A New Class of Stabilized Methods for Multiscale Problems in Computational Solid Mechanics

计算固体力学中多尺度问题的一类新的稳定化方法材料力学中的许多问题涉及多个空间和时间尺度的操作。尺度问题在微机电系统（MEMS）中变得复杂。MEMS中机械和电子元件小型化的工程实践的总体趋势突出了对可以成功解决这个问题的计算技术的需求。本文提出的研究目的是发展一种新的多尺度方法，用于半导体材料中耦合电磁场的建模和分析。该计划的教育活动包括开发MEMS中微机械问题的课程和多尺度有限元方法的新课程。

A New Class of Stabilized Methods for MultiscaleProblems in Computational Solid MechanicsMany problems in mechanics of materials involve operation of multiple spatial and temporal scales. The issue of scales gets compounded in micro-electro-mechanical systems (MEMS). A general trend in engineering practice toward miniaturization of mechanical and electronic components in MEMS highlights the need for computational techniques that can successfully address this issue. The research being proposed here is aimed at developing a new class of multiple scale methods for the modeling and analysis of coupled electro-magnetic fields in semiconductor materials. Educational activities in this program include the development of curriculum on micro-mechanical issues in MEMS and a new course on multi-scale finite element method.