Gaudiello, Antonio

Homogenization of a nonlinear monotone problem with nonlinear signorini boundary conditions in a domain with highly rough boundary by Antonio Gaudiello( Book )

2 editions published in 2018 in English and held by 6 WorldCat member libraries worldwide

Junction of ferromagnetic thin films by Antonio Gaudiello( )

1 edition published in 2010 in English and held by 2 WorldCat member libraries worldwide

A reduced model for the polarization in a ferroelectric thin wire by Antonio Gaudiello( )

1 edition published in 2015 in English and held by 2 WorldCat member libraries worldwide

Homogenization of the Brush Problem with a Source Term in L 1 by Antonio Gaudiello( )

1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide

Homogenization of an evolution problem with $$ L\log L$$ L log L data in a domain with oscillating boundary by Antonio Gaudiello( )

1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide

Modélisation asymptotique d'un réseau de micro-miroirs et design de logiciel pour les modèles multi-échelles dérivés automatiquement by Nguyen-Nhat-Binh Trinh( )

2 editions published in 2021 in English and held by 2 WorldCat member libraries worldwide

This Ph.D. thesis is in the context of the development of mathematical tools for software which aim is to automatically derive asymptotic models of MEMS Arrays using a symbolic computation and a reuse concept. The contribution covers three aspects: asymptotic modeling, numerical simulations, and software design. The derivation of asymptotic models for the coupled electromechanical problem in the micro-mirror array MIRA is achieved by employing the two-scale transformation method. With the goal to capture a larger family of asymptotic models, we consider the case where the array is actuated by two different voltages in two zones. As a result, the model includes periodic sub-models and boundary corrector sub-models for the lateral boundary, interfaces, inner edges and outer edges. With these models, the simulation of the network is feasible despite its large size. Numerical simulations of the electrostatic part are implemented in finite element software. In addition, the system design is optimized to minimize pull-in voltage. In terms of software design, new forms of data structure and rewriting strategies are designed using abstract syntax trees. This leads on the one hand to the standardization of the data structure and to make it more flexible and on the other hand to make the strategies more general which allows to decrease their number and thus the complexity of the software. The data structure is constructed with a recursive form that broadens the capability of description of families of asymptotic models. Finally, a concurrent system made with the rewriting system and a description logic framework is investigated. This is the first step in building an efficient knowledge representation in software for asymptotic model building

Asymptotic analysis of a class of minimization problems in a thin multidomain by Antonio Gaudiello( )

1 edition published in 2002 in English and held by 2 WorldCat member libraries worldwide

Sur une classe de problèmes elliptiques quasilinéaires avec conditions de Robin non linéaires et données L1 : existence et homogénéisation by Alip Oropeza( Book )

1 edition published in 2016 in English and held by 1 WorldCat member library worldwide

Contribution to a kernel of symbolic asymptotic modeling software. by Bin Yang( Book )

1 edition published in 2014 in English and held by 1 WorldCat member library worldwide

This thesis is dedicated to develop a kernel of a symbolic asymptotic modeling software package MEMSALab which will be used for automatic generation of asymptotic models for arrays of micro and nanosystems. Unlike traditional software packages aimed at numerical simulations by using pre-builtmodels, the purpose of MEMSALab is to derive asymptotic models for input equations by taking into account their own features. An approach called ”by extension-combination” for the asymptotic modeling which allows an incremental model construction is firstly proposed for the homogenization model derivation. It relies on a combination of the asymptotic method used in the field of partial differential equations with term rewriting techniques coming from computer science. This approach focuses on the model derivation for family of PDEs instead of each of them. An homogenization model of the electrothermo elastic equation defined in a multi-layered thin domain has been derived by applying the mathematical method used in this approach. At last, an optimization tool has been developed by combining a house-made optimization software package SIMBAD and COMSOL-MATLAB simulation and it has been applied for optimization of a SThM probe