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This paper describes an explicit leapfrog scheme that is stabilized for an arbitrary time step size in the fast transient simulation of a power delivery network (PDN). A time step size used in a basic explicit leapfrog scheme becomes too small if there exist extremely-small reactances in a circuit. Because such small reactances are usually extracted from small meshes, the basic leapfrog scheme is...
In a conventional finite-difference time-domain (FDTD) method, the computational cost increases as a grid spacing decreases because the number of unknowns increases and a time step size decreases to fulfill a numerical stability condition. Especially, it is inherently time-consuming to analyze thin structures such as a printed circuit board (PCB) and nonorthogonally aligned objects such as interconnection...
This paper describes an explicit and locally stabilized transient analysis method for fast simulation of inhomogeneously-meshed conductor planes. An existing explicit leapfrog scheme has a strict numerical stability condition by which a time step size is forced to be small if there exists small reactances in the circuit. Such small reactances are extracted from the small meshes, which are locally...
This paper describes a fast finite-element time-domain (FETD) method using the iterative leapfrog mixed (ILM)-FETD method. To circumvent a time step size limitation of an existing leapfrog mixed (LM)-FETD method, which adopts a mixed E-B finite element formulation and a leapfrog scheme, we introduce an iterative procedure of the leapfrog scheme. Because iterative solutions of the ILM-FETD method converge...
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