Dictionary-based model reduction for state estimation

A Nouy, A Pasco - Advances in Computational Mathematics, 2024 - Springer
We consider the problem of state estimation from a few linear measurements, where the
state to recover is an element of the manifold\(\mathcal {M}\) of solutions of a parameter …

Dual natural-norm a posteriori error estimators for reduced basis approximations to parametrized linear equations

P Edel, Y Maday - Mathematical Models and Methods in Applied …, 2023 - World Scientific
In this work, the concept of dual natural-norm for parametrized linear equations is used to
derive residual-based a posteriori error bounds characterized by a 𝒪 (1) stability constant …

Dual natural-norm a posteriori error estimators for parametrized equations

P Edel, Y Maday - 2023 - hal.science
In this work, we introduce the concept of dual natural-norm for parametrized linear equations
and use it to derive residual-based a posteriori error bounds characterized by a O (1) …