Abstract
The tree-cotree splitting algorithm is applied to the time-domain finite-element analysis of electromagnetic problems to accelerate the time-marching process. Based on the splitting of finite-element edges into tree and cotree edges, two sets of basis functions are formed to expand the electric field and construct the time-marching system. Inclusion of the time-domain waveguide port boundary condition and lumped port interfaces is also discussed. It is shown that application of the tree-cotree splitting to the time-domain finite-element analysis maintains the solution accuracy while significantly reducing the iteration count per time step for a preconditioned iterative solution when the time-step size becomes relatively large. As a result, it allows adoption of a larger time-step size within the requirement of the temporal sampling rate to achieve a faster time-marching process with a marginal additional cost. The tree-cotree splitting algorithm also suppresses the late-time linear drift associated with the conventional time-domain finite-element method.
| Original language | English (US) |
|---|---|
| Article number | 5422676 |
| Pages (from-to) | 1590-1600 |
| Number of pages | 11 |
| Journal | IEEE Transactions on Antennas and Propagation |
| Volume | 58 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 2010 |
Keywords
- Full-wave analysis
- Time marching
- Time-domain finite-element method
- Transient analysis
- Tree-cotree splitting
ASJC Scopus subject areas
- Electrical and Electronic Engineering