Automating Three-Dimensional Finite Element Mesh Generation

by James C. Cavendish, GM Research Lab, Warren, MI, USA,
David A. Field, GM Research Lab, Warren, MI, USA,
William H. Frey, GM Research Lab, Warren, MI, USA,

Abstract: A number of important advances and contributions to the topic of computer aided finite element mesh generation have been made by the Mathematics Department at the General Motors Research Laboratories. Three of these contributions, blending function interpolation and two types of triangulation mesh generation, have proven particularly useful in practical applications. The purpose of this paper is to review the development of these mesh generation activities, to discuss the weaknesses and strengths of each approach, and to describe the particular engineering applications which motivated the development of these methods and which have benefited substantially from their use. In addition, we will discuss where future research efforts should be directed to increase the flexibility and broaden the application scope for these approaches.

Subject Headings: Mesh generation | Mathematics | Computer models | Finite element method | Triangulation | Mathematical models | Computer aided operations | Motivation

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