Operators

  Now that we have set up the basic geometric properties of the elements, and how to represent functions on them the next step is to show how their data can be manipulated economically. In this chapter we develop a method for efficiently implementing the family of hybrid elements on a computer. Specifically we present an efficient method for evaluating surface integrals on the elements. Also we examine the approximation and wave propagation properties of these elements experimentally. Finally, we provide a simple algorithm for minimizing the bandwidth of the matrices that result from the construction of discrete linear operators for a domain.