Prediction of propagated wave profiles based on point measurement
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초록
This study presents the prediction of propagated wave profiles using the wave information at a fixed point. The fixed points can be fixed in either space or time. Wave information based on the linear wave theory can be expressed by Fredholm integral equation of the first kinds. The discretized matrix equation is usually an ill-conditioned system. Tikhonov regularization was applied to the ill-conditioned system to overcome instability of the system. The regularization parameter is calculated by using the L-curve method. The numerical results are compared with the expe¬rimental results. The analysis of the numerical computation shows that the Tikhonov regularization method is useful.
Abstract
This study presents the prediction of propagated wave profiles using the wave information at a fixed point. The fixed points can be fixed in either space or time. Wave information based on the linear wave theory can be expressed by Fredholm integral equation of the first kinds. The discretized matrix equation is usually an ill-conditioned system. Tikhonov regularization was applied to the ill-conditioned system to overcome instability of the system. The regularization parameter is calculated by using the L-curve method. The numerical results are compared with the expe¬rimental results. The analysis of the numerical computation shows that the Tikhonov regularization method is useful.
참고문헌 (12)
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- Tikhonov, A. N., "Solution of incorrectly formulated problems and the regularization method", Soviet Doklady, 4, pp.1035~1038 (1963)
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