4 papers
Optimal Control of Parameterized Maxwell's System: Reduced Basis, Convergence Analysis, and A Posteriori Error Estimates
Harbir Antil, Tran Nhan Tam Quyen
We consider control constrained optimal control problems governed by parameterized stationary Maxwell's system with the Gauss's law. The parameters enter through dielectric, magnet…
Convergence analysis of a Crank-Nicolson Galerkin method for an inverse source problem for parabolic equations with boundary observations
Dinh Nho Hao, Tran Nhan Tam Quyen, Nguyen Thanh Son
This work is devoted to an inverse problem of identifying a source term depending on both spatial and time variables in a parabolic equation from single Cauchy data on a part of th…
Variational method for multiple parameter identification in elliptic PDEs
Tran Nhan Tam Quyen
In the present paper we investigate the inverse problem of identifying simultaneously the diffusion matrix, source term and boundary condition as well as the state in the Neumann b…
A regularization approach for an inverse source problem in elliptic systems from single Cauchy data
Michael Hinze, Bernd Hofmann, Tran Nhan Tam Quyen
In this paper we investigate the problem of identifying the source term in an elliptic system from a single noisy measurement couple of the Neumann and Dirichlet data. A variationa…