The formulation and study of some variational assimilation problems and inverse problems in ionosphere
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Valery I. Agoshkov
Abstract
We formulate a class of inverse problems in the theory of ionosphere and study the methods of its solution based on variational data assimilation for ‘total electronic content’ (TEC). The issues of unique and dense solvability are considered and the solution algorithm for the problem formulated here is proposed.
Funding: The work was supported by the Russian Science Foundation (project No. 17−17–01305).
References
[1] V. I. Agoshkov, Selected Works. Vol. 1. Methods of Optimal Control and Adjoint Equations in Problems of Mathematical Physics. INM RAS, Moscow, 2016 (in Russian).Search in Google Scholar
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Articles in the same Issue
- Frontmatter
- Preface
- The formulation and study of some variational assimilation problems and inverse problems in ionosphere
- New homogenization method for diffusion equations
- A splitting method for free surface flows over partially submerged obstacles
- Numerical algorithm based on implicit finite-difference schemes for analysis of dynamic processes in blocky media
- Semi-Lagrangian difference approximations with different stability requirements
- Adjoint equations in variational data assimilation problems
Articles in the same Issue
- Frontmatter
- Preface
- The formulation and study of some variational assimilation problems and inverse problems in ionosphere
- New homogenization method for diffusion equations
- A splitting method for free surface flows over partially submerged obstacles
- Numerical algorithm based on implicit finite-difference schemes for analysis of dynamic processes in blocky media
- Semi-Lagrangian difference approximations with different stability requirements
- Adjoint equations in variational data assimilation problems
