Affiliations: Department of Electrical Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China
Correspondence:
[*]
Corresponding author: Weinong Fu, Department of Electrical Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China. E-mail:eewnfu@polyu.edu.hk
Abstract: State-of-the-art programming techniques of finite element
methods (FEM) for electromagnetic field computation are presented. It covers
program structure, data structure and algebraic matrix equation solver. The
advantages of the proposed program structure are that multi-developers are
empowered to work on different solvers and share common algorithms. The
beauty of the proposed data structure are that two dimensional (2-D) FEM,
multi-slice FEM and three-dimensional (3-D) FEM can share the same data
structure. It allows quick access to all data and is efficient for
organizing FEM programs and convenient for mesh generation. It can also deal
with motion problems readily. The merits of the matrix equation solver are
that it can automatically deal with Dirichlet boundary conditions,
master-salve boundary conditions and all other constraints in sparse matrix
equations. The sub-matrix operation technique allows the electric circuit
equations to be coupled easily with electromagnetic field equations. To
couple the FEM with optimization method, a parameterized mesh technique is
proposed to avoid mesh regeneration in the optimization progress.
Keywords: Date structure, electromagnetic field, finite element method, mesh generation, programming, sub-matrix
