The Backward Euler Fully Discrete Finite Volume Method for the Problem of Purely Longitudinal Motion of a Homogeneous Bar
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-20
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Jiang, Ziwen& Xie, Deren. 2012. The Backward Euler Fully Discrete Finite Volume Method for the Problem of Purely Longitudinal Motion of a Homogeneous Bar. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-474560
Modern Language Association (MLA)
Jiang, Ziwen& Xie, Deren. The Backward Euler Fully Discrete Finite Volume Method for the Problem of Purely Longitudinal Motion of a Homogeneous Bar. Abstract and Applied Analysis No. 2012 (2012), pp.1-23.
https://search.emarefa.net/detail/BIM-474560
American Medical Association (AMA)
Jiang, Ziwen& Xie, Deren. The Backward Euler Fully Discrete Finite Volume Method for the Problem of Purely Longitudinal Motion of a Homogeneous Bar. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-474560
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474560
