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Article in peer-reviewed journal

Journal of Computational and Applied Mathematics 229 (2009) 192-207

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v1 (2007-05-15)

v2 (2008-07-15)

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PS Elastic_2d.ps(15.5 MB) PDF Elastic_2d.pdf(3.2 MB)

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

Dang Duc Trong1, Alain Pham Ngoc Dinh2, Phan Thanh Nam1, Truong Trung Tuyen3

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

1:	UNS-HCMC - Mathematics Department
2:	MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
3:	IU - Department of Mathematics

Keyword(s) : body force – elastic body – Fourier transform – ill$-posed problem – Tikhonov's regularization – truncated integration

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http://hal.archives-ouvertes.fr/hal-00146732

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From: Alain Pham Ngoc Dinh <>

Submitted on: Tuesday, 15 July 2008 11:26:36

Updated on: Wednesday, 11 November 2009 21:46:25