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A platform for research: civil engineering, architecture and urbanism
Preconditioned Conjugate Gradient Method for Static Reanalysis with Modifications of Supports
This paper focuses on the problem of static reanalysis with modifications of supports. An efficient approximate reanalysis method is proposed. The definition of an augmented stiffness matrix is first introduced, and the preconditioned conjugate gradient method is then used. A preconditioner is constructed by fully using the Cholesky factorization of the initial stiffness matrix. The method preserves the ease of implementation, and the accuracy of the approximate solutions can be adaptively monitored. Numerical examples show that high-quality results can be provided by the proposed method and that the convergence is fast.
Preconditioned Conjugate Gradient Method for Static Reanalysis with Modifications of Supports
This paper focuses on the problem of static reanalysis with modifications of supports. An efficient approximate reanalysis method is proposed. The definition of an augmented stiffness matrix is first introduced, and the preconditioned conjugate gradient method is then used. A preconditioner is constructed by fully using the Cholesky factorization of the initial stiffness matrix. The method preserves the ease of implementation, and the accuracy of the approximate solutions can be adaptively monitored. Numerical examples show that high-quality results can be provided by the proposed method and that the convergence is fast.
Preconditioned Conjugate Gradient Method for Static Reanalysis with Modifications of Supports
Liu, H. F. (author) / Wu, B. S. (author) / Li, Z. G. (author)
2014-06-25
Article (Journal)
Electronic Resource
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