Title :
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
fDate :
5/1/2002 12:00:00 AM
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;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
