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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

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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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