A Posteriori Error Estimation for Reduced Order Solutions of Parametrized Parabolic Optimal Control Problems

We present a posteriori error estimation and dual procedures that provide rigorous bounds for the error in several quantities of interest: the optimal control, the cost functional,

The essential compo- nents are (i ) (provably) rapidly convergent global reduced-basis approximations – Galerkin projection onto a space W N spanned by solutions of the

This paper introduces an error estimator based on the constitutive relation which provides an upper bound of the global error for parametric linear elastic models computed with

We consider the a posteriori error analysis of fully discrete approximations of parabolic problems based on conforming hp-finite element methods in space and an arbitrary

To obtain such a field, a snapshot-POD is performed for the finite element stress field, which permits to ensure that the numerical complexity of evaluating the reduced order model

A posteriori error estimation and adaptive strategy for PGD model reduction applied to parametrized linear parabolic problems.. Ludovic Chamoin a , Florent Pled b , Pierre-Eric Allier

Finally, when interested in studying complex systems that are excited by stochastic processes that are only known through a set of limited independent realizations, the proposed

PREIM is devised in order to have a guaranteed termination, and in the worst-case scenario, the same number of HF trajectories is computed as in the standard RB-EIM algorithm,