... on the refined mesh, at lower computational costs and at about the same memory requirements. Originality/value The paper can proof mathematically and demonstrate in practice, that a higher order of convergence is achieved by using piecewise linear, globally discontinuous basis functions instead of piecewise...

... the method works in practice. Electronics Estimation Mathematical methods Mathematics Thanks are due to the Mathematical Institute of the Polish Academy of Sciences, the Institute of Mathematics of the Pedagogical University of Kielce and the Circuit Theory Division of the Technical University...

...P. Degond; Y. Qiu Presents a simplified mathematical model of electron transport in a one‐dimensional semiconductor device of N+ ‐ N ‐ N + type. The model is based on a singular perturbation approach of the kinetic equation which describes the transport processes. This so...

... of point sources approximating the multiline distributions. The range of validity of the low‐frequency expansion is estimated by comparing with results obtained using the T‐matrix method. © MCB UP Limited 1997 Electrical engineering Mathematics Methods Theory The theory...

... Point λ_* is a root of the equation: (6) Circuits Electrical engineering Mathematics Modelling Optimization One of the principal problems concerning the quality of electrical energy is to obtain a given power flux from a supply system to a receiver, while keeping...

..., sufficient conditions for global stability of the zero solution of the systems considered are found. © MCB UP Limited 1997 Mathematics Numerical stability Differential difference equations In recent years the impulsive differential equations have been an object of numerous investigations...

... machine. The results obtained from calculation, in the case of classical tests, are compared with experimental ones and discussed. © MCB UP Limited 1996 Mathematics Modelling Leakage permeances are the most difficult to obtain, especially for this kind of machine with closed rotor...

... as a basic tool for a deeper understanding of the whole question of spurious modes. © MCB UP Limited 1996 Electronics Mathematics Methods The problem of finding the resonant modes of a cavity or the propagating modes of a waveguide is one of the most addressed problems in the microwave...

... by matching the inner and the outer fields on the spherical interface. © MCB UP Limited 1996 Electronics Mathematics Methods The use of finite elements for solving electromagnetic radiation in open boundary problems requires a truncation of the infinite space with an artificial boundary...

...Andrzej Demenko; Lech Nowak Presents a method for the finite element (FE) analysis of saturation effects in a squirrel‐ cage electrical machine. The proposed mathematical model includes the FE equations of the electromagnetic field, the equations which define the connection of windings...

... for the direct method, and for quadratic elements, three times faster. © MCB UP Limited 1996 Electricity Mathematics Models Theory substituting Φ back into equation (3) gives It can be seen that equation (5) represents the capacitive energy in the system, and the capacitance matrix...

... to choose these initial solutions in view of physics, since they satisfy the equations (14) to (17) of the hydrodynamic model, and numerical results show it is a better choice. © MCB UP Limited 1996 Mathematics Models Semiconductors Yves Perréal Laboratoire Central de Recherches...

... Dirichlet condition on B_F is computed by means of equation (4). By virtue of equations (6) and (10) the error on this new boundary condition is given by: where the kernel is: © MCB UP Limited 1996 Electricity Mathematics Semiconductors Theory The search...

... strongly and, a weak solution of e = ‐ grad φ is obtained. © MCB UP Limited 1996 Mathematics Models Semiconductors For quantum devices, the Schrödinger and Poisson equations are often solved using the finite difference method[ 1 , 2 ]. The aim of this paper is to present...

... and S₁₁. More precisely, the optimum noise source reflection coefficient behaves much like the parameter S₁₁* , complex conjugate of S₁₁. Sample results of this typical performance are reported in [ 5 ]. © MCB UP Limited 1996 Electricity Mathematics...