Analytic Sensing: Noniterative Retrieval of Point Sources from Boundary Measurements
نویسندگان
چکیده
منابع مشابه
Analytic Sensing: Noniterative Retrieval of Point Sources from Boundary Measurements
We consider the problem of locating point sources in the planar domain from overdetermined boundary measurements of solutions of Poisson’s equation. In this paper, we propose a novel technique, termed “analytic sensing,” which combines the application of Green’s theorem to functions with vanishing Laplacian—known as the “reciprocity gap” principle—with the careful selection of analytic function...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2009
ISSN: 1064-8275,1095-7197
DOI: 10.1137/080712829