This book gives an introduction to functional analysis in a way that is tailored to fit the needs of the researcher or student. The book explains the basic results of functional analysis as well as relevant topics in numerical analysis. Applications of functional analysis are given by considering numerical methods for solving partial differential equations and integral equations. The material is especially useful for researchers and students who wish to work in theoretical numerical analysis and seek a background in the qtools of the tradeq covered in this book.9.2 Basics of the finite element method We have seen from the one-dimensional examples in the preceding section that ... is we will mostly use triangular elements, for any triangle is affine equivalent to a fixed triangle (the reference triangle).
|Title||:||Theoretical Numerical Analysis|
|Author||:||Kendall Atkinson, Weimin Han|
|Publisher||:||Springer Science & Business Media - 2006-04-18|