Reliability Of Automatic 3d Mesh Generation

This paper considers issues critical to ensuring the reliability of automatic three-dimensional mesh generators. Building on basic concepts from geometric modeling, consideration is given to (i) the definition and assurance of a valid finite element mesh. (ii) the use of topological adjacency information to improve the reliability and efficiency of a meshing process, and (iii) how the geometric approximations used during the construction of a geometric model must be explicitly considered if the mesh generator's reliability is to be ensured.