We analyze the joint efforts made by the geometry processing and the numerical analysis
communities in the last decades to define and measure the concept of “mesh quality” …

In this paper, several mesh optimization schemes based on Optimal Delaunay
Triangulations are developed. High-quality meshes are obtained by minimizing the …

This paper presents a general mesh smoothing method for finite elements. The method
deals with two and three-dimensional meshes with virtually any type of element. To evaluate …

As an elementary mesh quality improvement technique, smoothing has been widely used in
finite element (FE) analysis. Heuristic smoothing methods and optimization-based …

In the context of multiple constitutive models, multiple finite element formulations and crack
nucleation and propagation hypotheses, we propose a simple yet effective algorithm to …

In this paper, a systematic approach for elastic finite strain crack propagation with multiple
cohesive cracks and self-contact is described. Crack paths are determined by the CTOD …

Mesh quality plays an essential role in finite element applications, since it affects the
efficiency of the simulation with respect to solution accuracy and computational effort …

The development of parallel algorithms for mesh generation, untangling, and quality
improvement is of high importance due to the need for large meshes with millions to billions …

Mesh quality is critical to the accuracy and efficiency of finite element calculations, and mesh
smoothing is an essential means of reducing the number of poor elements and improving …

Despite its great success in improving the quality of a tetrahedral mesh, the original optimal
Delaunay triangulation (ODT) is designed to move only inner vertices and thus cannot …