Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 32356, 21 pages
doi:10.1155/JIA/2006/32356

Applications of the poincaré inequality to extended Kantorovich method

Der-Chen Chang,1 Tristan Nguyen,2 Gang Wang,3 and Norman M. Wereley3

 1Department of Mathematics, Georgetown University, Washington DC 20057-0001, USA
2Department of Defense, Fort Meade 20755, MD, USA
3Smart Structures Laboratory, Alfred Gessow Rotorcraft Center, Department of Aerospace Engineering, University of Maryland, College Park 20742, MD, USA
Received 3 February 2005; Revised 2 March 2005; Accepted 18 April 2005

Abstract

We apply the Poincaré inequality to study the extended Kantorovich method that was used to construct a closed-form solution for two coupled partial differential equations with mixed boundary conditions.