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• W3033658573 abstract "In this paper, we are interested in solving an elliptic inverse Cauchy problem. As it is well known this problem is one of highly ill posed problem in Hadamard’s sense (Hadamard, 1953). We first establish formally a relationship between the Cauchy problem and an interface problem illustrated in a rectangular structure divided into two domains. This relationship allows us to use classical methods of non-overlapping domain decomposition to develop some regularizing and stable algorithms for solving elliptic inverse Cauchy problem. Taking advantage of this relationship we reformulate this inverse problem into a fixed point one, based on Steklov–Poincaré operator. Thus, using the topological degree of Leray–Schauder we show an existence result. Finally, the efficiency and the accuracy of the developed algorithms are discussed." @default.
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• W3033658573 date "2021-01-01" @default.
• W3033658573 modified "2023-09-30" @default.
• W3033658573 title "Some novel numerical techniques for an inverse Cauchy problem" @default.
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• W3033658573 doi "https://doi.org/10.1016/j.cam.2020.113030" @default.
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