A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domain

DOI10.1016/j.camwa.2018.07.032zbMath1442.65333OpenAlexW2885050150MaRDI QIDQ2202967

Fajie Wang, Chein-Shan Liu

Publication date: 1 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.07.032

zbMATH Keywords

nonlinear elliptic equationhomogenization functionhomogenization/boundary function methodnonlinear inverse Cauchy problemdomain type meshless collocation method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (10)

The localized method of fundamental solutions for 2D and 3D second-order nonlinear boundary value problems ⋮ 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 the 3D Cauchy problems of nonlinear elliptic equations by the superposition of a family of 3D homogenization functions ⋮ Completion of right-hand side in the frame of inverse Cauchy problem of elliptic type equation through homogenization meshless collocation method ⋮ An effective relaxed alternating procedure for Cauchy problem connected with Helmholtz Equation ⋮ Solving nonlinear elliptic inverse source, coefficient and conductivity problems by the methods with bases satisfying the boundary conditions automatically ⋮ Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions method ⋮ A homogenization function technique to solve the 3D inverse Cauchy problem of elliptic type equations in a closed walled shell ⋮ Boundary function method for boundary identification in two-dimensional steady-state nonlinear heat conduction problems ⋮ A homogenization method to solve inverse Cauchy–Stefan problems for recovering non-smooth moving boundary, heat flux and initial value

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