An iterative numerical algorithm for solving multi-parameter inverse problems of evolutional partial differential equations

DOI10.1016/0021-9991(84)90069-XzbMath0531.65068OpenAlexW2079325879MaRDI QIDQ788475

N. E. Zubov

Publication date: 1984

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(84)90069-x

zbMATH Keywords

wave equationsnumerical simulationsdiffusion equationsmulti-parameter inverse problemspulse-spectrum technique

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Wave equation (35L05) Applications to the sciences (65Z05)

Related Items (9)

A widely convergent generalized pulse-spectrum technique for the inversion of two-dimensional acoustic wave equation ⋮ Efficiency improvement of GPST inversion algorithm ⋮ A widely convergent generalized pulse-spectrum technique for the coefficient inverse problem of differential equations ⋮ Efficient algorithm for solving inverse source problems of a nonlinear diffusion equation in microwave heating ⋮ Identification of distributed parameter systems with pointwise constraints on the parameters ⋮ Hierarchical multigrid strategy for efficiency improvement of the GPST inversion algorithm ⋮ Generalized pulse-spectrum technique for 2-D and 2-phase history matching ⋮ A modified pulse-spectrum technique for solving inverse problems of two- dimensional elastic wave equation ⋮ An iterative method for simultaneous determination of bulk and shear moduli and density variations

Cites Work

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• A numerical algorithm for solving inverse problems of two-dimensional wave equations
• A numerical algorithm for remote sensing of thermal conductivity
• A numerical algorithm for remote sensing of density profiles of a simple ocean model by acoustic pulses
• An Iterative Method for Solving Inverse Problems of a Nonlinear Wave Equation
• An iterative algorithm for solving inverse problems in structural dynamics

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