The Finite Element Method is widely used as a simulation tool in engineering design. In Electrical Engineering, it has been used for many years to compute the electromagnetic field in and around many different devices, from rotating machines to microwave and optical components. Knowing the field makes it possible to predict how the device will behave when it is built. An overview of the Finite Element Method will be presented, with an emphasis on how it has been applied in electromagnetics. Despite its great power, one of the drawbacks of the method is that it provides only approximate solutions. Worse, the accuracy that is obtained is strongly dependent on the way the method is used. This talk examines traditional approaches to controlling and assessing accuracy with Finite Element software, and argues that it is time to explore more sophisticated techniques. . A theory based on this flow is able to predict the motion of the bubble pairs.