RECENT ADVANCES IN LOCALIZED COLLOCATION SOLVERS BASED ON SEMI-ANALYTICAL BASIS FUNCTIONS

Abstract

This paper presents a brief overview of recently developed localized collocation solvers and their various engineering applications. The research progress of localized collocation solvers is discussed, and their basic mathematical formulations are summarized. Finally, applications for thermal analysis in functionally graded materials and steady-state convection-diffusion equation with nonhomogeneous term are given.