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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

Microelectromechanical systems (MEMS) resonators serve as frequency selective components in applications ranging from biology to communications. In this paper, the dynamic behavior of an RF MEMS disk resonator is formulated using an…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Hamid T. Chorsi , Meysam T. Chorsi , Stephen D. Gedney

In fractured natural formations, the equations governing fluid flow and geomechanics are strongly coupled. Hydrodynamical properties depend on the mechanical configuration, and they are therefore difficult to accurately resolve using…

Numerical Analysis · Mathematics 2021-04-07 Matteo Cusini , Joshua A. White , Nicola Castelletto , Randolph R. Settgast

Magneto-active elastomers (MAEs) are polymer composites consisting of magnetic microparticles embedded in an elastomeric matrix. These materials exhibit strong magneto-mechanical coupling under external magnetic fields, resulting in tunable…

Soft Condensed Matter · Physics 2026-04-21 Pawan Patel , Dirk Romeis , Marina Saphiannikova

Approximated numerical techniques, for the solution of the elastic wave scattering problem over semi-infinite domains are reviewed. The approximations involve the representation of the half-space by a boundary condition described in terms…

Computational Engineering, Finance, and Science · Computer Science 2014-10-14 Nicolás Guarín-Zapata , Juan Gómez , Juan Jaramillo

Microelectromechanical systems (MEMS) gyroscopes are widely used, e.g. in modern automotive and consumer applications, and require signal stability and accuracy in rather harsh environmental conditions. In many use cases, device reliability…

Mesoscale and Nanoscale Physics · Physics 2024-01-29 Daniel Schiwietz , Eva M. Weig , Peter Degenfeld-Schonburg

In electromagnetic analysis, the finite element and boundary element methods jointly known as 'FEM-BEM coupling' is applied for numerically solving levitation problem based on eddy current. The main focus behind this coupled analysis method…

Numerical Analysis · Mathematics 2021-08-24 Sayan Sarkar , Amit Jena , Mashuq un Nabi

We explore the recently-proposed Virtual Element Method (VEM) for numerical solution of boundary value problems on arbitrary polyhedral meshes. More specifically, we focus on the elasticity equations in three-dimensions and elaborate upon…

Numerical Analysis · Mathematics 2015-07-22 Arun L. Gain , Cameron Talischi , Glaucio H. Paulino

Extensive research papers of three-dimensional computational techniques are widely used for the investigation of human brain pathophysiology. Eddy current analyzing could provide an indication of conductivity change within a biological…

Medical Physics · Physics 2019-06-05 Wuliang Yin , Mingyang Lu , Jiawei Tang , Qian Zhao , Zhijie Zhang , Kai Li , Yan Han , Anthony Peyton

In this article we propose and numerically implement a mathematical model for the simulation of three-dimensional semiconductor devices characterized by an heterogeneous material structure. The model consists of a system of nonlinearly…

Numerical Analysis · Mathematics 2013-07-12 A. Mauri , R. Sacco , M. Verri

Two-dimensional (2D) electronic materials are of significant technological interest due to their exceptional properties and broad applicability in engineering. The transition from nanoscale physics, that dictates their stable…

Analysis of PDEs · Mathematics 2025-09-23 Shoham Sen , Yang Wang , Timothy Breitzman , Kaushik Dayal

Dielectric structures composed of many inclusions that manipulate light in ways the bulk materials cannot are commonly seen in the field of metamaterials. In these structures, each inclusion depends on a set of parameters such as location…

Computational Physics · Physics 2019-03-05 Boaz Blankrot , Clemens Heitzinger

Rigorous computer simulations of propagating electromagnetic fields have become an important tool for optical metrology and optics design of nanostructured components. As has been shown in previous benchmarks some of the presently used…

The presence of corners in the computational domain, in general, reduces the regularity of solutions of parabolic problems and diminishes the convergence properties of the finite element approximation introducing a so-called "pollution…

Numerical Analysis · Mathematics 2019-03-19 Piotr Swierczynski , Barbara Wohlmuth

As optical telecommunication networks become more complex, there is an emerging need for systems capable of very complex switching and manipulation of large numbers of optical signals. MEMS enable these systems by combining excellent…

We have applied the Finite Element Method to the self-consistent electronic structure calculations of molecules and solids for the first time. In this approach all the calculations are performed in "real space" and the use of non-uniform…

mtrl-th · Physics 2009-10-28 Eiji Tsuchida , Masaru Tsukada

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

A stationary free boundary problem modeling a three-dimensional electrostatic MEMS device is investigated. The device is made of a rigid ground plate and an elastic top plate which is hinged at its boundary, the plates being held at…

Analysis of PDEs · Mathematics 2021-03-12 Katerina Nik

The scanning electron microscopy (SEM) is probably one the most fascinating examination approach that has been used since more than two decades to detailed inspection of micro scale objects. Most of the scanning electron microscopes could…

Computer Vision and Pattern Recognition · Computer Science 2016-02-18 Wichai Shanklin

Immersed boundary methods have attracted substantial interest in the last decades due to their potential for computations involving complex geometries. Often these cannot be efficiently discretized using boundary-fitted finite elements.…

Computational Engineering, Finance, and Science · Computer Science 2026-01-13 Tim Bürchner , Lars Radtke , Philipp Kopp , Stefan Kollmannsberger , Ernst Rank , Alexander Düster
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