An optimal filtering method for the Cauchy problem of the Helmholtz equation

DOI10.1016/j.aml.2011.01.005zbMath1216.35169OpenAlexW2101996392MaRDI QIDQ2430057

Hao Cheng, Chu-Li Fu, Xiao-Li Feng

Publication date: 5 April 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.01.005

zbMATH Keywords

error estimateill-posed problemfiltering regularizationCauchy problem for the Helmholtz equation

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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