Open AccessAnalysis of electrostatic and static magnetic field problems by advanced domain decomposition method
Author(s) -
Xie Peng,
Xu Li,
Yin Junhui,
Yang Zhonghai,
Li Bin
Publication year - 2019
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2019.1010
Subject(s) - conjugate gradient method , domain decomposition methods , finite element method , krylov subspace , matrix (chemical analysis) , electromagnetics , mathematics , iterative method , computation , derivation of the conjugate gradient method , matrix decomposition , mathematical analysis , computational electromagnetics , electromagnetic field , algorithm , computer science , conjugate residual method , physics , eigenvalues and eigenvectors , electronic engineering , engineering , gradient descent , materials science , quantum mechanics , machine learning , artificial neural network , composite material , thermodynamics
In this Letter, a finite element‐based domain decomposition method (DDM) with a novel transmission condition (TC) for the computation of electromagnetic or other kinds of fields by splitting the original large domain into several small non‐overlapping sub‐domains is proposed. The TC is derived from the definition of thermal contact resistance and is then imposed through an interior penalty formulation. The advantage of the proposed DDM is that no extra unknowns are introduced and the system matrix arising from the finite element method will be symmetric and positive definite. A Krylov subspace iterative method, preconditioned conjugate gradient, is adopted for the solution of the matrix equation. To verify the reliability and accuracy of the proposed DDM, both three‐dimensional electrostatic and static magnetic models are calculated. In some deeper sense, the proposed DDM can be widely used in other fields of computational electromagnetics.