Electromagnetic Field Finite Element Method

Author: Jin Jianming
Publisher:
Publish Date: 2001-06-01
Features: Electromagnetic Field Finite Element Method This book systematically introduces the principles and methods of electromagnetic acoustic finite elements for the first time. First, it briefly reviews the finite element method and its foundations: the Ritz variational method and the Galerkin method, introducing the concept and basic steps of the finite element method with examples. Then, it describes the finite element analysis of one-dimensional, two-dimensional, and three-dimensional problems, establishing the general form of the strict finite element solution for each type of problem, from which the solution of specific problems can be derived. This book describes the new developments in the finite element method for electromagnetic fields, including hybrid methods such as the finite element-absorbing boundary condition method, the finite element-boundary integral method, and the finite element-eigenfunction expansion method, and provides finite element solutions for electromagnetic scattering and radiation problems in these regions. It also introduces various variational principles that can be used to establish variational finite element formulas for practical physical problems. It presents various two-dimensional and three-dimensional edge finite element methods, whose applications have brought the finite element method for electromagnetic fields into a new era. The book also provides numerous examples of finite element applications, including calculations of electrostatic and magnetostatic fields, determination of waveguide and cavity characteristics, and scattering and radiation analysis. It includes a large number of references and a certain number of exercises. This book can serve as a textbook for senior undergraduate and graduate students, as well as a reference for researchers in electromagnetics.