Numerical solution of an inverse boundary value problem for the heat equation with unknown inclusions
From MaRDI portal
Publication:725462
DOI10.1016/j.jcp.2018.05.008zbMath1395.65060OpenAlexW2800372872WikidataQ129894500 ScholiaQ129894500MaRDI QIDQ725462
Publication date: 1 August 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2018.05.008
Heat equation (35K05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Related Items (6)
Numerical solutions of the forward and inverse problems arising in diffuse optical tomography ⋮ On the cavity detection in a heat conductive medium from time-average boundary temperature measurement ⋮ On the non-linear integral equation approach for an inverse boundary value problem for the heat equation ⋮ Solvability of interior transmission problem for the diffusion equation by constructing its Green function ⋮ On the direct and inverse electromagnetic scattering by chiral media ⋮ Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation
Cites Work
- Probing for inclusions in heat conductive bodies
- Boundary integral operators for the heat equation
- Qualitative methods in inverse scattering theory. An introduction
- Inverse boundary value problem for the heat equation with discontinuous coefficients
- Linear sampling method for identifying cavities in a heat conductor
- A meshless method for solving a two‐dimensional transient inverse geometric problem
- An efficient numerical method for a shape-identification problem arising from the heat equation
- Detection and characterization of buried landmines using infrared thermography
- Numerical Implementation for a 2-D Thermal Inhomogeneity Through the Dynamical Probe Method
- Stable Determination of the Discontinuous Conductivity Coefficient of a Parabolic Equation
- Reconstruction of an unknown inclusion by thermography
- On Uniqueness of Recovery of the Discontinuous ConductivityCoefficient of a Parabolic Equation
- Reconstruction of an unknown cavity with Robin boundary condition inside a heat conductor
- On the numerical solution of an inverse boundary value problem for the heat equation
- An inverse boundary value problem for the heat equation: the Neumann condition
- On the Numerical Solution of a Shape Optimization Problem for the Heat Equation
- On the reconstruction of inclusions in a heat conductive body from dynamical boundary data over a finite time interval
- Inverse Problems for Time-Dependent Singular Heat Conductivities: Multi-Dimensional Case
- Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative method
- Linear sampling method for the heat equation with inclusions
- A probe method for the inverse boundary value problem of non-stationary heat equations
This page was built for publication: Numerical solution of an inverse boundary value problem for the heat equation with unknown inclusions
