NUI Maynooth

NUI Maynooth ePrints and eTheses Archive

NUIM Library

A finite element computation of eigenvalues of elliptic operators on compact manifolds

Bechtluft-Sachs, Stefan (2007) A finite element computation of eigenvalues of elliptic operators on compact manifolds. Journal of Computational Analysis And Applications, 9 . pp. 385-395.

[img]PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
152Kb

Abstract

A procedure to numerically compute the small eigenvalues of a first order self adjoint elliptic operator acting on sections of a Hermitian vector bundle over a compact Riemannian manifild. Explicit error bounds for the piecewise linear finite elements are derived

Keywords:eigenvalues; elliptic operators; compact manifolds;
Subjects:Science & Engineering > Mathematics
ID Code:1584
Deposited By:Dr. Stefan Bechtluft-Sachs
Deposited On:15 Oct 2009 15:47
Journal or Publication Title:Journal of Computational Analysis And Applications
Publisher:Eudoxus Press
Refereed:Yes
URL:http://www.eudoxuspress.com/

Repository Staff Only: item control page