Seminar by Volker John

Speaker

Volker John (Weierstrass Institute for Applied Analysis and Stochastics & Freie Universität Berlin)

Title

A SUPG-stabilized POD-ROM method for convection-diffusion-reaction problems

Date

• February 28, 2023 16:00 CET+0100 (Europe/Rome)

• February 28, 2023 10:00 EST-0500 (US/Eastern)

• February 28, 2023 09:00 CST-0600 (US/Central)

• February 28, 2023 07:00 PST-0800 (US/Pacific)

Abstract

The first part of the talk is devoted to recent developments of the construction and numerical analysis of finite element methods that satisfy discrete maximum principles (DMPs) for convection-diffusion-reaction problems. It turns out that many of the methods that satisfy DMPs and compute at the same time accurate solutions have been proposed only quite recently.

In the second part of the talk a POD-ROM method for convection-diffusion-reaction problems that is augmented with a SUPG stabilization is presented. An a priori error analysis which leads to robust estimates is discussed and an approach for a posteriori error estimation is sketched. Numerical examples illustrate the performance of the SUPG-ROM method.

Recording

Watch the recording on our YouTube channel.