An optimized Dynamic Load Balancing method for parallel 3-D mesh refinement for finite element electromagnetics with Tetrahedra

A new Dynamic Load Balancing (DLB) method for automatic performance tuning in parallel, adaptive, 3-D mesh refinement is developed based on study of characteristics of Finite Element Method (FEM) on electromagnetics with tetrahedra. On the top of existing DLB algorithms, the new design optimized the task pool location of each Processing Element (PE) and the initial data assignments in multiprocessor parallel architecture. To accomplish our method, we investigate it by applying the algorithm in implementations of parallel 3-D Hierarchical Tetrahedra and Octahedra (HTO) mesh refinement. By comparing the benchmark results derived from the performance measures of the new method with the performance results from other two existing DLB algorithms running the same HTO example geometric mesh refinement model and on the same parallel architecture, the benefits of the new method for achieving high performance parallel mesh refinement are demonstrated.