TY - GEN
T1 - Waveform relaxation technique for longitudinal partitioning of transmission lines
AU - Gander, Martin
AU - Al-Khaleel, Mohammad
AU - Ruehli, Albert E.
PY - 2006
Y1 - 2006
N2 - Recently, the classical Waveform Relaxation (WR) approach was shown to be quite effective in solving the excessive runtime problem for multiple coupled transmission lines by a so-called transverse partitioning technique. The WR approach yields a remarkable linear increase in run time with respect to the number of lines. For some problems with more complex circuit topologies, additional splittings are desirable besides the transverse TL partitioning. This paper presents a new approach for the efficient longitudinal splitting for TEM mode transmission line problems. Previous longitudinal partitioning work using the classical WR for transmission lines led to limited solutions. This resulted in too many WR iterations and challenging partitioning problems. Here, we demonstrate a new optimized longitudinal WR algorithm for a single transmission line and determine an optimal choice of parameters. We give numerical examples to show the drastically improved convergence behavior.
AB - Recently, the classical Waveform Relaxation (WR) approach was shown to be quite effective in solving the excessive runtime problem for multiple coupled transmission lines by a so-called transverse partitioning technique. The WR approach yields a remarkable linear increase in run time with respect to the number of lines. For some problems with more complex circuit topologies, additional splittings are desirable besides the transverse TL partitioning. This paper presents a new approach for the efficient longitudinal splitting for TEM mode transmission line problems. Previous longitudinal partitioning work using the classical WR for transmission lines led to limited solutions. This resulted in too many WR iterations and challenging partitioning problems. Here, we demonstrate a new optimized longitudinal WR algorithm for a single transmission line and determine an optimal choice of parameters. We give numerical examples to show the drastically improved convergence behavior.
UR - http://www.scopus.com/inward/record.url?scp=50049108495&partnerID=8YFLogxK
U2 - 10.1109/EPEP.2006.321230
DO - 10.1109/EPEP.2006.321230
M3 - Conference contribution
AN - SCOPUS:50049108495
SN - 1424406684
SN - 9781424406685
T3 - Electrical Performance of Electronic Packaging, EPEP
SP - 207
EP - 210
BT - Electrical Performance of Electronic Packaging, EPEP
T2 - 14th Topical Meeting on Electrical Performance of Electronic Packaging, EPEP
Y2 - 23 October 2006 through 25 October 2006
ER -