\(\alpha \) regularization of the POD-Galerkin dynamical systems of the Kuramoto-Sivashinsky equation

DOI10.1016/j.amc.2011.11.083zbMath1246.65180OpenAlexW1978305233MaRDI QIDQ434624

Feriedoun Sabetghadam, Alireza Jafarpour

Publication date: 16 July 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.083

zbMATH Keywords

stabilityproper orthogonal decompositionstiff systemseigenvalue analysisnumerical experimentreduced-order modelingGalerkin models\(\alpha \) regularizationfull chaotic regimeHelmholtz filtering

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for higher-order parabolic equations (35K35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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)

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