Reconstruction of the corrosion boundary for the Laplace equation by using a boundary collocation method

DOI10.1016/j.matcom.2008.11.019zbMath1161.65363OpenAlexW2094553955MaRDI QIDQ1013150

Liang Yan, Ting Wei, Feng-Lian Yang

Publication date: 17 April 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.11.019

zbMATH Keywords

numerical examplesLaplace equationTikhonov regularizationinverse boundary problemboundary collocation method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (7)

Boundary particle method for Cauchy inhomogeneous potential problems ⋮ The inverse determination of the thermal contact resistance components of unidirectionally reinforced composite ⋮ The MFS for numerical boundary identification in two-dimensional harmonic problems ⋮ A new investigation into regularization techniques for the method of fundamental solutions ⋮ A survey of applications of the MFS to inverse problems ⋮ Inverse solutions of temperature, heat flux and heat source by the Green element method ⋮ Direct and inverse problem for geometric perturbation of the Laplace operator in a strip

Uses Software

• Regularization tools

Cites Work

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