E. Onate et al., A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS - APPLICATIONS TO CONVECTIVE-TRANSPORT AND FLUID-FLOW, International journal for numerical methods in engineering, 39(22), 1996, pp. 3839-3866
The paper presents a fully meshless procedure for solving partial diff
erential equations. The approach termed generically the 'finite point
method' is based on a weighted least square interpolation of point dat
a and point collocation for evaluating the approximal:ion integrals. S
ome examples showing the accuracy of the method for solution of adjoin
t and non-self adjoint equations typical of convective-diffusive trans
port and also to the analysis of a compressible fluid mechanics proble
m are presented.