This paper presents a review of the principal developments in functionally graded materials
(FGMs) with an emphasis on the recent work published since 2000. Diverse areas relevant …

Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …

A mapping method is developed to integrate weak singularities, which result from
enrichment functions in the generalized/extended finite element method. The integration …

Reliable computational techniques are developed for the solution of two-dimensional (2-d)
transient heat conduction problems in anisotropic media with continuously variable material …

Due to rapid development of boundary element method (BEM), this article explores the
evolution of BEM over the past half century. We here summarize the overall development …

The Galerkin boundary node method (GBNM) is a boundary only meshless method that
combines an equivalent variational formulation of boundary integral equations for governing …

An unstructured finite-volume time-domain method (UFVTDM) is developed to solve two-
dimensional transient heat conduction in multilayer functionally graded materials (FGMs). A …

The meshless local boundary integral equation (MLBIE) method with an efficient technique
to deal with the time variable are presented in this article to analyze the transient heat …

Efficient computational techniques are developed for 2D potential problems in anisotropic
media with continuously variable material coefficients. The method is based on integral …

The numerical implementation of Green's function for an isotropic exponentially graded
three-dimensional elastic solid is reported. The formulas for the non-singular 'grading term'in …