Building Shape Functions On Convex Polyhedra Using Mls Interpolants And Rational Weights.

Gloria Simonetti, Carlos Zuppa


A method for building C0 shape functions on convex polyhedra using moving
least square interpolation with rational weights is introduced. These natural interpolants
are presented and their use in a meshless FEM scheme for the solutions of elliptic PDEs is
discussed. Numerical experiments are provided to demonstrate the utility and robustness
of the proposed method.

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