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Computational micromagnetics has become an indispensable tool for the theoretical investigation of magnetic structures. Classical micromagnetics has been successfully applied to a wide range of applications including magnetic storage media,…

Computational Physics · Physics 2019-05-29 Claas Abert

Three-dimensional MEMS magnetometers with use of residual stresses in thin multilayers cantilevers are presented. Half-loop cantilevers based on Lorentz-force deflection convert magnetic flux in changes, thanks to piezoresistive transducers…

Other Computer Science · Computer Science 2008-02-22 M. El Ghorba , N. André , S. Sobieski , J. -P. Raskin

Encapsulation of chemicals using polymer membranes enables to control their transport and delivery for applications such as agrochemistry or detergency. To rationalize the design of polymer capsules, it is necessary to understand how the…

Soft Condensed Matter · Physics 2018-12-18 Corentin Tregouët , Thomas Salez , Mathilde Reyssat , Cécile Monteux

We deduce a 1D model of elastic planar rods starting from the F\"{o}ppl--von K\'{a}rm\'{a}n model of thin shells. Such model is enhanced by additional kinematical descriptors that keep explicit track of the compatibility condition requested…

Soft Condensed Matter · Physics 2021-03-17 Matteo Brunetti , Antonino Favata , Stefano Vidoli

Machine learning-based compact models provide a rapid and efficient approach for estimating device behavior across multiple input parameter variations. In this study, we introduce two reverse-design algorithms that utilize these compact…

Emerging Technologies · Computer Science 2025-08-29 Diego Ferrer , Jack Hutchins , Revanth Koduru , Sumeet Kumar Gupta , Admedullah Aziz

In this work, we utilize discrete geometric mechanics to derive a 2nd-order variational integrator so as to simulate rigid body dynamics. The developed integrator is to simulate the motion of a free rigid body and a quad-rotor. We…

Optimization and Control · Mathematics 2020-05-18 Mahmoud Abdelgalil , Asmaa Eldesoukey , Esraa Elshabrawy , Mostafa Abdalla

We consider a cantilever beam which possesses a possibly non-uniform permanent magnetization, and whose shape is controlled by an applied magnetic field. We model the beam as a plane elastic curve and we suppose that the magnetic field acts…

Analysis of PDEs · Mathematics 2023-11-09 Riccardo Durastanti , Lorenzo Giacomelli , Giuseppe Tomassetti

Inspired greatly by Mills et al. (2009) and the solution within, this paper aims to more clearly explain the mathematics and implementation details of such a powerful control algorithm. While the aforementioned paper is well written and of…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Mark P. Balenzuela

This paper presents the design, implementation, and flight test results of two novel 3D path-following guidance algorithms based on nonlinear model predictive control (MPC), with specific application to fixed-wing small uncrewed aircraft…

Robotics · Computer Science 2026-01-01 Camron Alexander Hirst , Chris Reale , Eric Frew

This paper describes the design process for developing a nonlinear model predictive controller for fault tolerant flight control. After examining and implementing a number of numerical techniques, this paper identifies pseudospectral…

Optimization and Control · Mathematics 2016-10-10 Rudaba Khan , Paul Williams , Paul Riseborough , Asha Rao , Robin Hill

Micro-scanners have been widely used in many optical applications. The micro-scanner presented in this paper uses multimorph-type bending actuators to tilt a square plate mirror. This paper presents a complete analytical model of the…

Other Computer Science · Computer Science 2008-02-22 A. Chaehoi , M. Begbie , D. Cornez , K. Kirk

Cutting planes are a key ingredient to successfully solve mixed-integer linear programs. For specific problems, their strength is often theoretically assessed by showing that they are facet-defining for the corresponding mixed-integer hull.…

Discrete Mathematics · Computer Science 2020-11-13 Matthias Walter

Verification of PCTL properties of MDPs with convex uncertainties has been investigated recently by Puggelli et al. However, model checking algorithms typically suffer from state space explosion. In this paper, we address probabilistic…

Formal Languages and Automata Theory · Computer Science 2014-04-11 Vahid Hashemi , Hassan Hatefi , Jan Krčál

Clinical use of finite element analysis requires validation and reproducibility studies. The current study compared two models of vertebral bodies including endplates, on the same experimental dataset and evaluated the influence of the…

Numerical Analysis · Mathematics 2024-02-15 V. Allard , C. Heidsieck , F. Bermond , C. Confavreux , C. Travert , L. Gajny , 3 , W. Skalli , D. Mitton , H. Follet

We prove metric rigidity for complete manifolds supporting solutions of certain second order differential systems, thus extending classical works on a characterization of space-forms. In the route, we also discover new characterizations of…

Differential Geometry · Mathematics 2009-03-06 Stefano Pigola , Michele Rimoldi

This paper presents a model for quasi two-dimensional MHD flows between two planes with small magnetic Reynolds number and constant transverse magnetic field orthogonal to the planes. A method is presented that allows to take 3D effects…

Fluid Dynamics · Physics 2020-06-30 Alban Pothérat , Joël Sommeria , René Moreau

Properties of typical MEMS materials have been widely investigated. Mechanical properties of MEMS structures depend not only on the bulk material properties, but also structural factors. A measurement system has been made to measure…

Other Computer Science · Computer Science 2008-12-18 Kai Axel Hals , Einar Halvorsen , Xuyuan Chen

The torsional vibration of atomic force microscope (AFM) cantilevers is critical for high-sensitivity measurements, yet existing models for width-varying cantilevers often rely on approximations that lead to significant discrepancies with…

Applied Physics · Physics 2025-11-25 Le Tri Dat , Nguyen Duy Vy

This study is focused on the mechanical characterization of materials used in microelectronic and micro- electromechanical systems (MEMS) devices. In order to determine their mechanical parameters, a new deformation bench test with suitable…

Other Computer Science · Computer Science 2008-12-18 C. Seguineau , M. Ignat , C. Malhaire , S. Brida , X. Lafontan , J. -M. Desmarres , C. Josserond , L. Debove

In-operando techniques enable real-time measurement of intricate physical properties at the micro- and nano-scale under external stimuli, allowing the study of a wide range of materials and functionalities. In nanomagnetism, in-operando…