The Backward Euler Fully Discrete Finite Volume Method for the Problem of Purely Longitudinal Motion of a Homogeneous Bar

Ziwen Jiang and Deren Xie

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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.

Date: 2012
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https://doi.org/10.1155/2012/475801

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:475801

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