We studied a sharp interface model issuing from a seawater intrusion problem in a confined aquifer. This model consists in a coupled system of an elliptic and a de-generate parabolic equation. The global in time existence is obtained in using Schauder theorem combined with parabolic...

In industrial applications of process control, we can find a very large variety of supervision structures including diagnosis and prognosis techniques. Here, we are concerned with the problem of reconfigurable control systems that possess the ability to accommodate failures. After some general...

Two new methods to identify the mechanical parameters in induction motor based field oriented drives are presented in this paper. The identified parameters are: the moment of inertia and the viscous damping coefficient. The proposed methods are based on the adaptive linear neuron (ADALINE)...

The paper is concerned with a posteriori error estimates needed for the adaptive construction of a space grid in solving an initial-boundary value one-dimensional problem for a nonlinear parabolic partial differential equation by the method of lines. A posteriori error indicators are introduced...

Piezoelectric ultrasonic motors are superior to electromagnetic micro motors, because their efficiency remains theoretically constant during miniaturization. However, the still relatively recent technology has a considerable unexploited optimisation potential. Numerical structural analysis by...

Excessive temperatures in cable bundles integrated in cars can cause harms to connecting structures and essential components. To avoid hotspot generation already at the production of cable harnesses, reliable predictions of temperatures in cables under load are necessary. Two approaches for...

We describe a finite element numerical approach to the full Hartree-Fock-Bogoliubov treatment of a vortex lattice in a rapidly rotating Bose–Einstein condensate. We study the system in the regime of high thermal or significant quantum fluctuations where we are presented with a very large...

In this paper we present a finite element approximation of a model of a linear stochastic partial differential equation driven by additive and multiplicative white noises. Using the Wick-product properties and the Wiener–Itô chaos expansion, the stochastic variational problem is reformulated...

We propose a finite element approximation for an evolution model describing the spatial population distribution of two salt tolerant plant species, such as mangroves, which are affected by inter- and intra-specific competition (Lotka–Volterra), population pressure (cross-diffusion) and...

The paper presents a simple but efficient new numerical scheme for the integration of nonlinear constitutive equations. Although it can be used for the integration of a system of algebraic and differential equations in general, the scheme is primarily developed for use with the direct solution...