ABSTRACT

This chapter cites some useful formulas and results, and discusses the notation used in this book. This chapter should, therefore, be either glanced through quickly or studied carefully depending on the reader's background. It derives the variational formulation for the equations under consideration with the assumption that the appropriate essential and natural boundary conditions are prescribed. Since this technique is at the very basis for the boundary element method, the author discusses the technique for the variational formulation. Fourier Theorem II implies that the smoother the function f is the faster its Fourier series converges. It should be noted that the Fourier series for two– and three–dimensional functions are similar to the analysis for one–dimensional functions.