Parallel Hierarchical E-H Time-Domain Finite Element Method for Maxwell's Equations

We propose a parallel E-H time-domain finite-element method (TDFEM) for first-order Maxwell's equations. The hierarchical vector basis functions for tetrahedral element and Crank-Nicolson difference scheme for time-partial differential equation are incorporated into the TDFEM with both E and H as field variables. The hierarchical E-H TDFEM is parallelized on a parallel unstructured mesh framework called JAUMIN. The realistic accelerator cavity is simulated by the parallel hierarchical E-H TDFEM on hundreds of processors. The numerical results show the validity and efficiency of the parallel hierarchical E-H TDFEM. Meanwhile, the good parallel efficiency obtained shows that our algorithm is highly scalable.