A preliminary approach to simulate parallel mesh refinement with Petri nets for 3-D finite element electromagnetics

An approach utilizing Petri Nets for modeling and evaluating parallel, unstructured mesh refinement is developed. A model is implemented based on a detailed software prototype and system architecture, which mimics the behavior of the parallel meshing. Subsequently, estimates for performance measures are derived from discrete event simulations. The potential benefits and related costs of this new approach for developing high performance parallel mesh refinement algorithms are examined.