Abstract
Purpose - The purpose of this paper is to propose the speed-up of the fixed-point method by updating the reluctivity at each iteration (this is called a modified fixed-point method). Design/methodology/approach - A modified fixed-point method, which updates the derivative of reluctivity at each iteration, is proposed. It is shown that the formulation of the fixed-point method using the derivative of reluctivity is almost the same as that of the Newton-Raphson method. The convergence characteristic of the newly proposed fixed-point method is compared with those of the Newton-Raphson method. Findings - The modified fixed-point method has an advantage that the programming is easy and it has a similar convergence property to the Newton-Raphson method for an isotropic nonlinear problem. Originality/value - This paper presents the formulation and convergence characteristic of the modified fixed-point method are almost the same as those of the Newton-Raphson method.
Original language | English |
---|---|
Article number | 17095996 |
Pages (from-to) | 1749-1759 |
Number of pages | 11 |
Journal | COMPEL - The international journal for computation and mathematics in electrical and electronic engineering |
Volume | 32 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2013 |
Keywords
- Finite element analysis
- Finite element methods
- Fixed-point method
- Magnetic fields
- Newton-Raphson method
- Non-linear analysis
ASJC Scopus subject areas
- Computer Science Applications
- Computational Theory and Mathematics
- Applied Mathematics
- Electrical and Electronic Engineering