ABSTRACT

This chapter covers techniques for analyzing numerical data, with emphasis on finite-element solutions on triangular meshes. It describes the first step for an interpolation, location of the element of an arbitrary mesh that contains a test point. Information is collected on the potential at neighboring vertices for the interpolation. On an arbitrary mesh one cannot be sure how many points will be available. For this situation least-squares interpolation methods are the best approach. They give accurate answers with flexibility on the number of input points. The chapter reviews the theory of least-squares fits and covers the application to electrostatic fields. It discusses techniques to display field information graphically. The chapter covers the analysis of meshes to create plots of elements and the boundaries of solution regions. It explains techniques to generate plots of field information. In addition to basic plots of potential and field amplitude contours, advanced techniques are introduced. These techniques include color-coded element plots and three-dimensional representations.