A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach. (English) Zbl 0920.76054

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.


76M15 Boundary element methods applied to problems in fluid mechanics
74S15 Boundary element methods applied to problems in solid mechanics
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