2D Mesh Generation Scheme for Adaptive Remeshing Process in FEM.

Akira Tezuka · TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A · 1994

The discretization of a whole domain is a prerequisite for FEM. Since manual mesh generation is a tedious process, the mesh generation scheme has been studied in recent years. In iterative analysis, the geometry of the domain is drastically changed during iterations. It is known that mesh regeneration eliminates mesh distortion caused by geometry change, which exerts unfavorable effects on the convergence of the whole analysis. If error control of the analysis is additionally considered, such a process should be adaptive ; adaptive remeshing is required for a reliable solution. There exist numerous mesh generators on the market ; however, most of them are based on an interactive procedure with a user, thus they cannot be used for the adaptive remeshing process. In this paper, a sophisticated mesh generation scheme for the adaptive remeshing process in 2D FEM is discussed in detail. After comparison with other schemes, it can be concluded that our scheme is superior to the others in terms of flexibility and time complexity.

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