Performance Of Interpolating Approximation Schemes In Mlpg Meshless Solver

An interpolating moving least square (MLS) approximation was applied in the Meshless Petrov Galerkin method for a solution of Laplace equation. Accuracy and calculation complexity have been analyzed. Results show that original and interpolating MLS schemes are comparable in accuracy, with a small advantage for MLS. The interpolating MLS supports the direct imposition of essential boundary conditions, like in FEM.