An inverse coefficient identification problem for the bio-heat equation

DOI10.1080/17415970802082880zbMath1169.65092OpenAlexW2006866404MaRDI QIDQ3612708

Dumitru Trucu, Daniel Lesnic, Derek B. Ingham

Publication date: 10 March 2009

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970802082880

zbMATH Keywords

inverse problemboundary element methodbio-heat equation

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (7)

Application of meshfree methods for solving the inverse one-dimensional Stefan problem ⋮ Blood perfusion estimation in heterogeneous tissue using BEM based algorithm ⋮ Reconstruction of the perfusion coefficient from temperature measurements using the conjugate gradient method ⋮ Space-dependent perfusion coefficient identification in the transient bio-heat equation ⋮ Inverse identification of time-harmonic loads acting on thin plates using approximated Green’s functions ⋮ Ritz–Galerkin method for solving an inverse heat conduction problem with a nonlinear source term via Bernstein multi-scaling functions and cubic B-spline functions ⋮ Inverse solution for parameter estimation of computer simulation by an empirical Bayesian code tuning method

Cites Work

• Boundary information based diagnostics on the thermal states of biological bodies
• Determination of certain parameters in heat conduction problems
• On the Solutions of the Equation of Heat Conduction

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