✦ LIBER ✦

The multigrid preconditioned flexible GMRES solver for hierarchical TVFEM analysis

✍ Scribed by J. Zhu; Wanchun Tang

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 367 KB
Volume: 49
Category: Article
ISSN: 0895-2477
DOI: 10.1002/mop.22577

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The H~1~(curl) conforming finite element method is applied for the finite‐element modeling of electromagnetic structures. A p‐version multigrid method combined with flexible GMRES solver is introduced to solve the finite element system. In this scheme, the p‐version multigrid is applied as the preconditioner and the flexible GMRES solver is performed as outer iteration. Therefore, the proposed technique can efficiently eliminate the low frequency components of the error of the numerical solution and can achieve fast convergence. Numerical simulation demonstrates the superior numerical convergence of the proposed method. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 2012–2018, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22577

📜 SIMILAR VOLUMES

The SSOR-preconditioned inner outer flex

The SSOR-preconditioned inner outer flexible GMRES method for the FEM analysis of EM problems

✍ X. W. Ping; R. S. Chen; K. F. Tsang; Edward K.N. Yung 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 398 KB 👁 1 views

## Abstract When solving electromagnetic problems by finite element method, the resulting linear systems are ill‐conditioned when the PML absorbing layers are adopted. Traditional Krylov iterative algorithms usually converge slowly or may even stagnate. In this paper, the combination of the inner–o