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Time finite element methods for structural dynamics
Author(s) -
Hulbert Gregory M.
Publication year - 1992
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.1620330206
Subject(s) - finite element method , mathematics , norm (philosophy) , galerkin method , discontinuous galerkin method , convergence (economics) , mixed finite element method , extended finite element method , stability (learning theory) , mathematical analysis , computer science , structural engineering , machine learning , political science , law , engineering , economics , economic growth
Time finite element methods are developed for the equations of structural dynamics. The approach employs the time‐discontinuous Galerkin method and incorporates stabilizing terms having least‐squares form. These enable a general convergence theorem to be proved in a norm stronger than the energy norm. Results are presented from finite difference analyses of the time‐discontinuous Galerkin and least‐squares methods with various temporal interpolations and commonly used finite difference methods for structural dynamics. These results show that, for particular interpolations, the time finite element method exhibits improved accuracy and stability.