Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643330 | Journal of Computational and Applied Mathematics | 2006 | 21 Pages |
Abstract
We consider an inverse problem of reconstructing the coefficient q in the parabolic equation ut-Δu+q(x)u=0ut-Δu+q(x)u=0 from the final measurement u(x,T)u(x,T), where q is in some subset of L1(Ω)L1(Ω). The optimization method, combined with the finite element method, is applied to get the numerical solution under some assumption on q . The existence of minimizer, as well as the convergence of approximate solution in finite-dimensional space, is proven. The new ingredient in this paper is that we do not need uniformly a priori bounds of H1H1-norm on q. Numerical implementations are also presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Qun Chen, Jijun Liu,