NONLINEAR INTEGRAL-EQUATIONS;
OBSTACLE SCATTERING;
ACOUSTIC SCATTERING;
OPEN ARC;
D O I:
10.1063/1.3698620
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
For the inverse scattering problem from a sound-soft crack a second degree Newton method is proposed in this paper. Based on integral equations method, our scheme splits the inverse problem into a well-posed problem and a nonlinear ill-posed problem which will be linearized using a second degree method. Some reconstructions will be given to demonstrate the feasibility of the proposed method. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3698620]
机构:
Moscow MV Lomonosov State Univ, Fac Phys, Dept Math, Moscow 119899, RussiaMoscow MV Lomonosov State Univ, Fac Phys, Dept Math, Moscow 119899, Russia
机构:
Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R ChinaYantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
Qu, Fenglong
Zhang, Bo
论文数: 0引用数: 0
h-index: 0
机构:
Chinese Acad Sci, NCMIS, LSEC, Beijing 100190, Peoples R China
Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R ChinaYantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
Zhang, Bo
Zhang, Haiwen
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h-index: 0
机构:
Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Chinese Acad Sci, NCMIS, Beijing 100190, Peoples R China
Univ Gottingen, Inst Numer & Appl Math, Lotzestr 16-18, D-37083 Gottingen, GermanyYantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
机构:
Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, GermanyChinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
Hu, Guanghui
Yang, Jiaqing
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h-index: 0
机构:
Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
Yang, Jiaqing
Zhang, Bo
论文数: 0引用数: 0
h-index: 0
机构:
Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
机构:
Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
Ji, Xia
Jia, Yun-fei
论文数: 0引用数: 0
h-index: 0
机构:
Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
Jia, Yun-fei
Liu, Xiao-dong
论文数: 0引用数: 0
h-index: 0
机构:
Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
机构:
Univ Paris 06, Univ Sorbonne, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France
CNRS, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France
EPC Alpines, INRIA Paris Rocquencourt, F-78153 Le Chesnay, FranceUniv Paris 06, Univ Sorbonne, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France
Claeys, Xavier
Hiptmair, Ralf
论文数: 0引用数: 0
h-index: 0
机构:
Swiss Fed Inst Technol, Zurich, SwitzerlandUniv Paris 06, Univ Sorbonne, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France
Hiptmair, Ralf
Spindler, Elke
论文数: 0引用数: 0
h-index: 0
机构:
Swiss Fed Inst Technol, Zurich, SwitzerlandUniv Paris 06, Univ Sorbonne, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France