Performance of the Alternating Direction Implicit Scheme With Recursive Sparsification for the Finite Element Time Domain Method

Autor:	Alex S. Moura, Werley G. Facco, Rodney R. Saldanha, Elson J. Silva
Rok vydání:	2015
Předmět:	Alternating direction implicit method Matrix (mathematics) Scheme (mathematics) Applied mathematics Inverse Mixed finite element method Electrical and Electronic Engineering Finite element method Electronic Optical and Magnetic Materials Sparse matrix Cholesky decomposition Mathematics
Zdroj:	IEEE Transactions on Magnetics. 51:1-4
ISSN:	1941-0069 0018-9464
DOI:	10.1109/tmag.2014.2349942
Popis:	In this paper, we solve the $ \mathcal {E}$ and $ \mathcal {B}$ mixed finite element time domain formulation using the alternating-direction implicit (ADI) scheme in time. To save computational cost, the algorithm is improved using a recursive sparsification procedure that approximates the inverse matrix needed to calculate the electric field. Although the method is unconditionally stable, we show that the numerical performance of the algorithm is strongly related to the time step. Numerical results demonstrated that for the same accuracy our approach is much faster than the ADI with Cholesky factorization.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e144e4fe437e05cea86316083eab9c81 https://doi.org/10.1109/tmag.2014.2349942 Zobrazit plný text záznamu