A NEW DIRECT HIGHER-ORDER TAYLOR-GALERKIN FINITE-ELEMENT METHOD

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A computationally efficient direct higher-order Taylor-Galerkin method is presented. A predictor-corrector type higher-order Taylor-Galerkin method has been developed by the first author. However, the method, which is highly accurate compared to other existing methods, is conditionally stable. For dynamic analysis of complicated structures other than trusses, it is essential for an algorithm to be unconditionally stable. In this work, an unconditionally stable scheme is presented. This scheme preserves the desirable properties of the Taylor-Galerkin method in that it requires neither a special starting algorithm nor the evaluation of acceleration at each time step. Along with the unconditionally stable scheme, an accurate but conditionally stable scheme is also presented. Accuracy and computational efficiency of the schemes are discussed.
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
1995-08
Language
ENG
Article Type
Article
Citation

COMPUTERS STRUCTURES, v.56, no.4, pp.651 - 656

ISSN
0045-7949
DOI
10.1016/0045-7949(94)00561-G
URI
http://hdl.handle.net/10203/74708
Appears in Collection
ME-Journal Papers(저널논문)
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