ABSTRACT

In Chapters 6 and 7, we introduced two recently developed MFree methods, the element free Galerkin (EFG) method and the meshless local Petrov-Galerkin (MLPG) method. These two methods are currently widely used and work well for a broad range of problems of continuum mechanics. Both methods use moving least squares (MLS) approximation for constructing shape functions, and hence they are accompanied by issues related to the imposition of essential boundary conditions. We discussed also a number of ways to tackle these issues, which require extra efforts both in formulation and in computation.