Combining the improved interpolating moving least-square (IIMLS) method and boundary integral equations (BIEs), a novel boundary-only meshless method, the interpolating boundary element-free method (IBEFM), is developed for the numerical solution of Signorini problems. In this method, a projection operator is used to tackle the nonlinear boundary inequality conditions. The Signorini problem is then reformulated as BIEs and the unknown boundary variables are approximated by the IIMLS method. The convergence of the meshless method is derived mathematically. Numerical examples showed high accuracy and high convergence rates of the method. The results have shown the feasibility and effectiveness of the method for Signorini problems, and the precision and convergence rate of the results is better than those of the boundary element method.
