An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

DOI10.1016/j.crma.2016.10.008zbMath1353.65093OpenAlexW2550701199WikidataQ56995765 ScholiaQ56995765MaRDI QIDQ344330

Yvon Maday, Andrea Manzoni, Alfio M. Quarteroni

Publication date: 22 November 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.10.008

zbMATH Keywords

numerical resultsstabilizationfinite elementadvection-diffusion problemreduced basis approximationsspectral filtering techniquespectral vanishing viscosity method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) First-order hyperbolic equations (35L02)

Related Items (7)

Fast model updating coupling Bayesian inference and PGD model reduction ⋮ A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection ⋮ Stabilized Weighted Reduced Basis Methods for Parametrized Advection Dominated Problems with Random Inputs ⋮ A streamline derivative POD-ROM for advection-diffusion-reaction equations ⋮ Reduced order modelling for a rotor-stator cavity using proper orthogonal decomposition ⋮ Model Order Reduction for Problems with Large Convection Effects ⋮ Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces

Uses Software

• redbKIT

Cites Work

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