Finite element modeling and multigrid preconditioner using adaptive triangular meshes

Author

Zhu, Yu ; Kuo, An-Yu ; Cangellaris, Andreas C.

Author_Institution

Cadence Design Syst. Inc., San Jose, CA, USA

Volume

16

Issue

6

fYear

2006

fDate

6/1/2006 12:00:00 AM

Firstpage

357

Lastpage

359

Abstract

The letter describes a finite element method (FEM) using adaptive triangular meshes for the modeling of microwave devices. A robust preconditioning technique is provided for the fast solution of the resultant FEM matrix equations. The proposed preconditioner is based on a multigrid scheme for the vector-scalar potential FE formulation of the electromagnetic problem. Numerical experiments demonstrate its superior numerical convergence.

Keywords

mesh generation; microwave devices; FEM matrix equations; adaptive triangular meshes; electromagnetic problem; finite element method; microwave devices modeling; multigrid method; multigrid preconditioner; multigrid scheme; vector-scalar potential formulation; Application software; Convergence of numerical methods; Equations; Finite element methods; Mesh generation; Microwave devices; Microwave theory and techniques; Multigrid methods; Robustness; Transmission line matrix methods; Adaptive triangular mesh; finite element method (FEM); multigrid method; nested grid; vector and scalar potential formulation;

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/LMWC.2006.875618

Filename

1637494