Missing boundary data recovering for the Helmholtz problem

DOI10.1016/J.CRME.2007.10.006zbMath1134.65366OpenAlexW2143009978MaRDI QIDQ2478144

Amel Ben Abda, Riadh Ben Fatma, Mejdi Aza ıïez, Nabil Gmati

Publication date: 14 March 2008

Published in: Comptes Rendus. Mécanique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crme.2007.10.006

zbMATH Keywords

inverse problemfinite element methodnumerical experimentspreconditioningill-posed problemSteklov-Poincaré operatordata completioninterface operatorCauchy-Helmholtz problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (2)

An Aitken-like acceleration method applied to missing boundary data reconstruction for the Cauchy-Helmholtz problem ⋮ A data completion algorithm using an integral representation of the Steklov-Poincaré operator

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