Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions method

DOI10.1016/j.aml.2019.03.017OpenAlexW2920949986WikidataQ128230214 ScholiaQ128230214MaRDI QIDQ1739515

Chih-Wen Chang, Chein-Shan Liu

Publication date: 26 April 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.03.017

zbMATH Keywords

nonlinear elliptic equationhomogenization functionsnonlinear inverse conductivity problemsuperposition of homogenization functions method (SHFM)

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

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Boundary shape function method for nonlinear BVP, automatically satisfying prescribed multipoint boundary conditions ⋮ Solving the <scp>2D</scp> and <scp>3D</scp> nonlinear inverse source problems of elliptic type partial differential equations by a homogenization function method ⋮ Solving nonlinear elliptic inverse source, coefficient and conductivity problems by the methods with bases satisfying the boundary conditions automatically ⋮ A spring-damping regularization of the Fourier sine series solution to the inverse Cauchy problem for a 3D sideways heat equation

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• Variationally constrained numerical solution of electrical impedance tomography
• Electrical impedance tomography
• Recovering a complex coefficient in a planar domain from the Dirichlet-to-Neumann map

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