Variational data assimilation for a nonstationary heat conduction problem with nonlinear diffusion

DOI10.1163/1569398053270804zbMath1067.65101OpenAlexW2059877113MaRDI QIDQ4661378

Eugene I. Parmuzin, Victor P. Shutyaev

Publication date: 4 April 2005

Full work available at URL: https://doi.org/10.1163/1569398053270804

zbMATH Keywords

convergenceregularizationerror boundsiterative methodsnonlinear diffusionvariational data assimilationheat exchangeoceannonstationary hat conduction

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Hydrology, hydrography, oceanography (86A05) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23)

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Existence of optimal solution to the problem of finding an initial condition for nonlinear diffusion from integral observations ⋮ On error analysis in variational data assimilation problem for a nonlinear convection–diffusion model

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