Quality metrics for structured and unstructured mesh generation are placed within an
algebraic framework to form a mathematical theory of mesh quality metrics. The theory …

Explicit formulas for size, shape, skew, and combined mesh quality metrics are given for
triangular, tetrahedral, quadrilateral, and hexahedral finite elements. The formulas are …

Three‐dimensional unstructured tetrahedral and hexahedral finite element mesh
optimization is studied from a theoretical perspective and by computer experiments to …

A new software system called ADAPCRACK3D has been developed by the authors to
predict fatigue crack growth in arbitrary 3D geometries under complex loading by the use of …

The quality improvement in mesh optimisation techniques that preserve its connectivity are
obtained by an iterative process in which each node of the mesh is moved to a new position …

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” …

We present a new shape measure for tetrahedral elements that is optimal in that it gives the
distance of a tetrahedron from the set of inverted elements. This measure is constructed from …

This paper presents a tetrahedral mesh generation method for numerically solving partial
differential equations using finite element or finite volume methods in three‐dimensional …

In this paper, mesh deformation based on radial basis function (RBF) interpolation is applied
to the deflection of aircraft control surfaces. A confinement technique is presented, which …

We present a new shape measure for tetrahedral elements that is optimal in the sense that it
gives the distance of a tetrahedron from the set of inverted elements. This measure is …