LEAST-SQUARE FINITE-ELEMENT METHOD FOR ELECTROMAGNETIC-FIELDS IN 2-D

A least-squares finite element approximation scheme for electromagneti c fields in two-dimensional domains is discussed. Considering the magn etic-field strength H and the vector of the current density J as unkno wns, we describe Maxwell's equation as a time-dependent form in three dimensions, then reduce it into two-dimensional steady problems of two categories. Based on the first-order system of partial differential e quations, the least-squares method is applied to the finite-element me thod. The rates of convergence for both H and J achieve optimal order. This method creates an easy way to develop computer software.