This is the first comprehensive monograph that features state-of-the-art multigrid methods for enhancing the modeling versatility, numerical robustness, and computational efficiency of one of the most popular classes of numerical electromagnetic field modeling methods: the method of finite elements. The focus of the publication is the development of robust preconditioners for the iterative solution of electromagnetic field boundary value problems (BVPs) discretized by means of finite methods.
目 錄
1. Introduction.
2. Hierarchical Basis Functions for Triangles and Tetrahedra.
3. Finite Element Formulations of Electromagnetic BVPs.
4. Iterative Methods, Preconditioners, and Multigrid.
5. Nested Multigrid Preconditioner.
6. Nested Multigrid Vector and Scaler Potential Preconditioner.
7. Hierarchical Multilevel and Hybrid Potential Preconditioners.
8. Krylov-Subspace Based Eigenvalue Analysis.
9. Two-Dimensional Eigenvalue Analysis of Waveguides.
10. Three-Dimensional Eigenvalue Analysis of Resonators.
11. Model Order Reduction of Electromagnetic Systems.
12. Finite Element Analysis of Periodic Structures.
Appendix A: Identities and Theorems from Vector Calculus.
Index.
