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arXiv · 0705.2107

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

Dang Duc Trong·Alain Pham Ngoc Dinh·Phan Thanh Nam·Truong Trung Tuyen
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Abstract

Let $Ω$ represent a two$-$dimensional isotropic elastic body. We consider the problem of determining the body force $F$ whose form $ϕ(t)(f_1(x),f_2(x))$ with $ϕ$ 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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Dang Duc Trong, Alain Pham Ngoc Dinh, Phan Thanh Nam, Truong Trung Tuyen. 2008-07-15. Determination of the body force of a two-dimensional isotropic elastic body. https://arxiv.org/abs/0705.2107

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