Albert E. Ruehli, Hansruedi Heeb
IEEE T-MTT
Waveform relaxation (WR) has been widely used in circuit theory for the solution of large systems of ordinary differential equations, and the solution of partial differential equations. In the past, clever partitioning schemes have been used for circuit applications to enhance convergence. However, a drawback of the classical WR algorithm is the nonuniform convergence over the window in time for which the equations are integrated. We propose a new optimized WR algorithm which greatly accelerates the convergence by introducing new transmission conditions. These conditions are responsible for the exchange of information between the subcircuits. We use two RC circuit examples to illustrate the theory, as well as the improved convergence behavior.
Albert E. Ruehli, Hansruedi Heeb
IEEE T-MTT
Albert E. Ruehli, Werner Liniger, et al.
Numerical Functional Analysis and Optimization
Albert E. Ruehli, Ekkehard Miersch
APEMC 2008
Albert E. Ruehli, George Papadopoulos
EMC 1999