Basic Study on Element-Free Galerkin Method(2nd Report, Application to Two-dimensional Potential Problem).

A coupled Element Free Galerkin / Boundary Element method for stress analysis of two-dimensional solids

(2001) A coupled Element Free Galerkin / Boundary Element method for stress analysis of two-dimensional solids. Abstract Element Free Galerkin (EFG) method is a newly developed meshless method for solving partial differential equations using Moving Least Squares interpolants. It is, however, computationally expensive for many problems. A coupled EFG/Boundary Element (BE) method is proposed in t...

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media

An element-free Galerkin method for three-dimensional fracture mechanics

The application of a coupled ®nite element± element-free Galerkin (EFG) method to problems in threedimensional fracture is presented. The EFG method is based on moving least square (MLS) approximations and uses only a set of nodal points and a CAD-like description of the body to formulate the discrete model. The EFG method is coupled with the ®nite element method which allows for the use of the...

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media

Application of Boundera Element Method (Bem) to Two-Dimensional Poisson's Eqation

BEM can be used to solve Poisson's equation if the right hand side of the equation  is constant because it can easily be transformed to an equivalent Laplace equation. However, if the right hand side is not constant, then such a treatment is impossible and part of the equation can not be transformed over the boundary, hence, the whole domain has to be discretized. Although this takes away impor...