A high order finite volume element method for solving elliptic partial integro-differential equations

Authors:
Fatemeh Shakeri;Mehdi Dehghan
Affiliations:
Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran 15914, Iran;Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran 15914, Iran
Venue:
Applied Numerical Mathematics
Year:
2013

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Abstract

In this paper, we develop a finite volume element method of order p for solving elliptic integro-differential equations in two dimensions. These types of equations arise in questions of hereditary phenomena in physics. The H^1 norm error estimates are discussed, the convergence result in H^1 norm is proved and some numerical results are studied to illustrate the effectiveness of the method.