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An improved predictor/multi-corrector algorithm for a time-discontinuous Galerkin finite element method in structural dynamics. (English) Zbl 0976.74063
From the summary: This work presents an improved predictor/multi-corrector algorithm for linear structural dynamics problems, based on the time-discontinuous Galerkin finite element method. The improved algorithm employs the Gauss-Seidel method to calculate iteratively the solutions that exist in the predictor/multi-corrector phase of numerical implementation. Stability analyses ot iterative algorithms reveal that such an improved scheme retains the unconditionally stable behavior with greater efficiency than another iterative algorithm.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74M15 Contact in solid mechanics
74K99 Thin bodies, structures
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