Abstract
In this work a promising novel meshfree numerical formulation with improved accuracy based on the finite pointset method (FPM) is reported and implemented for the first time for linear elasticity problems. This truly meshfree approach is applied in order to solve the governing partial differential equations, the Navier–Cauchy equations. The numerical results of some 2D and 3D classical and well-known benchmark examples using this formulation are reported and compared with a previous FPM formulation which demonstrate the improvement in accuracy, and finally, the numerical solution of a three-dimensional realistic example is reported which suggest that the presented FPM approach is promising and feasible for this kind of problems in solid mechanics.
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