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Seventh Mississippi State - UAB Conference on Differential Equations & Computational Simulations
November 1-3, 2007
Doubletree Hotel
Birmingham, AL, USA

Organizers
Mississippi State University & University of Alabama - Birmingham

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A Finite Volume Element Method With Bilinear Immersed Finite Elements
by
Xiaoming He
Department of Mathematics, Virginia Tech
Coauthors: Tao Lin(Virginia Tech)

This paper discusses a finite volume element method with bilinear immersed finite element(IFE) for solving second order elliptic boundary value problems with discontinuous coefficients . This method possesses both the advantages of finite volume element method and those of IFE. It also overcomes a disadvantage of IFE. The numerical exmaples show that the numerical solution of this method converges to the exact solution with convergence rates O(h2) and O(h) in the L2 norm and H1 norm, respectively.

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Date received: August 8, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cauf-11.