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Automatic energy conserving space–time refinement for linear dynamic structural problems
Author(s) -
Cavin P.,
Gravouil A.,
Lubrecht A. A.,
Combescure A.
Publication year - 2005
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1366
Subject(s) - finite element method , convergence (economics) , algorithm , computer science , energy (signal processing) , displacement (psychology) , process (computing) , stability (learning theory) , spacetime , star (game theory) , mathematical optimization , mathematics , interface (matter) , mathematical analysis , structural engineering , engineering , parallel computing , physics , quantum mechanics , operating system , psychology , statistics , bubble , machine learning , maximum bubble pressure method , economics , psychotherapist , economic growth
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. Copyright © 2005 John Wiley & Sons, Ltd.
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