Element Method And Its Applications

In most meshless methods based on weights with compact support, difficulties arise in nonconvex bodies such as bodies containing crack. In chapter 3, several methods are discussed to solve this problem. Boundary and boundary conditions are an important aspect of numerical solutions of partial differential equations where the element free Galerkin method have had to surmount many initial difficulties due to the lack of a finite-element-like Kronecker Delta conditions. In the chapter 4, some methods are proposed for the imposition of the essential boundary conditions. An algorithm based on d'Alembert principle is discussed in details. In the chapter 5, some examples are illustrates the performance of the techniques introduced above.