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

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

2007-05-15

arxiv.org/abs/0705.2107v2

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

Mathematics

Analysis of PDEs

23 pages

Scientific paper

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 derive the explicitly error estimate. Numerical part is given

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