Yu, Chunxiao; Shen, Guangxian; Liu, Deyi Mathematical programming solution for the frictional contact multiple BEM. (English) Zbl 1139.74434 Tsinghua Sci. Technol. 10, No. 1, 51-56 (2005). Summary: This paper presents a new mathematical model for the highly nonlinear problem of frictional contact. A programming model, multipole boundary element method (BEM), was developed for 3-D elastic contact with friction to replace the Monte Carlo method. A numerical example shows that the optimization programming model for the point-to-surface contact with friction and the fast optimization generalized minimal residual algorithm (GMRES(m)) significantly improve the analysis of such problems relative to the conventional BEM. Cited in 2 Documents MSC: 74M15 Contact in solid mechanics 74S15 Boundary element methods applied to problems in solid mechanics 90C30 Nonlinear programming 65N38 Boundary element methods for boundary value problems involving PDEs Keywords:nonlinear programming; generalized minimal residual algorithm (GMRES(m)); point-to-surface contact; multipole boundary element method PDFBibTeX XMLCite \textit{C. Yu} et al., Tsinghua Sci. Technol. 10, No. 1, 51--56 (2005; Zbl 1139.74434) Full Text: DOI