Finite element methods for design of electromagnetic devices

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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: