Simultaneous identification and reconstruction of the space-dependent reaction coefficient and source term
type: Item
instance of: scholarly article
title: Simultaneous identification and reconstruction of the space-dependent reaction coefficient and source term
zbMATH Open document ID: 1481.35395
author: Kai Cao
author: Daniel Lesnic
publication date: 2022-01-17T00:00:00Z
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 65M32
zbMATH DE Number: 7457751
zbMATH Keywords: inverse problem
zbMATH Keywords: parabolic equation
zbMATH Keywords: conjugate gradient method
MaRDI profile type: Publication
full work available at URL: jiip-2020-0025
OpenAlex ID: W3099662450
cites work: Q2753341
cites work: Reconstruction of the space-dependent perfusion coefficient from final time or time-average temperature measurements
cites work: Simultaneous reconstruction of the perfusion coefficient and initial temperature from time-average integral temperature measurements
cites work: Simultaneous reconstruction of the spatially-distributed reaction coefficient, initial temperature and heat source from temperature measurements at different times
cites work: Solving an inverse parabolic problem by optimization from final measurement data
cites work: Convergence properties of the Fletcher-Reeves method
cites work: Identifying the radiative coefficient of heat conduction equations from discrete measurement data
cites work: Numerical methods for parameter identification in stationary radiative transfer
cites work: Q3824887
cites work: Identification of a spacewise dependent heat source
cites work: Function minimization by conjugate gradients
cites work: Q5520962
cites work: On uniqueness in diffuse optical tomography
cites work: A numerical method for backward parabolic problems with non-selfadjoint elliptic operators
cites work: Multiple time-dependent coefficient identification thermal problems with a free boundary
cites work: Inverse parabolic problems with the final overdetermination
cites work: Simultaneous determination of two coefficients of a parabolic equation in the case of nonlocal and integral conditions
cites work: A procedure for determining a spacewise dependent heat source and the initial temperature
cites work: Determination of a spacewise dependent heat source
cites work: On the inverse problem of determining the right-hand side of a parabolic equation under an integral overdetermination condition
cites work: The inverse problem of simultaneous determination of the two lower space-dependent coefficients in a parabolic equation
cites work: Two inverse problems of finding a coefficient in a parabolic equation
cites work: On solvability of an inverse problem with an unknown coefficient and right-hand side for a parabolic equation
cites work: An inverse problem with an unknown coefficient and right-hand side for a parabolic equation. II
cites work: A nonlinear loaded parabolic equation and a related inverse problem
cites work: Q4852652
cites work: ON CERTAIN INVERSE PROBLEMS FOR PARABOLIC EQUATIONS WITH FINAL AND INTEGRAL OBSERVATION
cites work: Q4256419
cites work: Q3810263
cites work: The Determination of a Parabolic Equation from Initial and Final Data
cites work: Q4528992
cites work: Q3558349
cites work: Space-dependent perfusion coefficient identification in the transient bio-heat equation
cites work: Simultaneous reconstruction of the initial temperature and heat radiative coefficient
cites work: Q4103338
DOI: 10.1515/JIIP-2020-0025
published in: Journal of Inverse and Ill-posed Problems
Recommended article: Simultaneous reconstruction of the spatially-distributed reaction coefficient, initial temperature and heat source from temperature measurements at different times
Recommended article: Reconstructing a space-dependent source term via the quasi-reversibility method
Recommended article: Identifying a space dependent coefficient in a reaction-diffusion equation
Recommended article: Q4369778
Recommended article: Q5409572
Recommended article: Spacewise coefficient identification in steady and unsteady one-dimensional diffusion problems
Recommended article: Simultaneous identification of two parameters on the reaction diffusion system from discrete measurement data
Recommended article: Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one‐dimensional heat equation
Recommended article: Simultaneous identification of two coefficients in a diffusion equation
Recommended article: Simultaneous reconstruction of space-dependent heat transfer coefficients and initial temperature
description: scientific article; zbMATH DE number 7457751