On inverse problems for characteristic sources in Helmholtz equations
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Publication:1992506
DOI10.1155/2017/2472060zbMath1426.65166OpenAlexW2591650455WikidataQ59147404 ScholiaQ59147404MaRDI QIDQ1992506
Nuno F. M. Martins, Carlos J. S. Alves, Roberto Mamud, Nilson C. Roberty
Publication date: 5 November 2018
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2017/2472060
Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
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Cites Work
- Unnamed Item
- Unnamed Item
- On choosing the location of the sources in the MFS
- On the choice of source points in the method of fundamental solutions
- A nonlinear integral equation and an iterative algorithm for an inverse source problem
- Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains
- The method of fundamental solutions for elliptic boundary value problems
- Full identification of acoustic sources with multiple frequencies and boundary measurements
- On the multi-frequency inverse source problem in heterogeneous media
- A survey of applications of the MFS to inverse problems
- An inverse source problem for Helmholtz's equation from the Cauchy data with a single wave number
- On an inverse source problem for the heat equation. Application to a pollution detection problem, II
- The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction
- Recovering the source term in a linear diffusion problem by the method of fundamental solutions
- On the identification of star-shape sources from boundary measurements using a reciprocity functional
- A Moment Problem on Jordan Domains
- Some remarks on the problem of source identification from boundary measurements
- Recovery of the support of a source term in an elliptic differential equation
- An inverse source problem in potential analysis
- On an inverse source problem for the heat equation. Application to a pollution detection problem
- Identification of a Core from Boundary Data
- Iterative methods for the reconstruction of an inverse potential problem
- A moving pseudo‐boundary method of fundamental solutions for void detection
- The Method of Fundamental Solutions in Solving Coupled Boundary Value Problems for M/EEG
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