Mesh Free Radial Point Interpolation Based Displacement Recovery Techniques for Elastic Finite Element Analysis

The study develops the displacement error recovery method in a mesh free environment for finite element solution employing radial point interpolation (RPI) technique. RPI technique uses basis functions (RBF), along with polynomials to interpolate fields node patch and recovers field. global local errors are quantified both energy L2 norms from post-processed considers multi-quadrics/gaussian/thin plate splint RBF combination linear function analysis. elastic examples analyzed demonstrate convergence effectivity of procedures dependent patches. performance RPI-based estimators is also compared least square based estimator. triangular quadrilateral elements used discretization plates domains. It verified that their shape parameters, choice elements, influence considerably on solution. numerical results show more effective achieve target accuracy adaptive analysis smaller number as square. concluded proposed may prove be most suitable problems dealing large domain changes discontinuities.