Fast reconstruction of harmonic functions from Cauchy data using integral equation techniques
نویسندگان
چکیده
منابع مشابه
Fast reconstruction of harmonic functions from Cauchy data using integral equation techniques
We consider the problem of stable determination of a harmonic function from knowledge of the solution and its normal derivative on a part of the boundary of the (bounded) solution domain. The alternating method is a procedure to generate an approximation to the harmonic function from such Cauchy data and we investigate a numerical implementation of this procedure based on Fredholm integral equa...
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We propose and investigate a method for the stable determination of a harmonic function from knowledge of its value and its normal derivative on a part of the boundary of the (bounded) solution domain (Cauchy problem). We reformulate the Cauchy problem as an operator equation on the boundary using the Dirichlet-to-Neumann map. To discretize the obtained operator, we modify and employ a method d...
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ژورنال
عنوان ژورنال: Inverse Problems in Science and Engineering
سال: 2010
ISSN: 1741-5977,1741-5985
DOI: 10.1080/17415971003624322