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A finite point method in computational mechanics. Applications to convective transport and fluid flow. (English) Zbl 0884.76068
Summary: The paper presents a fully meshless procedure for solving partial differential equations. The approach termed generically the ‘finite point method’ is based on a weighted least square interpolation of point data and point collocation for evaluating the approximation integrals. Some examples showing the accuracy of the method for solution of adjoint and non-self adjoint equations typical of convective-diffusive transport, and also an application to the analysis of a compressible fluid mechanics problem, are presented.
MSC:
76M25Other numerical methods (fluid mechanics)
76R99Diffusion and convection (fluid mechanics)