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    ARTICLE

    A comparison study on different MLPG (LBIE) formulations

    V. Vavourakis1, E. J. Sellountos2, D. Polyzos3

    CMES-Computer Modeling in Engineering & Sciences, Vol.13, No.3, pp. 171-184, 2006, DOI:10.3970/cmes.2006.013.171

    Abstract Comparison studies on the accuracy provided by five different elastostatic Meshless Local Petrov-Galerkin (MLPG) type formulations, based on Local Boundary Integral Equation (LBIE) considerations, are made. The main differences of these MLPG(LBIE) formulations, as they compared to each other, are concentrated on the treatment of tractions on the local and global boundaries and the way of imposing the boundary conditions of the elastostatic problem. Both the Moving Least Square (MLS) approximation scheme and the Radial Basis Point Interpolation Functions (RBPIF) are exploited for the interpolation of the interior and boundary variables. Two representative elastostatic problems are solved and the relative… More >

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