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Spectrum of Multidimensional Schrödinger Operators with Sparse Potentials 具有稀疏势的多维Schrödinger算子的谱
Analytical and computational methods in scattering and applied mathematics Pub Date : 2019-05-07 DOI: 10.1201/9780429186875-19
S. Molchanov, B. Vainberg
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引用次数: 2
The Finite Element Approximation of Scattering in a Layered Medium 层状介质中散射的有限元近似
Analytical and computational methods in scattering and applied mathematics Pub Date : 2019-05-07 DOI: 10.1201/9780429186875-7
J. Coyle, P. Monk
{"title":"The Finite Element Approximation of Scattering in a Layered Medium","authors":"J. Coyle, P. Monk","doi":"10.1201/9780429186875-7","DOIUrl":"https://doi.org/10.1201/9780429186875-7","url":null,"abstract":"","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"121 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132395527","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Obstacle Scattering as Seen by R.K. and R.K. R.K.和R.K.观察到的障碍物散射
Analytical and computational methods in scattering and applied mathematics Pub Date : 2019-05-07 DOI: 10.1201/9780429186875-14
R. Kress
{"title":"Obstacle Scattering as Seen by R.K. and R.K.","authors":"R. Kress","doi":"10.1201/9780429186875-14","DOIUrl":"https://doi.org/10.1201/9780429186875-14","url":null,"abstract":"","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121867790","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Pointwise Interpolation Inequalities for Riesz and Bessel Potentials * Riesz势和Bessel势的点向插值不等式*
Analytical and computational methods in scattering and applied mathematics Pub Date : 2019-05-07 DOI: 10.1201/9780429186875-18
V. Maz'ya, T. Shaposhnikova
{"title":"Pointwise Interpolation Inequalities for Riesz and Bessel Potentials *","authors":"V. Maz'ya, T. Shaposhnikova","doi":"10.1201/9780429186875-18","DOIUrl":"https://doi.org/10.1201/9780429186875-18","url":null,"abstract":"","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"140 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116437836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modified Gradient and Contrast Source Inversion 改进的梯度和对比度源反演
Analytical and computational methods in scattering and applied mathematics Pub Date : 2019-05-07 DOI: 10.1201/9780429186875-2
P. M. van den Berg
{"title":"Modified Gradient and Contrast Source Inversion","authors":"P. M. van den Berg","doi":"10.1201/9780429186875-2","DOIUrl":"https://doi.org/10.1201/9780429186875-2","url":null,"abstract":"","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121303126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Nonlinearized Wavefield Inversion Methods and the Identification of Buried Objects 非线性波场反演方法与地物识别
Analytical and computational methods in scattering and applied mathematics Pub Date : 2019-05-07 DOI: 10.1201/9781420035971.ch15
D. Lesselier, B. Duchêne
{"title":"On Nonlinearized Wavefield Inversion Methods and the Identification of Buried Objects","authors":"D. Lesselier, B. Duchêne","doi":"10.1201/9781420035971.ch15","DOIUrl":"https://doi.org/10.1201/9781420035971.ch15","url":null,"abstract":"Wavefield inversion has been considered with much attention by R. E. Kleinman. Some of his investigations have been led with the authors and their colleagues. Of particular examination here are two solution algorithms (complete family and binary-specialized modified gradient) for the retrieval of scatterers buried in a layered embedding. But the main purpose of this contribution is to illustrate the lasting impact of his work in this demanding field both at theoretical and numerical levels, and in so doing to sketch some challenging issues to be addressed if one wishes, as R. E. Kleinman worked so much for, to \"accelerate the transition from mathematical model to practical numerical solution\".","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"131 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122995866","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Identification of Acoustically Soft Solids of Revolution in a Waveguide using the ICBA Method * 用ICBA方法识别波导中旋转声软固体*
Analytical and computational methods in scattering and applied mathematics Pub Date : 2019-05-07 DOI: 10.1201/9780429186875-3
J. Buchanan, R. Gilbert, A. Wirgin, Y. Xu
{"title":"Identification of Acoustically Soft Solids of Revolution in a Waveguide using the ICBA Method *","authors":"J. Buchanan, R. Gilbert, A. Wirgin, Y. Xu","doi":"10.1201/9780429186875-3","DOIUrl":"https://doi.org/10.1201/9780429186875-3","url":null,"abstract":"","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130753447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Acoustic Scattering in Dispersions * 色散中的声散射*
Analytical and computational methods in scattering and applied mathematics Pub Date : 2019-05-07 DOI: 10.1201/9780429186875-11
O. Harlen, Y. Qiu, B. Sleeman, M. Povey
{"title":"Acoustic Scattering in Dispersions *","authors":"O. Harlen, Y. Qiu, B. Sleeman, M. Povey","doi":"10.1201/9780429186875-11","DOIUrl":"https://doi.org/10.1201/9780429186875-11","url":null,"abstract":"","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121938305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical Foundations for the Boundary-Field Equation Methods in Acoustic and Electromagnetic Scattering 声散射和电磁散射中边界场方程方法的数学基础
Analytical and computational methods in scattering and applied mathematics Pub Date : 2019-05-07 DOI: 10.1201/9781420035971.ch13
G. Hsiao
{"title":"Mathematical Foundations for the Boundary-Field Equation Methods in Acoustic and Electromagnetic Scattering","authors":"G. Hsiao","doi":"10.1201/9781420035971.ch13","DOIUrl":"https://doi.org/10.1201/9781420035971.ch13","url":null,"abstract":"The essence of the boundary-field equation method is the reduction of the boundary value problem under consideration to an equivalent nonlocal boundary value problem in a bounded domain by using boundary integral equations. The latter can then be treated by the standard variational method including its numerical approximations. In this paper, various formulations of the nonlocal boundary value problems will be given for the Helmholtz equation as well as for the timeharmonic Maxwell equations. Emphasis will be placed upon the variational formulation for the method and mathematical foundations for the solution procedure. Some numerical experiments are included for a model problem in electromagnetic scattering.","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132608475","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Scattering by Inclusions 夹杂物散射
Analytical and computational methods in scattering and applied mathematics Pub Date : 2019-05-07 DOI: 10.1201/9781420035971.ch17
P. A. Martin, R. Kleinman
{"title":"Scattering by Inclusions","authors":"P. A. Martin, R. Kleinman","doi":"10.1201/9781420035971.ch17","DOIUrl":"https://doi.org/10.1201/9781420035971.ch17","url":null,"abstract":"Time-harmonic waves are scattered by obstacles, through which waves can also travel. Various examples from acoustics, elastodynamics and electromagnetics are discussed, including imperfect interfaces, chiral materials and wood. The paper gives a very subjective overview but with emphasis on the contributions and influence of Ralph Kleinman.","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127135819","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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