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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.

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