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2012 The Backward Euler Fully Discrete Finite Volume Method for the Problem of Purely Longitudinal Motion of a Homogeneous Bar
Ziwen Jiang, Deren Xie
Abstr. Appl. Anal. 2012(SI10): 1-23 (2012). DOI: 10.1155/2012/475801

Abstract

We present a linear backward Euler fully discrete finite volume method for the initial-boundary-value problem of purely longitudinal motion of a homogeneous bar and an give optimal order error estimates in L2 and H1 norms. Furthermore, we obtain the superconvergence error estimate of the generalized projection of the solution u in H1 norm. Numerical experiment illustrates the convergence and stability of this scheme.

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Ziwen Jiang. Deren Xie. "The Backward Euler Fully Discrete Finite Volume Method for the Problem of Purely Longitudinal Motion of a Homogeneous Bar." Abstr. Appl. Anal. 2012 (SI10) 1 - 23, 2012. https://doi.org/10.1155/2012/475801

Information

Published: 2012
First available in Project Euclid: 5 April 2013

zbMATH: 1325.74158
MathSciNet: MR3004884
Digital Object Identifier: 10.1155/2012/475801

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI10 • 2012
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