Lecture Notes: The Galerkin Method
Analysis of PDEs
2011-12-07 v1 Functional Analysis
Numerical Analysis
Abstract
These lecture notes introduce the Galerkin method to approximate solutions to partial differential and integral equations. We begin with some analysis background to introduce this method in a Hilbert Space setting, and subsequently illustrate some computational examples with the help of a sample matlab code. Finally, we use the Galerkin method to prove the existence of solutions of a nonlinear boundary value problem.
Cite
@article{arxiv.1112.1176,
title = {Lecture Notes: The Galerkin Method},
author = {Raghavendra Venkatraman},
journal= {arXiv preprint arXiv:1112.1176},
year = {2011}
}