Identification of discontinuous parameters in flow equations
SIAM Journal on Control and Optimization
Identifying the coefficient of first-order in parabolic equation from final measurement data
Mathematics and Computers in Simulation
An inverse problem of identifying the coefficient of first-order in a degenerate parabolic equation
Journal of Computational and Applied Mathematics
ICIC'11 Proceedings of the 7th international conference on Advanced Intelligent Computing Theories and Applications: with aspects of artificial intelligence
Computers & Mathematics with Applications
Hi-index | 7.29 |
We consider an inverse problem of reconstructing the coefficient q in the parabolic equation ut - Δu+q(x)u=0 from the final measurement u(x, T), where q is in some subset of 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 H1-norm on q. Numerical implementations are also presented.