A noniterative reconstruction method for the inverse potential problem with partial boundary measurements

DOI10.1002/MMA.5504zbMath1416.65311OpenAlexW2919990471WikidataQ128306750 ScholiaQ128306750MaRDI QIDQ5380891

Ravi Prakash, Lucas dos Santos Fernandez, Antonio André Novotny

Publication date: 6 June 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5504

zbMATH Keywords

topology optimizationreconstruction methodinverse potential problemmodified Helmholtz equationhigher-order topological derivatives

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Inverse problems for PDEs (35R30) Asymptotic expansions of solutions to PDEs (35C20) Optimization of shapes other than minimal surfaces (49Q10) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in optimal control (49N45) Inverse problems for integral equations (45Q05) Sensitivity analysis for optimization problems on manifolds (49Q12)

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