کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1900947 | 1045531 | 2010 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: An inverse measurement of the sudden underwater movement of the sea-floor by using the time-history record of the water-wave elevation An inverse measurement of the sudden underwater movement of the sea-floor by using the time-history record of the water-wave elevation](/preview/png/1900947.png)
An inverse problem is formulated for (indirectly) measuring the sudden movement of the sea-floor by using a time-history record of the resulting water-wave elevation. The measurement problem is shown to have a unique solution, which can correspond to the real physical wave-source of the sudden movement of the sea-floor. However, the problem formulated herein is concerned with a Fredholm integral equation of the first kind. This leads to a peculiar – and unwelcome – phenomenon involving numerical instability in the solution of the integral equation because the solution of the first-kind integral equation lacks the stability property. Topologically, we are faced with a completely different mathematical solution-structure that is ill-posed in the sense of stability compared to the usual, well-posed problems. A solution-stability property is artificially inserted into the formulated (measurement) problem to find a stabilized solution: this is realized by introducing Landweber–Fridman’s regularization method in this study. The workability of the suggested measurement is investigated through a numerical experiment.
Journal: Wave Motion - Volume 47, Issue 3, April 2010, Pages 146–155