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In this paper, the authors apply the tree-cotree splitting (TCS) algorithm to the TDFEM to alleviate the constraint on the time-step size and to improve the convergence of iterative solutions at each time step. Compared with the conventional TDFEM, application of the TCS algorithm maintains the accuracy of the TDFEM solution but significantly reduces the number of iterations per time step for a preconditioned...
This paper describes a flexible time-stepping scheme for a recently developed hybrid field-circuit solver based on the extended time-domain finite element method (TDFEM) to alleviate the limitation on the use of a system-wide global time-step size. The proposed time-stepping scheme generalizes the strict synchronous coupling mechanism between the FEM and circuit subsystems and allows the signals in...
This paper presents an accurate and efficient algorithm to incorporate multiport lumped networks into a hybrid field-circuit solver based on the time-domain finite-element method (TDFEM). By casting its admittance matrix into the time-stepping equations, a lumped-network subsystem is formulated and then interfaced with the FEM subsystem through the FEM edges and the circuit subsystem through circuit...
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