Generalized Finite Element Methods: Main Ideas, Results, and Perspective

摘要

This paper is an overview of the main ideas of the Generalized Finite Element Method (GFEM). We present the basic results, experiences with, and potentials of this method. The GFEM is a generalization of the classical Finite Element Method in its h, p, and h-p versions as well as of the various forms of meshless methods used in engineering.