A general filter regularization method to solve the three dimensional Cauchy problem for inhomogeneous Helmholtz-type equations: theory and numerical simulation

DOI10.1016/j.apm.2014.03.001zbMath1449.65306OpenAlexW2086239626MaRDI QIDQ1632962

Huy Tuan Nguyen, Van Thinh Nguyen, Quoc Viet Tran, Duc Trong Dang

Publication date: 17 December 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.03.001

zbMATH Keywords

Cauchy problemregularization methodHelmholtzill-posedinhomogeneous source

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (4)

Analysis and numerical simulation of the three-dimensional Cauchy problem for quasi-linear elliptic equations ⋮ Filter regularization for final value fractional diffusion problem with deterministic and random noise ⋮ A new general filter regularization method for Cauchy problems for elliptic equations with a locally Lipschitz nonlinear source ⋮ On a three dimensional Cauchy problem for inhomogeneous Helmholtz equation associated with perturbed wave number

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