An iterative method for the inversion of the two-dimensional wave equation with a potential

DOI10.1006/JCPH.1998.9996zbMath0920.65082OpenAlexW2063561594MaRDI QIDQ1285844

Yu Zhang, Guanquan Zhang

Publication date: 2 May 1999

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.9996

zbMATH Keywords

iterative algorithmwave equationnumerical experimentsill-posed problemwave splittingnonlinear inversion problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Applications to the sciences (65Z05) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Cites Work

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• Inverse boundary value problems and a theorem of Gel'fand and Levitan
• The Gelfand-Levitan, the Marchenko, and the Gopinath-Sondhi integral equations of inverse scattering theory, regarded in the context of inverse impulse-response problems
• Exact and approximate solutions of the Helmholtz, Weyl composition equation in scalar wave propagation
• On an inverse problem for 1-dimensional wave equation
• The One-Dimensional Inverse Problem of Reflection Seismology
• The Calculations of an Inverse Potential Problem
• Layer-stripping solutions of multidimensional inverse scattering problems
• Factorization of the wave equation in higher dimensions
• Numerical performance of layer stripping algorithms for two-dimensional inverse scattering problems
• Radiation boundary conditions for acoustic and elastic wave calculations
• Uniqueness and stability in multi-dimensional inverse problems
• Potential inversion of the two-dimensional plasma wave equation

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