A homogenization boundary function method for determining inaccessible boundary of a rigid inclusion for the Poisson equation

DOI10.1016/j.enganabound.2017.10.012zbMath1403.65123OpenAlexW2767841216MaRDI QIDQ1656347

Dongjie Liu, Chein-Shan Liu

Publication date: 10 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2017.10.012

zbMATH Keywords

Poisson equationboundary determination problemhomogenization functiondomain type collocation methodhomogenization/boundary function methodrigid inclusion detection

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (8)

Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation ⋮ 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 ⋮ Solving nonlinear elliptic inverse source, coefficient and conductivity problems by the methods with bases satisfying the boundary conditions automatically ⋮ A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domain ⋮ Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions method ⋮ 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

Cites Work

• Unnamed Item
• The pre/post equilibrated conditioning methods to solve Cauchy problems
• The method of fundamental solutions for detection of cavities in EIT
• An algorithm for the solution of inverse Laplace problems and its application in flaw identification in materials
• Solution of inverse problems by boundary intergral equations without residual minimization
• A numerical computation for inverse boundary determination problem
• Numerical solutions of boundary detection problems using modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm
• Trefftz method for an inverse geometry problem in steady-state heat conduction
• Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks
• Numerical solution of a boundary detection problem using genetic algorithms
• Detection of cavities using the method of fundamental solutions
• Numerical simulation for the shape reconstruction of a cavity
• On the numerical solution of an inverse boundary value problem for the heat equation
• An Inverse Problem in Thermal Imaging
• Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems
• Conformal mappings and inverse boundary value problems

This page was built for publication: A homogenization boundary function method for determining inaccessible boundary of a rigid inclusion for the Poisson equation