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Theoretically, the electric field becomes infinite at corners of two and three dimensions and edges of three dimensions. Conventional finite-element and boundary element methods do not yield satisfactory results at close proximity to these…

Computational Physics · Physics 2011-10-26 N. Majumdar , S. Mukhopadhyay

The electrostatic modeling of conductors is a fundamental challenge in various applications, including the prediction of parasitic effects in electrical interconnects, the design of biasing networks, and the modeling of biological,…

Computational Engineering, Finance, and Science · Computer Science 2023-05-17 Shashwat Sharma , Piero Triverio

A new generation of microfabricated MEMS for electron optics is changing electron microscopy for the better. These devices allow operations on the electron beam that are impossible with conventional electron optics. Unprecedented phase…

The previously reported neBEM solver has been used to solve electrostatic problems having three-dimensional edges and corners in the physical domain. Both rectangular and triangular elements have been used to discretize the geometries under…

Computational Physics · Physics 2008-05-13 Supratik Mukhopadhyay , Nayana Majumdar

Microelectromechanical systems (MEMS) technologies are developing rapidly with increasing study of the design, fabrication and commercialization of microscale systems and devices. Accurate knowledge on the mechanical behaviors of thin film…

Other Computer Science · Computer Science 2008-02-22 Ming-Tzer Lin , K. -S. Shiu , Chi-Jia Tong

High-fidelity numerical methods that model the physical layout of a device are essential for the design of many technologies. For methods that characterize electromagnetic effects, these numerical methods are referred to as computational…

Understanding microstructural evolution under extreme thermal conditions is essential for advancing metal additive manufacturing (AM). This work demonstrates the feasibility of employing micro-electro-mechanical system (MEMS) heating…

Materials Science · Physics 2026-01-12 C. Koenig , P. Mayr , J. R. Jinschek , A. Bastos Fanta

In the present thesis, a computational framework for the analysis of the deformation and damage phenomena occurring at the micro-scale of polycrystalline materials is presented. Micro-mechanics studies are commonly performed using the…

Computational Engineering, Finance, and Science · Computer Science 2018-02-08 Vincenzo Gulizzi

Recent trends of ab initio studies and progress in methodologies for electronic structure calculations of strongly correlated electron systems are discussed. The interest for developing efficient methods is motivated by recent discoveries…

Strongly Correlated Electrons · Physics 2010-12-06 Masatoshi Imada , Takashi Miyake

The dynamics of a free boundary problem for electrostatically actuated microelectromechanical systems (MEMS) is investigated. The model couples the electric potential to the deformation of the membrane, the deflection of the membrane being…

Analysis of PDEs · Mathematics 2013-02-26 Joachim Escher , Philippe Laurencot , Christoph Walker

We present simulations of the dynamic and temperature dependent behavior of Micro-Electro-Mechanical Systems (MEMS) by utilizing recently developed parallel codes which enable a coupling of length scales. The novel techniques used in this…

Materials Science · Physics 2015-06-25 Robert E. Rudd , Jeremy Q. Broughton

Magnetostatic field calculations in micromagnetic simulations can be numerically expensive, particularly in the case of large-scale finite element simulations. The established finite element / boundary element method (FEM/BEM) by Fredkin &…

Numerical Analysis · Mathematics 2019-03-27 Riccardo Hertel , Sven Christophersen , Steffen Börm

A novel multi-scale finite element formulation for contact mechanics between nominally smooth but microscopically rough surfaces is herein proposed. The approach integrates the interface finite element method (FEM) for modelling interface…

Computational Engineering, Finance, and Science · Computer Science 2025-04-03 Jacopo Bonari , Maria R. Marulli , Nora Hagmeyer , Matthias Mayr , Alexander Popp , Marco Paggi

A model for a MEMS device, consisting of a fixed bottom plate and an elastic plate, is studied. It was derived in a previous work as a reinforced limit when the thickness of the insulating layer covering the bottom plate tends to zero. This…

Analysis of PDEs · Mathematics 2020-04-01 Philippe Laurençot , Katerina Nik , Christoph Walker

This Paper deals design and simulation of electrostatically actuated clamped clamped beam and cantilever beam using finite element analysis method (FEM). A detailed study and performance analysis for various bias voltages is provided in…

Computational Physics · Physics 2010-02-12 D. Mohana Geetha , M. Madheswaran

In situ electron microscopy is a key tool for understanding the mechanisms driving novel phenomena in 2D structures. Unfortunately, due to various practical challenges, technologically relevant 2D heterostructures prove challenging to…

Micro-Electro Mechanical Systems (MEMS) are defined as very small structures that combine electrical and mechanical components on a common substrate. Here, the electrostatic-elastic case is considered, where an elastic membrane is allowed…

Dynamical Systems · Mathematics 2026-04-10 Annalisa Iuorio , Nikola Popovic , Peter Szmolyan

We have designed and characterized micro-electro-mechanical systems (MEMS) for applications at low temperatures. The mechanical resonators were fabricated using a surface micromachining process. The devices consist of a pair of parallel…

Mesoscale and Nanoscale Physics · Physics 2013-01-24 M. Gonzalez , P. Zheng , E. Garcell , Y. Lee , H. B. Chan

The evolution problem for a membrane based model of an electrostatically actuated microelectromechanical system (MEMS) is studied. The model describes the dynamics of the membrane displacement and the electric potential. The latter is a…

Analysis of PDEs · Mathematics 2012-11-27 Joachim Escher , Philippe Laurencot , Christoph Walker

The accurate electromagnetic modeling of both low- and high-frequency physics is crucial in the signal and power integrity analysis of electrical interconnects. The boundary element method (BEM) is appealing for lossy conductor modeling…

Computational Engineering, Finance, and Science · Computer Science 2022-08-31 Shashwat Sharma , Piero Triverio