A posteriori error estimation for reduced-basis approximation of parametrized elliptic coercive partial differential equations : “convex inverse” bound conditioners

Schwarz, Eriopho r um angustifolium Honck., Gentiana bavarica L., Juncus articula- tus L., Juncus triglumis L., Saxdraga aizoides L., Saxifraga stellaris L.,

Keywords: second order wave equation, reduced basis method, dual weighted residual method, goal-oriented error estimation, dual problem,

In Section 3 we describe, for coercive symmetric problems and ‘‘compliant’’ outputs, the reduced-basis approximation; and in Section 4 we present the as- sociated a posteriori

We presented a reduced-order approach to the 4D-Var problem based on the reduced basis method and proposed rigorous and effi- ciently evaluable a posteriori error bounds for the

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,

2 INRIA Rocquencourt, MICMAC Team-Project, Domaine de Voluceau, B.P.. In this stage, a certification of the approximation is possible by means of an a posteriori error bound.

In this way, we can generalize the available a posteriori error bounds for NS equations as follows: (i) by considering the global NS operator ˜ A(·, ·; μ) (including also 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