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math.OC2018
Statistical Treatment of Inverse Problems Constrained by Differential Equations-Based Models with Stochastic Terms
Emil M. Constantinescu, Noemi Petra, Julie Bessac +1
This paper introduces a statistical treatment of inverse problems constrained by models with stochastic terms. The solution of the forward problem is given by a distribution repres…
math.OC2018
A scalable matrix-free spectral element approach for unsteady PDE constrained optimization using PETSc/TAO
Oana Marin, Emil Constantinescu, Barry Smith
We provide a new approach for the efficient matrix-free application of the transpose of the Jacobian for the spectral element method for the adjoint based solution of partial diffe…