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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24317

Title: Analytical study and numerical experiments for Laplace equation with overspecified boundary conditions
Authors: J.T. Chen;K.H. Chen
Contributors: NTOU:Department of Harbor and River Engineering
Date: 1998-09
Issue Date: 2011-10-20T08:11:20Z
Publisher: Applied Mathematical Modelling
Abstract: Abstract:In this paper, the window function, e(-alpha k2), is applied to regularize the divergent problem which occurs in the Laplace equation with overspecified boundary conditions in an infinite strip region. To deal with this ill-posed problem, the corner of the L-curve is chosen as the compromise point to determine the optimal alpha of the Gaussian window, e(-alpha k2), so that the high wave-number (k) content can be suppressed instead of engineering judgement using the concept of a cutoff wave-number. From the examples shown, it is found that a reasonable solution of the unknown boundary potential can be reconstructed, and that both high wave-number content and divergent results can be avoided by using the proposed regularization technique. (C) 1998 Elsevier Science Inc. All rights reserved.
Relation: 22(9), pp.703-725
URI: http://ntour.ntou.edu.tw/handle/987654321/24317
Appears in Collections:[河海工程學系] 期刊論文

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