Title :
An unconditionally stable parallel finite element time domain algorithm
Author :
Navsariwala, U.D. ; Gedney, S.
Author_Institution :
Dept. of Electr. Eng., Kentucky Univ., Lexington, KY, USA
Abstract :
The finite difference time domain method and finite element methods have proven to be highly effective techniques for the full wave analysis of microwave circuits and resonators. The finite difference time domain (FDTD) method is highly efficient, explicit and parallelizable. Finite element methods have been used in the frequency domain and in the time domain using implicit methods. Implicit methods require a solution of a linear system of equations at each time step. For the finite element time domain (FETD) algorithm to be competitive with the FDTD, the number of time iterations required for a simulation must be significantly less. An unconditionally stable FETD algorithm is used. The variational formulation is based on the vector wave equation. Unconditional stability is achieved by using a modified Newmark-Beta time integration technique. In addition, this algorithm is implemented on parallel message passing computers using a finite element tearing and interconnecting scheme. Some numerical examples based on cavity resonator problems are presented to demonstrate the efficiency and accuracy of the method and the parallel efficiency of the algorithm.
Keywords :
cavity resonators; electrical engineering; electrical engineering computing; finite element analysis; numerical stability; parallel algorithms; time-domain analysis; FDTD; cavity resonator; finite difference time domain; finite element interconnecting scheme; finite element methods; finite element tearing; finite element time domain; finite element time domain algorithm; frequency domain; full wave analysis; implicit methods; linear equations solution; microwave circuits; microwave resonators; parallel efficiency; parallel message passing computers; simulation; time integration; time iterations; unconditionally stable parallel algorithm; variational formulation; vector wave equation; Circuit analysis; Computational modeling; Equations; Finite difference methods; Finite element methods; Frequency domain analysis; Linear systems; Microwave circuits; Microwave theory and techniques; Time domain analysis;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1996. AP-S. Digest
Conference_Location :
Baltimore, MD, USA
Print_ISBN :
0-7803-3216-4
DOI :
10.1109/APS.1996.549554