Analysis of nonlinear channel friction inverse problem

2007, Volume 1, Issue 2

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Frontiers of Structural and Civil Engineering >> 2007, Volume 1, Issue 2 doi: 10.1007/s11709-007-0024-0

Analysis of nonlinear channel friction inverse problem

College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027, China;

Available online: 2007-06-05

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Abstract

Based on the Backus-Gilbert inverse theory, the singular value decomposition (SVD) for general inverse matrices and the optimization algorithm are used to solve the channel friction inverse problem. The resolution and covariance friction inverse model in matrix form is developed to examine the reliability of solutions. Theoretical analyses demonstrate that the convergence rate of the general Newton optimization algorithm is in the second-order. The Wiggins method is also incorporated into the algorithm. Using the method, noise can be suppressed effectively, and the results are close to accurate solutions with proper control parameters. Also, the numerical stability can be improved.

Keywords

singular ; SVD ; second-order ; covariance ; Theoretical

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