Abstract When solving the wave equation with finite elements, mass lumping allows for explicit time stepping, avoiding cost of a lower-upper decomposition large sparse matrix. Mass on reference element amounts to numerical quadrature. The weights should be positive stable stepping and preserve accuracy. standard triangular polynomial except linear element, do not have these properties. Accuracy...

We investigate methods for modelling metabolism within populations of cells. Typically one represents the interaction of a cloned population of cells with their environment as though it were one large cell. The question is as to whether any dynamics are lost by this assumption, and as to whether it might be more appropriate to instead model each cell individually. We show that it is sufficient ...

Background and Objective: Cerebral Arteriovenous Malformation (CAVM) hemodynamic is disease condition, results changes in the flow and pressure level in cerebral blood vessels. Measuring flow and pressure without catheter intervention along the vessel is big challenge due to vessel bifurcations/complex bifurcations in Arteriovenous Malformation patients. The vessel geometry in CAVM patients are...

Connecting lumped circuit elements in a conventional circuit is usually accomplished by conducting wires that act as conduits for the conduction currents with negligible potential drops. More challenging, however, is to extend these concepts to optical nanocircuit elements. Here, following our recent development of optical lumped circuit elements, we show how a special class of nanowaveguides f...

An impedance-transforming lumped-element (LE) two-branch 90 coupler is discussed in this paper. The LE coupler discussed here can be derived from a branch-line coupler consisting of one-quarter or three-quarters wavelength transmission-lines (that is, case of type C) and classified into five groups. Normally, the LE coupler needs 8 circuit elements. However, the existence of reduced LE couplers...

A new approach for time-domain analysis and design of lumped networks is considered. The lumped elements are modeled by transmission-line sections or stubs and the modeled network is analysed by the transmission-line matrix (TLM) method, which provides an exact solution to the model. Compensafion of errors arising in modeling the network elements is discussed. Sensitivities w.r.t. design variab...

This paper presents a new approach to identify distributed parameters of a lumped-element model for a power transformer. A simplified circuit of a lumped-element model is developed to calculate frequency responses of transformer windings in a wide range of frequency domain. In order to seek optimal parameters of the simplified circuit of the transformer, an intelligent learning technique, based...