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Recovery of pointwise sources or small inclusions in 2D domains and rational approximation

被引：45
作者：
Baratchart, L
Ben Abda, A
Ben Hassen, F
Leblond, J
机构：
[1] INRIA, F-06902 Sophia Antipolis, France
[2] ENIT, LAMSIN, Tunis 1002, Tunisia
[3] Univ Gottingen, Inst Numer & Angew Math, D-37083 Gottingen, Germany
来源：
INVERSE PROBLEMS | 2005年 / 21卷 / 01期
关键词：
D O I：
10.1088/0266-5611/21/1/005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the inverse problems of locating pointwise or small size conductivity defaults in a plane domain, from overdetermined boundary measurements of solutions to the Laplace equation. We express these issues in terms of best rational or meromorphic approximation problems on the boundary, with poles constrained to belong to the domain. This approach furnishes efficient and original resolution schemes.
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页码：51 / 74
页数：24
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