Automatic energy conserving space–time refinement for linear dynamic structural problems
✍ Scribed by P. Cavin; A. Gravouil; A. A. Lubrecht; A. Combescure
- Book ID
- 102549168
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 197 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.1366
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✦ Synopsis
In this paper a local space-time automatic refinement method (STAR method) is developed to efficiently solve time-dependent problems using FEM techniques. The automatic process is driven by an energy or a displacement error indicator which controls the precision of the result. The STAR method solves the numerical problem on grids with different mesh size. For the Newmark schemes, a general demonstration, using the energy method, gives the interface conditions between two successive grids which is compatible with the stability of the scheme. Finally, using a linear one-dimensional example, the convergence of the method and the precision of the results are discussed.
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