Title :
Well posed non-orthogonal FDTD methods
Author :
Gedney, S. ; Roden, J.A.
Author_Institution :
Dept. of Electr. Eng., Kentucky Univ., Lexington, KY, USA
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;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1998. IEEE
Conference_Location :
Atlanta, GA, USA
Print_ISBN :
0-7803-4478-2
DOI :
10.1109/APS.1998.699210
