A bounded aspect-ratio coarsening sequence of an unstructured mesh M 0 is a sequence of meshes M 1 ; : : : ; M k such that: M i is a bounded aspect-ratio mesh, and M i is an approximation of M i?1 that has fewer elements, where a mesh is called a bounded aspect-ratio mesh if all its elements are of bounded aspect-ratio. The sequence is node-nested if the set of the nodes of M i is a subset of t...

The development of high-order computational methods for solving partial differential equations on unstructured grids has been underway for many years. Such methods critically depend on the availability of high-quality curvilinear meshes, as one badly-shaped element can degrade the solution in the whole domain [2]. The usual way of generating curved meshes is to first generate a straight sided m...

We present a computational module for interactively visualizing, large-scale, 3D un-structured meshes. Scientists and engineers routinely solve large-scale computational boundary value problems on unstructured grids. These grids typically range from several hundred thousand elements to millions of elements. With this ability to solve such large-scale problems comes the challenge of viewing the ...

The co-volume integration method, Yee’s scheme, generalized to unstructured mesh is considered and compared with time domain finite element method (TDFE). In order to generate the meshes for which a good quality dual mesh is ensured, a new point placing method for the generation of meshes appropriate for the use of the co-volume method is proposed. Numerical examples are presented which demonst...