Title :
Suppressing linear time growth in edge element based finite element time domain solution using divergence free constraint equation
Author :
Venkatarayalu, Neelakantam V. ; Vouvakis, Marinos N. ; Gan, Yeow-Beng ; Lee, Jin-Fa
Author_Institution :
Temasek Labs., Nat. Univ. of Singapore, Singapore
Abstract :
Edge elements have been a popular choice of basis functions for the solution of Maxwell´s equations using the finite element method. When applied in time domain finite elements (Lee, J.-F., 1994), late time linear time growth (Hwang, C.-T. and Wu, R.-B., 1999) is observed. A method to suppress the linear time growth observed in FETD (finite element time domain) solutions is presented. The method is based on constraint equations to restrict the vector finite element solution to be divergence-free. Thus, gradient vector functions in the solution are suppressed. The method is applied to a ridged cavity and the elimination of non-physical low frequency terms is observed.
Keywords :
Maxwell equations; cavity resonators; computational electromagnetics; finite element analysis; time-domain analysis; Maxwell equation solution; basis functions; divergence free constraint equation; edge elements; finite element method; finite element time domain solution; gradient vector function suppression; linear time growth suppression; nonphysical low frequency terms; ridged cavity resonant modes; vector finite element solution; Finite element methods; Frequency domain analysis; Gallium nitride; Laboratories; Matrix decomposition; Maxwell equations; Null space; Partial differential equations; Testing; Vectors;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2005 IEEE
Print_ISBN :
0-7803-8883-6
DOI :
10.1109/APS.2005.1552776
