Abstract:

The authors presented  a strainconstructed point interpolation method (SC-PIM) by combining techniques of FEM and nodebased point interpolation method (NS-PIM). By introducing a parameter,  we further discussed the convergence, upper bound and lower bound solution, and superconvergence under the assumption of strain field being a linear combination of compatible stains and smoothed strains from SC-PIM.

Key words: meshfree methods, finite element method, point interpolation method, superconvergence