TY - EJOU
AU - Li, Xiaolin
AU - Zhu, Jialin
TI - A Galerkin Boundary Node Method for Two-Dimensional Linear Elasticity
T2 - Computer Modeling in Engineering \& Sciences
PY - 2009
VL - 45
IS - 1
SN - 1526-1506
AB - In this paper, a Galerkin boundary node method (GBNM) is developed for boundary-only analysis of 2D problems in linear elasticity. The GBNM combines the variational form of a boundary integral formulation for the elastic equations with the moving least-squares approximations for generating the trial and test functions. Unlike the boundary node method, the main idea here is to use the Galerkin scheme for numerical analysis, thus boundary conditions in the GBNM can be satisfied easily and directly in the weak formulation of the boundary integral equation. Another advantage with the Galerkin scheme is that the GBNM can keep the symmetry and positive definiteness of the variational problems. The error analysis and convergence study of the GBNM in Sobolev spaces are given. Numerical examples are also presented to show the efficiency of the method.
KW - Meshless
KW - moving least-squares
KW - boundary integral equations
KW - Galerkin boundary node method
DO - 10.3970/cmes.2009.045.001