduce the computational cost and to improve the stability of the point interpolation method, a complex variable point interpolation method (CVPIM) is developed to construct meshless shape functions with interpolation properties. By using a projection technique to deal with the nonlinear inequality boundary conditions, and combining boundary integral equations with the CVPIM to establish discrete linear algebraic systems, the CVBPIM is an easy-to-implement and boundary-only meshless method for nonlinear Signorini problems. Numerical results are presented to show the accuracy and efficiency of the method.