Finite element methods for design of electromagnetic devices

虽然所有的电气设备都可以被认为是电磁性质的，因为它们内部和周围都有电磁场，但有一类重要的设备只能通过了解电磁场的行为来正确理解。这些是本提案标题中提到的"电磁装置"。它们包括电信系统中使用的各种微波和光学元件。长期以来，设计师们一直使用计算机来模拟磁场，从而预测其设计的性能。然而，工程师想要分析的许多问题甚至突破了当今计算机的极限。设备变得越来越复杂，精度要求越来越高。因此，继续研究更好的模拟方法。该提案侧重于一种技术，即有限元法，并特别旨在推进三个领域的技术水平：

While all electrical devices can be considered to be electromagnetic in nature, in that they have within and around them an electromagnetic field, there is an important class of devices which can only be understood properly by knowing how the electromagnetic fields behave. These are the "electromagnetic devices" referred to in the title of this proposal. They include a wide range of microwave and optical components used in telecommunication systems. Designers have long used computers to simulate the fields and thereby to predict the performance of their designs. However, many of the problems that engineers want to analyze push the limits of even today's computers. Devices are becoming more complex and accuracy requirements greater. For this reason, there continues to be research on better simulation methods. This proposal focusses on one technique, the finite element method, and specifically aims to advance the state of the art in three areas: