Determination of the body force of a two-dimensional isotropic elastic body

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:229

Article

Trong, Dang Duc²  Alain, Pham Ngoc Dinh¹  Nam, Phan Thanh²  Tuyen, Truong Trung³ 

[1] Mapmo UMR 6628, Dept Math, F-45067 Orleans, France

[2] HoChiMinh City Natl Univ, Dept Math, Ho Chi Minh City, Vietnam

[3] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

关键词: Body force;    Elastic body;    Fourier transform;    Ill-posed problem;    Tikhonov's regularization;    Truncated integration;   

DOI  :  10.1016/j.cam.2008.10.053

来源: Elsevier

【 摘 要 】

Let Omega represent a two-dimensional isotropic elastic body. We consider the problem of determining the body force F whose form phi(t)(f(1)(x), f(2)(x)) with phi be given inexactly. The problem is nonlinear and ill-posed. Using the Fourier transform, the methods of Tikhonov's regularization and truncated integration, we construct a regularized solution from the data given inexactly and explicitly derive the error estimate. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

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