26538 articles – 20365 references  [version française]
 Detailed view Article in peer-reviewed journal
 Journal of Computational and Applied Mathematics 229 (2009) 192-207
 Available versions: v1 (2007-05-15) v2 (2008-07-15)
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 Elastic_2d.ps(15.5 MB)
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 Determination of the body force of a two-dimensional isotropic elastic body
 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
 Keyword(s) : body force – elastic body – Fourier transform – ill\$-posed problem – Tikhonov's regularization – truncated integration
 hal-00146732, version 2 http://hal.archives-ouvertes.fr/hal-00146732 oai:hal.archives-ouvertes.fr:hal-00146732 From: Alain Pham Ngoc Dinh <> Submitted on: Tuesday, 15 July 2008 11:26:36 Updated on: Wednesday, 11 November 2009 21:46:25