The backward Euler fully discrete finite volume method for the problem of purely longitudinal motion of a homogeneous bar (Q1938208)
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scientific article; zbMATH DE number 6134098
| Language | Label | Description | Also known as |
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| English | The backward Euler fully discrete finite volume method for the problem of purely longitudinal motion of a homogeneous bar |
scientific article; zbMATH DE number 6134098 |
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The backward Euler fully discrete finite volume method for the problem of purely longitudinal motion of a homogeneous bar (English)
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4 February 2013
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Summary: 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 give an optimal order error estimates in \(L^2\) and \(H^1\) norms. Furthermore, we obtain the superconvergence error estimate of the generalized projection of the solution \(u\) in \(H^1\) norm. Numerical experiment illustrates the convergence and stability of this scheme.
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