ABSTRACT

The finite element method (FEM) is a more powerful and versatile numerical technique for handling problems involving complex geometries and inhomogeneous media. The systematic generality of the method makes it possible to construct general-purpose computer programs for solving a wide range of problems. The process by which individual element coefficient matrices are assembled to obtain the global coefficient matrix is best illustrated with an example. One of the major difficulties encountered in the finite element analysis of continuum problems is the tedious and time-consuming effort required in data preparation. Efficient finite element programs must have node and element generating schemes, referred to collectively as mesh generators. In recent years, finite-element time-domain (FETD) algorithms have increased in popularity because of their ability to approximate physical boundaries. The finite-difference time-domain (FDTD) method is the method of choice when modeling geometries of low complexity, while FETD methods are most appropriate when complicated geometries need to be modeled.