A variational approach to reconstruction of an initial tsunami source perturbation

DOI10.1016/j.apnum.2014.04.008zbMath1288.86002OpenAlexW1977823981MaRDI QIDQ2452999

David Khidasheli, Igor Marinin, Alemdar Hasanov, Olga I. Krivorotko, Sergey I. Kabanikhin

Publication date: 6 June 2014

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2014.04.008

zbMATH Keywords

shallow water equationscost functionalconjugate gradient algorithmnumerical calculationsreconstruction of initial tsunami source

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Hyperbolic equations and hyperbolic systems (35L99)

Related Items

Variational method for computing ray trajectories and fronts of tsunami waves generated by a localized source, An algorithm for source reconstruction in nonlinear shallow-water equations, Two dimensional determination of source terms in linear parabolic equation from the final overdetermination, Comparative analysis of methods for regularizing an initial boundary value problem for the Helmholtz equation

Uses Software

• Regularization tools
• UTV

Cites Work

• Modeling of tsunami generation and propagation by a spreading curvilinear seismic faulting in linearized shallow-water wave theory
• Operators and iterative processes of Fejér type. Theory and applications.
• Simultaneous determination of the source terms in a linear hyperbolic problem from the final overdetermination: weak solution approach
• Rank-Deficient and Discrete Ill-Posed Problems
• A numerical method for solving the Dirichlet problem for the wave equation
• Reconstruction of initial Tsunami waveforms by a truncated SVD method
• An optimization method in the Dirichlet problem for the wave equation
• An introduction to the mathematical theory of inverse problems
• A numerical method for backward parabolic problems with non-selfadjoint elliptic operators
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