E. J. Sellountos1, V. Vavourakis2, D. Polyzos3
CMES-Computer Modeling in Engineering & Sciences, Vol.7, No.1, pp. 35-48, 2005, DOI:10.3970/cmes.2005.007.035
Abstract A new meshless local Petrov-Galerkin (MLPG) type method based on local boundary integral equation (LBIE) considerations is proposed for the solution of elastostatic problems. It is called singular/hypersingular MLPG (LBIE) method since the representation of the displacement field at the internal points of the considered structure is accomplished with the aid of the displacement local boundary integral equation, while for the boundary nodes both the displacement and the corresponding traction local boundary integral equations are employed. Nodal points spread over the analyzed domain are considered and the moving least squares (MLS) interpolation scheme for the approximation of the interior and… More >