A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach (Q1270801)

We present a method that combines the advantageous features of all the three methods: GFEM, BEM and EFGM. It is a meshless method. It involves only boundary integration, however, over a local boundary centered at the node in question; it poses no difficulties in satisfying essential boundary conditions; it leads to banded and sparse system matrices; it uses the moving least squares approximations. The method is based on a local boundary integral equation (LBIE) approach, which is quite general and easily applicable to nonlinear problems and to nonhomogeneous domains.