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- articleOctober 2008
Convergence of a Semidiscrete Two-Grid Algorithm for the Controllability of the $1-d$ Wave Equation
SIAM Journal on Numerical Analysis (SINUM), Volume 46, Issue 6October 2008, Pages 3233–3263https://doi.org/10.1137/06064915XThe problem of exact controllability of elastic strings has been extensively studied during the last years. We consider the problem of computing numerically the boundary control for a finite-dimensional system obtained by discretizing in space the $1-d$ ...
- articleDecember 1999
A Boundary Functional for the Least-Squares Finite- Element Solution of Neutron Transport Problems
SIAM Journal on Numerical Analysis (SINUM), Volume 37, Issue 2Dec. 1999 to Jan 2000, Pages 556–586https://doi.org/10.1137/S0036142998344706The least-squares finite-element framework for the neutron transport equation is based on the minimization of a least-squares functional applied to the properly scaled neutron transport equation. This approach is extended by incorporating the boundary ...
- articleApril 1998
Least-Squares Finite-Element Solution of the Neutron Transport Equation in Diffusive Regimes
SIAM Journal on Numerical Analysis (SINUM), Volume 35, Issue 2April 1998, Pages 806–835https://doi.org/10.1137/S0036142996299708A systematic solution approach for the neutron transport equation, based on a least-squares finite-element discretization, is presented. This approach includes the theory for the existence and uniqueness of the analytical as well as of the discrete ...
- articleJanuary 1998
Reconstruction with Noisy Data: An Approach via Eigenvalue Optimization
SIAM Journal on Optimization (SIOPT), Volume 8, Issue 11998, Pages 82–104https://doi.org/10.1137/S105262349629856XWe present a nonlinear inverse filtering approach to problems such as power spectrum estimation of stationary time series or deconvolution of a blurred image. The technique is based on eigenvalue optimization and a numerical treatment may therefore be ...