典型文献
APPLICATION OF THE FACTORIZATION METHOD TO RECOVER CUTS WITH OBLIQUE DERIVATIVE BOUNDARY CONDITION
文献摘要：
Direct and inverse problems for the scattering of cracks with mixed oblique deriva-tive boundary conditions from the incident plane wave are considered,which describe the scattering phenomenons such as the scattering of tidal waves by spits or reefs.The solv-ability of the direct scattering problem is proven by using the boundary integral equation method.In order to show the equivalent boundary integral system is Fredholm of index zero,some relationships concerning the tangential potential operator is used.Due to the mixed oblique derivative boundary conditions,we cannot employ the factorization method in a usual manner to reconstruct the cracks.An alternative technique is used in the the-oretical analysis such that the far field operator can be factorized in an appropriate form and fulfills the range identity theorem.Finally,we present some numerical examples to demonstrate the feasibility and effectiveness of the factorization method.
文献关键词：
中图分类号：
作者姓名：
Jun Guo;Jian He;Jin Li
作者机构：
School of Mathematics and Statistics,South-Central University For Nationalities,Wuhan 430074,China;Department of Basic Courses,Air Force Early Warning Academy,Wuhan 430019,China;School of Science,Jiujiang University,Jiujiang 332005,China
文献出处：
引用格式：
[1]Jun Guo;Jian He;Jin Li-.APPLICATION OF THE FACTORIZATION METHOD TO RECOVER CUTS WITH OBLIQUE DERIVATIVE BOUNDARY CONDITION)[J].计算数学（英文版）,2022(03):373-395
A类：
APPLICATION,FACTORIZATION,RECOVER,CUTS,OBLIQUE,DERIVATIVE,BOUNDARY,CONDITION,phenomenons,spits
B类：
OF,THE,METHOD,WITH,Direct,inverse,problems,scattering,cracks,mixed,oblique,boundary,conditions,from,incident,plane,are,considered,which,describe,such,tidal,waves,by,reefs,solv,ability,direct,proven,using,integral,equation,method,In,order,show,equivalent,system,Fredholm,zero,some,relationships,concerning,tangential,potential,operator,used,Due,derivative,we,cannot,employ,factorization,usual,manner,reconstruct,An,alternative,technique,oretical,analysis,that,far,field,factorized,appropriate,form,fulfills,range,identity,theorem,Finally,present,numerical,examples,demonstrate,feasibility,effectiveness
AB值：
0.541852
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