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

Zhu, T.; Zhang, J.-D.; Atluri, S. N.

Comput. Mech. 21, No. 3, 223-235 (1998).

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

Keywords:

banded sparse system matrices; boundary integration; moving least squares approximations