A preconditioned dual-primal finite element tearing and interconnecting method for solving 3D time-harmonic Maxwell´s equations

Author

Xue, M.F. ; Jin, J.M.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA

fYear

2014

fDate

3-8 Aug. 2014

Firstpage

18

Lastpage

21

Abstract

This paper presents a new preconditioned dual-primal non-overlapping domain decomposition method for the finite element solution of three-dimensional large-scale electromagnetic problems. Fast convergence performance is achieved with the aid of (1) a higher-order transmission condition; (2) a global coarse space correction; and (3) an algebraic preconditioner. Several numerical examples with perfectly matched layer mesh truncations are presented to demonstrate the validity and the capability of this method.

Keywords

Maxwell equations; computational electromagnetics; convergence of numerical methods; electromagnetic field theory; mesh generation; 3D time-harmonic Maxwell equations; algebraic preconditioner; fast convergence performance; global coarse space correction; higher-order transmission condition; perfectly matched layer mesh truncations; preconditioned dual-primal finite element tearing and interconnecting method; preconditioned dual-primal nonoverlapping domain decomposition method; three-dimensional large-scale electromagnetic problems; Antennas; Convergence; Dielectrics; Electromagnetics; Equations; Finite element analysis; Lenses;

fLanguage

English

Publisher

ieee

Conference_Titel

Electromagnetics in Advanced Applications (ICEAA), 2014 International Conference on

Conference_Location

Palm Beach

Print_ISBN

978-1-4799-7325-5

Type

conf

DOI

10.1109/ICEAA.2014.6903822

Filename

6903822