文章基本信息

标题：SOLVING SOME NON LINEAR PDES INVERSE PROBLEMS USING VARIATIONAL DATA ASSIMILATION
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作者：Ali, A.M. ; Mampassi, B. ; Bisso, S. 等
期刊名称：International Journal of Differential Equations and Applications
印刷版ISSN：1311-2872
出版年度：2014
卷号：13
期号：3
DOI：10.12732/ijdea.v13i3.1736
语种：English
出版社：International Journal of Differential Equations and Applications
摘要：We present a practical technique for calculating adjoint codes arising in variational methods for data assimilation. Our aim is to bring a more to the automatic differentiation in the MatLab langage. It is used to identify the initial condition of the problem governed by a non linear partial differential equation. The cost function gradient's is derived by using the discrete adjoint model. Numerical examples are presented for Kardar-Parisi-Zhang equation using explicit Euler discretisation in time and pseudo-spectral discretisation in the 2D space dimension. The numerical results obtained from the MatLab environment allow us to verify the efficient of this scheme.
关键词：tangent linear model, adjoint model, pseudo-spectral method, optimal control