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Inverse source identification by Green’s function. (English) Zbl 1244.65162
Summary: Based on the use of Green’s function, we propose in this paper a new approach for solving specific classes of inverse source identification problems. Effective numerical algorithms are developed to recover both the intensities and locations of unknown point sources from scattered boundary measurements. For numerical verification, several boundary value problems defined on both bounded and unbounded regions of regular shape are given. Due to the use of closed analytic form of Green’s function, the efficiency and accuracy of the proposed method can be guaranteed.

MSC:
65N21 Numerical methods for inverse problems for boundary value problems involving PDEs
65N80 Fundamental solutions, Green’s function methods, etc. for boundary value problems involving PDEs
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