Efficiency improvement of GPST inversion algorithm

DOI10.1016/0021-9991(87)90088-XzbMath0634.65119OpenAlexW2011023847MaRDI QIDQ1097015

B. George

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90088-x

zbMATH Keywords

computational complexitynumerical exampleNewton-like methodTikhonov regularization methodgeneralized pulse-spectrum technique inversion algorithmmultiparameter inverse problemsystem of discretized Fredholm integral equations of the first kind

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Inverse problems for PDEs (35R30) Integral representations of solutions to PDEs (35C15) Applications to the sciences (65Z05) Systems of nonsingular linear integral equations (45F05)

Related Items (4)

A widely convergent generalized pulse-spectrum technique for the inversion of two-dimensional acoustic wave equation ⋮ Parallelism by hierarchy of GPST inversion algorithm for elastic wave equation ⋮ Hierarchical multigrid strategy for efficiency improvement of the GPST inversion algorithm ⋮ Generalized pulse-spectrum technique for 2-D and 2-phase history matching

Cites Work

• An iterative numerical algorithm for solving multi-parameter inverse problems of evolutional partial differential equations
• A numerical algorithm for solving inverse problems of two-dimensional wave equations
• 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
• Inverse problems for elastic plates with variable flexural rigidity
• 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 of Two-Dimensional Diffusion Equations
• A Generalized Pulse-Spectrum Technique (GPST) for Determining Time-Dependent Coefficients of One-Dimensional Diffusion Equations
• An iterative algorithm for solving inverse problems in structural dynamics

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