FAST ELECTROMAGNETIC SIMULATION ALGORITHM BASED ON HIERARCHICAL AND CURVILINEAR FINITE ELEMENTS

摘要

In this article, hierarchical finite element method (FEM) based on curvilinear elements is used to study three-dimensional (3D) electromagnetic problems. The incomplete Cholesky preconditioned loose generalized minimal residual solver (LGMRES) based on decomposition algorithm (DA) is applied to solve the FEM equations. The efficiency of the proposed approach is studied on several numerical problems. Numerical results demonstrate that the DA-based LGMRES is especially effective when the hierarchical FEM is used to solve 3D electromagnetic problems.