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An analysis of 4D variational data assimilation and its application

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Abstract

In this paper, we give an analysis and a general procedure for 4D variational data assimilation (4D-Var). In functional partial differential equation setting, the adjoint equation method, sensitivity analysis, and multicomponent operator splitting are discussed. Nonlinear optimization methods and convergence analysis are also investigated for 4D-Var.

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Authors and Affiliations

  1. Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN, 55455-0134, USA

    L. Jiang

  2. School of Energy Resources and Mathematics Department, University of Wyoming, 1000 E. University Avenue, Dept. 3032, Laramie, WY, 82071, USA

    C. C. Douglas

  3. Department of Computer Science, Yale University, P.O. Box 8285, New Haven, CT, 06520-8285, USA

    C. C. Douglas

Authors
  1. L. Jiang
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  2. C. C. Douglas
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Correspondence to L. Jiang.

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Jiang, L., Douglas, C.C. An analysis of 4D variational data assimilation and its application. Computing 84, 97–120 (2009). https://doi.org/10.1007/s00607-008-0022-7

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  • DOI: https://doi.org/10.1007/s00607-008-0022-7

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Mathematics Subject Classification (2000)