caa a22 4500 475737199 CHVBK 20180406123450.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1007/s007730070004 doi (NATIONALLICENCE)springer-10.1007/s007730070004 Solution of an unstable inverse problem: wave source evaluation from observation of velocity distribution [Elektronische Daten] [Taek S. Jang, Hang S. Choi, Takeshi Kinoshita] Abstract:: This paper illustrates how to estimate a wave source generating a wave system, including local waves, with the assumption of linear dispersive waves of two dimensions. The estimation of wave source is realized by using an inverse problem. Unfortunately, the inverse problem is ill-posed in the sense of stability, since the wave source information included in local waves diminishes as the distance from the wave source increases. In the area of applied mathematics, there are well-developed methods to tackle ill-posed problems, which are called regularizations. In this paper, three different regularizations which are well known in applied mathematics are introduced and investigated to learn whether they are applicable to the present problem of the estimation of wave source. From the numerical experiments, it is shown that the estimation is realized by the regularizations introduced in this study, so that they can be applied to the determination of a wave source generating a wave system including local waves. The Society of Naval Architects of Japan, 2000 Key words: Ill-pose problem nationallicence Regularizations nationallicence Determination of wave source nationallicence Jang Taek S. Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan, JP aut Choi Hang S. Department of Naval Architecture and Ocean Engineering, Seoul National University, Seoul 151-742, Korea, KR aut Kinoshita Takeshi Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan, JP aut https://doi.org/10.1007/s007730070004 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s007730070004 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jang Taek S. Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan, JP aut NATIONALLICENCE 700 1- Choi Hang S. Department of Naval Architecture and Ocean Engineering, Seoul National University, Seoul 151-742, Korea, KR aut NATIONALLICENCE 700 1- Kinoshita Takeshi Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan, JP aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer