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A Reduced-order Model for Electrically Actuated Microplates
We present a reduced-order model for electrically actuated microplate-based MEMS. The model accounts for the electric force nonlinearity and the mid-plane stretching of the plate. The linear undampedExpand
Local analysis of co-dimension-one and co-dimension-two grazing bifurcations in impact microactuators
Impact microactuators rely on repeated collisions to generate gross displacements of a microelectromechanical machine element without the need for large applied forces. Their design and control relyExpand
Modeling and simulation methodology for impact microactuators
Micro or nano distance manipulations are of prime importance in the MEMS industry. Microdevices are ideal for micropositioning systems due to their small size. Microactuators used to produce smallExpand
Linear Regularity and Linear Convergence of Projection-Based Methods for Solving Convex Feasibility Problems
For a finite/infinite family of closed convex sets with nonempty intersection in Hilbert space, we consider the (bounded) linear regularity property and the linear convergence property of theExpand
Asymptotic approximation of an ionic model for cardiac restitution
Cardiac restitution has been described both in terms of ionic models – systems of ODE's – and in terms of mapping models. While the former provide a more fundamental description, the latter are moreExpand
Near-grazing Dynamics in Tapping-mode Atomic-force Microscopy
Abstract In tapping-mode atomic-force microscopy, non-linear effects due to large variations in the force field on the probe tip over very small length scales and the intermittency of contact mayExpand
Optimal Control for the Convective Cahn–Hilliard Equation in 2D Case
In this paper, for 2D convective Cahn–Hilliard equation, the optimal control problem is considered, the existence of optimal solution is proved and the optimality system is established.
Optimal control problem for viscous Cahn–Hilliard equation
Abstract This paper is concerned with the viscous Cahn–Hilliard equation, which arises in the dynamics of viscous first order phase transitions in cooling binary solutions. The optimal control underExpand
Finite element analysis of a nonlinear parabolic equation modeling epitaxial thin-film growth
In this paper, we consider a nonlinear model describing crystal surface growth. For the equation, the finite element method is presented and a nice error estimate is derived in the L2 norm by meansExpand