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

Abstract : Let $\Omega$ represent a two$-$dimensional isotropic elastic body. We consider the problem of determining the body force $F$ whose form $\varphi(t)(f_1(x),f_2(x))$ with $\varphi$ 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 derive the explicitly error estimate. Numerical part is given
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https://hal.archives-ouvertes.fr/hal-00146732
Contributor : Alain Pham Ngoc Dinh <>
Submitted on : Tuesday, July 15, 2008 - 11:26:36 AM
Last modification on : Thursday, August 1, 2019 - 3:18:19 PM
Document(s) archivé(s) le : Tuesday, September 21, 2010 - 4:49:50 PM

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  • HAL Id : hal-00146732, version 2
  • ARXIV : 0705.2107

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Dang Duc Trong, Alain Pham Ngoc Dinh, Phan Thanh Nam, Truong Trung Tuyen. Determination of the body force of a two-dimensional isotropic elastic body. Journal of Computational and Applied Mathematics, Elsevier, 2009, 229, pp.192-207. ⟨hal-00146732v2⟩

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