Efficient Numerical and Analytical Finite Element Analysis in Electromagnetics

有限元分析广泛应用于各种电机和设备的电磁场计算机模拟。虽然在过去二十年中取得了重大进展，但仍然存在相当大的计算困难。对于复杂的工程电磁问题，三维有限元网格通常有数十万个或更多的单元，计算时间可能非常高。该方案的实施将大大提高电磁有限元分析的速度。这将通过实施和使用多级预调节器来实现。采用全自适应多网格算法可显著提高计算精度。将探讨所提出的方法在磁记录问题上的应用。特别是，磁带多粒子系统的高效有限元模拟应该成为可能。最终目标是使有限元建模更加准确、快速和实用的工程电磁问题。这将有助于对电机、磁带和记录磁头的分析，并将对无损检测、优化、计算机辅助设计、快速原型制作和其他领域产生重要影响。

Efficient Multilevel Methods for Electromagnetic Finite Element Analysis Finite Element (FE) analysis is very widely used for computer simulation of electromagnetic fields in various electric machines and devices. Although significant progress has been achieved over the last two decades, considerable computational difficulties remain. For complex engineering electromagnetic problems, three dimensional FE meshes often have hundreds of thousands of elements or more and the computational time may be prohibitively high. As a result of the proposed project, the speed of electromagnetic FE analysis will be increased substantially. This will be achieved by implementing and employing Multilvel Preconditioners. The computational accuracy will be significantly improved by using the Fully Adaptive Multigrid algorithm. Applications of the proposed methodology to magnetic recording problems will be explored. In particular, efficient FE simulation of multiparticle systems typical for magnetic tapes should become possible. The ultimate goal is to make FE modeling considerably more accurate, fast and practical for engineering electromagnetic problems. This will facilitate analysis of electric machines, magnetic tapes and recording heads, and will have important implications for nondestructive testing, optimization, computer aided design, rapid prototyping, and in other areas.