Title :
A note on mass lumping in the finite element time domain method
Author_Institution :
Dept. of Electr. & Comput. Eng., Ohio State Univ., Columbus, OH, USA
Abstract :
Mass lumping has been used to produce explicit time integration schemes for the finite element time domain method. In this paper, we show that a specific choice in the lumping procedure can produce a scheme that is equivalent to the finite difference time domain method. If lumping is done in the time integration process, one can show that it can be equivalent to the Newmark-beta method.
Keywords :
computational electromagnetics; finite difference time-domain analysis; finite element analysis; wave equations; FDTD; FETD; Newmark-beta method; finite domain time domain method; finite element method; mass lumping; rectangular waveguide; time integration scheme; wave equation; Difference equations; Finite difference methods; Finite element methods; Partial differential equations; Time domain analysis; Finite element methods; finite-difference time-domain (FDTD) methods;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2005.863159
