Determination of the body force of a two-dimensional isotropic elastic body |
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Authors: | Dang Duc Trong Pham Ngoc Dinh Alain Phan Thanh Nam Truong Trung Tuyen |
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Institution: | 1. Department of Mathematics, HoChiMinh City National University, Viet Nam;2. Department of Mathematics, Mapmo UMR 6628, BP 67-59, 45067 Orleans cedex, France;3. Department of Mathematics, Indiana University, Rawles Hall, Bloomington, IN 47405, USA |
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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)(f1(x),f2(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 explicitly derive the error estimate. |
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Keywords: | 35L20 35R30 42B10 70F07 74B05 |
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