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A generalized least‐squares family of algorithms for transient dynamic analysis
Author(s) -
Kujawski Jerzy,
Gallagher Richard H.
Publication year - 1989
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290180408
Subject(s) - dissipative system , newmark beta method , acceleration , simple (philosophy) , algorithm , finite element method , transient (computer programming) , least squares function approximation , mathematics , computer science , structural engineering , engineering , statistics , physics , philosophy , epistemology , classical mechanics , quantum mechanics , estimator , operating system
By use of the generalized least‐squares procedure, in conjunction with a finite element approximation in time, a simple three‐time‐level family of time integration schemes is derived. This results in fourth‐order accurate unconditionally stable algorithms and stable eighth‐order accurate non‐dissipative algorithms. Numerical examples show the accuracy of the proposed schemes in comparison with the Fox‐Goodwin formula and Newmark's average acceleration method.