A Priori Error Bounds for POD-ROMs for Fluids: A Brief Survey

Francesco Ballarin; Traian Iliescu

doi:10.1007/978-3-031-95709-3_19

A Priori Error Bounds for POD-ROMs for Fluids: A Brief Survey

Francesco Ballarin
, Traian Iliescu^*

^*Corresponding author

Virginia Polytechnic Institute and State University

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Galerkin reduced order models (ROMs), e.g., based on proper orthogonal decomposition (POD) or reduced basis methods, have achieved significant success in the numerical simulation of fluid flows. The ROM numerical analysis, however, is still being developed. In this paper, we take a step in this direction and present a survey of a priori error bounds, with a particular focus on POD-based ROMs. Specifically, we outline the main components of ROM a priori error bounds, emphasize their practical importance, and discuss significant contributions to a priori error bounds for ROMs for fluids.

Original language	English
Title of host publication	Emerging Technologies in Computational Sciences for Industry, Sustainability and Innovation
Publisher	Springer
Pages	305-320
Number of pages	16
ISBN (Print)	9783031957086
DOIs	https://doi.org/10.1007/978-3-031-95709-3_19
Publication status	Published - 2025

All Science Journal Classification (ASJC) codes

Modelling and Simulation
General Engineering
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Mathematics

Keywords

POD

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10.1007/978-3-031-95709-3_19

Cite this

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M3 - Chapter

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ER -

A Priori Error Bounds for POD-ROMs for Fluids: A Brief Survey

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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