# Determination of the body force of a two-dimensional isotropic elastic body - Mathematics > Analysis of PDEs

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Abstract: Let $\Omega$ represent a two$-$dimensional isotropic elastic body. Weconsider 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 isnonlinear and ill-posed. Using the Fourier transform, the methods of Tikhonov-sregularization and truncated integration, we construct a regularized solutionfrom the data given inexactly and derive the explicitly error estimate.Numerical part is given

Autor: Dang Duc Trong (UNS-HCMC), Alain Pham Ngoc Dinh (MAPMO), Phan Thanh Nam (UNS-HCMC), Truong Trung Tuyen (IU)

Fuente: https://arxiv.org/