2D mesh generation scheme for adaptive remeshing process in finite element method

Abstract

The discretization of a whole domain is a prerequisite process for Finite Element Method (FEM). Since manual mesh generation is tedious, mesh generation schemes have been studied in recent years. In iterative analyses, the geometry of the domain is drastically changed by each iteration. It is known that mesh regeneration eliminates mesh distortion caused by the geometry change, which greatly affects the convergence of the whole analysis. If error control in the analysis is additionally considered in the mesh regeneration, such a process should be adaptive ; adaptive remeshing is required for a reliable solution. There are many mesh generators available, however, most of them require interaction with the user, and thus cannot be used for adaptive remeshing. In this paper, a sophisticated mesh generation scheme for the adaptive remeshing in the 2D FEM is discussed in detail. After comparison with other schemes, it is concluded that our scheme is superior to the others in terms of flexibility and time complexity.