Inductorless Chua's circuit: experimental time series analysis.
Mathematical and numerical modelling of piezoelectric sensors
The present work aims at proposing a rigorous analysis of the mathematical and numerical modelling of ultrasonic piezoelectric sensors. This includes the well-posedness of the final model, the rigorous justification of the underlying approximation and the design and analysis of numerical methods. More precisely, we first justify mathematically the classical quasi-static approximation that reduces the electric unknowns to a scalar electric potential. We next justify the reduction of the computation...
Mathematical and numerical modelling of piezoelectric sensors
The present work aims at proposing a rigorous analysis of the mathematical and numerical modelling of ultrasonic piezoelectric sensors. This includes the well-posedness of the final model, the rigorous justification of the underlying approximation and the design and analysis of numerical methods. More precisely, we first justify mathematically the classical quasi-static approximation that reduces the electric unknowns to a scalar electric potential. We next justify the reduction of the computation...
Mathematical and numerical modelling of piezoelectric sensors
The present work aims at proposing a rigorous analysis of the mathematical and numerical modelling of ultrasonic piezoelectric sensors. This includes the well-posedness of the final model, the rigorous justification of the underlying approximation and the design and analysis of numerical methods. More precisely, we first justify mathematically the classical quasi-static approximation that reduces the electric unknowns to a scalar electric potential. We next justify the reduction of the computation...
Microwave assisted ignition to achieve combustion synthesis.
Nonlinear boundary value problems with application to semiconductor device equations
The paper deals with boundary value problems for systems of nonlinear elliptic equations in a relatively general form. Theorems based on monotone operator theory and concerning the existence of weak solutions of such a system, as well as the convergence of discretized problem solutions are presented. As an example, the approach is applied to the stationary Van Roosbroeck’s system, arising in semiconductor device modelling. A convergent algorithm suitable for solving sets of algebraic equations generated...
Numerical Analysis of the Weighted Particle Method Applied to the Semiconductor Boltzmann Equation.
On acceleration methods for coupled nonlinear elliptic systems.
On steady-state carrier distributions in semiconductor devices
The author proves the existence of solution of Van Roosbroeck's system of partial differential equations from the theory of semiconductors. His results generalize those of Mock, Gajewski and Seidman.
On uniqueness and stability of steady-state carrier distributions in semiconductors
Optimal scheduling of material handling devices in a PCB production line: problem formulation and a polynomial algorithm.
PDE-constrained optimization of time-dependent 3D electromagnetic induction heating by alternating voltages
This paper is concerned with a PDE-constrained optimization problem of induction heating, where the state equations consist of 3D time-dependent heat equations coupled with 3D time-harmonic eddy current equations. The control parameters are given by finite real numbers representing applied alternating voltages which enter the eddy current equations via impressed current. The optimization problem is to find optimal voltages so that, under certain constraints on the voltages and the temperature, a...
PDE-constrained optimization of time-dependent 3D electromagnetic induction heating by alternating voltages
This paper is concerned with a PDE-constrained optimization problem of induction heating, where the state equations consist of 3D time-dependent heat equations coupled with 3D time-harmonic eddy current equations. The control parameters are given by finite real numbers representing applied alternating voltages which enter the eddy current equations via impressed current. The optimization problem is to find optimal voltages so that, under certain constraints on the voltages and the temperature, a...
Příspěvek k theorii nástrojů zrcadelných
Quasilinear hyperbolic equations with hysteresis
Residual based a posteriori error estimators for eddy current computation
Residual based a posteriori error estimators for eddy current computation
We consider H(curl;Ω)-elliptic problems that have been discretized by means of Nédélec's edge elements on tetrahedral meshes. Such problems occur in the numerical computation of eddy currents. From the defect equation we derive localized expressions that can be used as a posteriori error estimators to control adaptive refinement. Under certain assumptions on material parameters and computational domains, we derive local lower bounds and a global upper bound for the total error measured in...
Solutions to Deconvolution Equations Using Nonperiodic Sampling.
Sur une méthode d'autocollimation directe des objectifs astronomiques et son application à la mesure des indices de réfraction; remarques sur l'emploi du sphéromètre
Teorie nového zapojení elektronkového oscilátoru