Identification of an optimal derivatives approximation by variational data assimilation. (English) Zbl 1375.65115
Summary: Variational data assimilation technique applied to identification of optimal approximations of derivatives near boundary is discussed in frames of the one-dimensional wave equation. Simplicity of the equation and of its numerical scheme allows us to discuss in detail as the development of the adjoint model and assimilation results. It is shown what kind of errors can be corrected by this control and how these errors are corrected. This study is carried out in view of using this control to identify optimal numerical schemes in coastal regions of ocean models.
MSC:
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 86-08 | Computational methods for problems pertaining to geophysics |
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