Error estimates of proper orthogonal decomposition eigenvectors and Galerkin projection for a general dynamical system arising in fluid models

DOI10.1007/s00211-008-0155-9zbMath1141.76036OpenAlexW1970736911MaRDI QIDQ938277

Rodolfo Bermejo, Pedro Galán del Sastre

Publication date: 18 August 2008

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-008-0155-9

zbMATH Keywords

bifurcation diagramcut-off criterion

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (9)

Data-driven correction reduced order models for the quasi-geostrophic equations: a numerical investigation ⋮ A two-level finite element discretization of the streamfunction formulation of the stationary quasi-geostrophic equations of the ocean ⋮ A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation ⋮ A new approach to proper orthogonal decomposition with difference quotients ⋮ A finite element discretization of the streamfunction formulation of the stationary quasi-geostrophic equations of the Ocean ⋮ Isogeometric analysis and proper orthogonal decomposition for parabolic problems ⋮ Error analysis of an incremental proper orthogonal decomposition algorithm for PDE simulation data ⋮ HDG-POD reduced order model of the heat equation ⋮ On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition

Uses Software

• AUTO

Cites Work

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