Title :
Improving the Newmark time integration scheme in finite element time domain methods
Author :
Artuzi, Wilson A., Jr.
Author_Institution :
Dept. of Electr. Eng., Parana Fed. Univ., Curitiba, Brazil
Abstract :
The Newmark formulation for the time-stepping solution of the electric field vector wave equation is modified in order to suppress low-frequency spurious responses. It is verified that the proposed method has the advantage of halving the number of iterations necessary to solve the system of linear equations and it is shown that setting the number of iterations per time step can be more convenient than establishing a residual tolerance to verify convergence. In addition, the use of diagonal and incomplete Cholesky preconditioners are tested through numerical examples and they appear to be equivalent in terms of CPU time, leaving the first as the preferable choice concerning memory storage and programing facilities.
Keywords :
conjugate gradient methods; electromagnetic wave propagation; finite element analysis; integral equations; time-domain analysis; wave equations; CPU time; Cholesky preconditioners; Newmark time integration scheme; conjugate gradient; electric field vector wave equation; finite element time domain methods; linear equations; low-frequency spurious responses; memory storage; programing facilities; residual tolerance; time-stepping solution; Character generation; Convergence; Finite element methods; Frequency; Partial differential equations; Surface resistance; Testing; Time domain analysis; Vectors; Voltage; Conjugate gradient; Newmark integration; finite element time domain (FETD); vector wave equation;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2005.859968
