An Approximation Scheme for an Eikonal Equation with Discontinuous Coefficient

On Hill’s Equation with a Discontinuous Coefficient

where q(x) and r(x) are real valued and all have period a. Also q(x) is piecewise continuous, r ′′(x) is piecewise continuous in (0,b) and (b,a) where 0< b < a and r(x)≥ r0 (> 0). Those values of complex parameter λ, for which periodic or antiperiodic problem associated with (1.1) and the x-interval (0,a) has a nontrivial solution y(x,λ), are called eigenvalues. An equation giving the eigenvalu...

A relaxation scheme for conservation laws with a discontinuous coefficient

We study a relaxation scheme of the Jin and Xin type for conservation laws with a flux function that depends discontinuously on the spatial location through a coefficient k(x). If k ∈ BV , we show that the relaxation scheme produces a sequence of approximate solutions that converge to a weak solution. The Murat-Tartar compensated compactness method is used to establish convergence. We present n...

An inverse problem for Schrödinger equations with discontinuous main coefficient

development and implementation of an optimized control strategy for induction machine in an electric vehicle

in the area of automotive engineering there is a tendency to more electrification of power train. in this work control of an induction machine for the application of electric vehicle is investigated. through the changing operating point of the machine, adapting the rotor magnetization current seems to be useful to increase the machines efficiency. in the literature there are many approaches wh...

A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients

This paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. The method is based on a standard discretization of the problem on smooth regions and a nonstandard method for nonsmooth regions. The construction of the nonstandard method is based on the special treatment of the interface using suitable jump conditio...