Identification of a Core from Boundary Data

DOI10.1137/S0036139993256308zbMath0829.31004MaRDI QIDQ4845103

Wolfgang Ring

Publication date: 22 January 1996

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fourier transforminjectivitynumerical resultssmoothnessnonlinear integral equationinverse source problemill- posednessinfinite system of nonlinear functionals

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (7)

Weighted sparsity regularization for source identification for elliptic PDEs ⋮ Modified Tikhonov regularization for identifying several sources ⋮ On inverse problems for characteristic sources in Helmholtz equations ⋮ One-iteration reconstruction algorithm for geometric inverse source problem ⋮ A Regularization Approach for an Inverse Source Problem in Elliptic Systems from Single Cauchy Data ⋮ Finite element approximation of source term identification with TV-regularization ⋮ A regularization operator for source identification for elliptic PDEs

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