Well posed non-orthogonal FDTD methods

Author

Gedney, S. ; Roden, J.A.

Author_Institution

Dept. of Electr. Eng., Kentucky Univ., Lexington, KY, USA

Volume

1

fYear

1998

fDate

21-26 June 1998

Firstpage

596

Abstract

It is demonstrated that the source of late time instabilities in the non-orthogonal FDTD (NFDTD) and discrete integral equation/generalized Yee (DSI/GY) methods is due to the ill-posed nature of the original formulations. Specifically, for general problems the explicit operators are not well posed. This leads to solutions that are unstable in the late time independent of the time step. Secondly, methods by which to repose the problem in a manner that is well posed, accurate and stable are presented.

Keywords

Maxwell equations; finite difference time-domain analysis; integral equations; mathematical operators; numerical stability; Maxwell´s equations; dielectric ring; discrete integral equation/generalized Yee method; explicit operators; ill-posed methods; late time instabilities; nonorthogonal FDTD methods; rectangular PEC cavity; time step; Difference equations; Eigenvalues and eigenfunctions; Finite difference methods; Integral equations; Interpolation; Laboratories; Magnetic fields; Stability; Symmetric matrices; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 1998. IEEE

Conference_Location

Atlanta, GA, USA

Print_ISBN

0-7803-4478-2

Type

conf

DOI

10.1109/APS.1998.699210

Filename

699210