Determination of space‐dependent coefficients from temperature measurements using the conjugate gradient method

DOI10.1002/NUM.22262zbMath1407.80012OpenAlexW2788788907WikidataQ59884139 ScholiaQ59884139MaRDI QIDQ4623382

Daniel Lesnic, Kai Cao

Publication date: 15 February 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22262

zbMATH Keywords

inverse problemconjugate gradient methodthermal conductivityperfusion coefficient

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Sensitivity, stability, parametric optimization (90C31) System identification (93B30) Regularity of solutions in optimal control (49N60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Physiological flow (92C35) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23) PDEs in connection with mechanics of deformable solids (35Q74) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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