Improvement to the PML boundary condition in the FEM using mesh compression

Author

Mitchell, Arnan ; Kokotoff, David M. ; Austin, Michael W.

Author_Institution

Dept. of Commun. & Electr. Eng., R. Melbourne Inst. of Technol., Vic., Australia

Volume

50

Issue

5

fYear

2002

fDate

5/1/2002 12:00:00 AM

Firstpage

1297

Lastpage

1302

Abstract

Numerical errors encountered when using the perfectly matched layer (PML) absorbing boundary condition with the finite-element method are investigated to discover more efficient implementation schemes. Closed-form expressions for the numerical reflection at an interface between two general biaxial materials are applied to the special case of a PML boundary. Expressions for an anisotropically compressed mesh are then derived, revealing that reflections can be greatly reduced through increasing mesh density only where it is required. Significant improvements over previously reported PML boundaries are demonstrated

Keywords

absorbing media; electromagnetic wave absorption; error analysis; mesh generation; PML absorbing boundary condition; anisotropically compressed mesh; arbitrary interface; closed-form expressions; efficient implementation schemes; finite-element method; general biaxial materials; mesh compression; node-basis functions; numerical errors; numerical reflection; Anisotropic magnetoresistance; Boundary conditions; Closed-form solution; Electromagnetic reflection; Finite difference methods; Finite element methods; Geometry; Helium; Perfectly matched layers; Time domain analysis;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.999142

Filename

999142