On the nonuniqueness of reconstructing the right-hand sides of an elliptic equation

DOI10.3103/S0278641912010037zbMath1255.65201OpenAlexW2069004781MaRDI QIDQ1759143

D. V. Churbanov, A. Yu. Shcheglov

Publication date: 20 November 2012

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0278641912010037

zbMATH Keywords

inverse problemnumerical experimentsPoisson equationNeumann problemelliptic equationnonuniquenesspoint sources

Mathematics Subject Classification ID

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)

Cites Work

• Elements of the theory of inverse problems
• Numerical solution of an inverse electrocardiography problem for a medium with piecewise constant electrical conductivity
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