A numerical algorithm for solving inverse problems of two-dimensional wave equations

DOI10.1016/0021-9991(83)90063-3zbMath0515.65088OpenAlexW2009361873MaRDI QIDQ1052076

J. Blot

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-9991(83)90063-3

zbMATH Keywords

numerical simulationspulse-spectrum techniquetwo-dimensional linear wave equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Inverse problems for PDEs (35R30) Wave equation (35L05) Applications to the sciences (65Z05)

Related Items (12)

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 ⋮ An adaptive observer-based algorithm for solving inverse source problem for the wave equation ⋮ Hierarchical multigrid strategy for efficiency improvement of the GPST inversion algorithm ⋮ Numerical solution of two-dimensional inverse force function in the wave equation with nonlocal boundary conditions ⋮ Methods for solving dynamic inverse problems for hyperbolic equations ⋮ Generalized pulse-spectrum technique for 2-D and 2-phase history matching ⋮ Application of weighted homotopy analysis method to solve an inverse source problem for wave equation ⋮ An iterative numerical algorithm for solving multi-parameter inverse problems of evolutional partial differential 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

Cites Work

• 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
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