Seminar by Enrique Delgado Ávila

Speaker

Enrique Delgado Ávila (Universidad de Sevilla)

Title

A posteriori error estimators for the Greedy algorithm in Reduced Basis Method

Date

• April 02, 2024 16:00 CEST+0200 (Europe/Rome)

• April 02, 2024 10:00 EDT-0400 (US/Eastern)

• April 02, 2024 09:00 CDT-0500 (US/Central)

• April 02, 2024 07:00 PDT-0700 (US/Pacific)

Abstract

In this talk we adress different approaches for “a posteriori” error estimators for the Greedy algorithm. We deal with LES models for which we construct a posteriori error estimators by two different approaches. On one hand, we consider the classical Brezzi-Rappaz-Raviart theory for non-linear operators in order to construct the a posteriori error estimator. On the other hand, we consider a novel approach, in which the a posteriori error estimator is based on the Kolmogorov energy cascade theory. We present numerical results for different test cases where we show the reliability of both kind of estimators.

Recording

Watch the recording on our YouTube channel.