On the identification of star-shape sources from boundary measurements using a reciprocity functional

DOI10.1080/17415970802082799zbMath1166.65392OpenAlexW1983966078MaRDI QIDQ3612685

Nilson C. Roberty, Carlos J. S. Alves

Publication date: 10 March 2009

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970802082799

zbMATH Keywords

Fourier transformPoisson equationCauchy datareciprocity functionalstar-shape source reconstruction

Mathematics Subject Classification ID

Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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A numerical method for inverse source problems for Poisson and Helmholtz equations ⋮ Shape optimization method for an inverse geometric source problem and stability at critical shape ⋮ A reconstruction method for the inverse gravimetric problem ⋮ Reconstruction algorithms of an inverse source problem for the Helmholtz equation ⋮ Moving heat source reconstruction from Cauchy boundary data: the Cartesian coordinates case ⋮ Moving heat source reconstruction from the Cauchy boundary data ⋮ Integral and variational formulations for the Helmholtz equation inverse source problem ⋮ Simultaneous reconstruction of coefficients and source parameters in elliptic systems modelled with many boundary value problems ⋮ Detecting the localization of elastic inclusions and Lamé coefficients ⋮ On inverse problems for characteristic sources in Helmholtz equations ⋮ An efficient and robust algorithm for source reconstruction in the Helmholtz equation

Cites Work

• The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction
• Some remarks on the problem of source identification from boundary measurements
• An inverse source problem in potential analysis
• Iterative methods for the reconstruction of an inverse potential problem

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