Reconstruction of Initial Wave Field of a Nonsteady-State Wave Propagation from Limited Measurements at a Specific Spatial Point Based on Stochastic Inversion

S. L. Han and Takeshi Kinoshita

Mathematical Problems in Engineering, 2013, vol. 2013, 1-10

Abstract:

This paper studies an inverse problem that can be used for reconstructing initial wave field of a nonsteady-state wave propagation. The inverse problem is ill posed in the sense that small changes in the input data can greatly affect the solution of the problem. To address the difficulty, the problem is formulated in the form of an inference problem in an appropriately constructed stochastic model. It is shown that the stochastic inverse model enables the initial surface disturbance to be reconstructed, including its confidence intervals given the noisy measurements. The reconstruction procedure is illustrated through applications to some simulated data for two- and three-dimensional problem.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:286247

DOI: 10.1155/2013/286247

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