Identification of the source function for a seawater intrusion problem in unconfined aquifer

DOI10.1007/S11075-020-00925-6zbMath1453.65292OpenAlexW3027253765MaRDI QIDQ780417

D. Kharzeev

Publication date: 15 July 2020

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-020-00925-6

zbMATH Keywords

fixed point theoreminverse source problemnumerical analysisseawater intrusion problem

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Inverse problems in geophysics (86A22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (1)

Mixed formulation of a stationary seawater intrusion problem in confined aquifers

Uses Software

• corner.m

Cites Work

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• corner.m
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• Numerical solution of the inverse problem of determining an unknown source term in a two-dimensional heat equation
• Identification of separable sources for advection-diffusion equations with variable diffusion coefficient from boundary measured data
• Derivation of a Sharp-Diffuse Interfaces Model for Seawater Intrusion in a Free Aquifer. Numerical Simulations
• Numerical solution of the inverse problem of determining an unknown source term in a heat equation

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