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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.

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