This paper seeks to identify the coefficient v in the steady-state diffusion equa-tion -div(v gradu) = f for two dimensional anisotropic medium in a boundeddomain Ω from two known solutions u1, u2 of the correspondin...
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This paper seeks to identify the coefficient v in the steady-state diffusion equa-tion -div(v gradu) = f for two dimensional anisotropic medium in a boundeddomain Ω from two known solutions u1, u2 of the corresponding Dirichlet prob-lems, where f is known, v takes diagonal matrix values, which are given at theboundary of Ω, and may have mild discontinuities. This problem is solved byminimization of an associated functional. We propose an alternating Neubergergradient algorithm, and show the results of numerical experiments.
For the problems exiting in real seismic data processing, such as S/N ratio and resolution, this paper utilizes 2D wavelet transform and multi-resolution analysis to attenuate noise and enhance resolution. Many calcul...
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For the problems exiting in real seismic data processing, such as S/N ratio and resolution, this paper utilizes 2D wavelet transform and multi-resolution analysis to attenuate noise and enhance resolution. Many calculations preseuted in this paper have shown that the data quality after multi-resolution analysising is improved.
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