A Petrov-Galerkin reduced basis approximation of the Stokes equation in parameterized geometries

DOI10.1016/j.crma.2015.03.019zbMath1320.76057OpenAlexW2154931460MaRDI QIDQ2352227

Ondrej Budáč, Assyr Abdulle

Publication date: 30 June 2015

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.2015.03.019

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

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Cites Work

• A natural-norm successive constraint method for inf-sup lower bounds
• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• On the stability of the reduced basis method for Stokes equations in parametrized domains
• Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
• A reduced basis element method for the steady Stokes problem
• Certified Reduced Basis Methods for Parametrized Saddle Point Problems
• Double greedy algorithms: Reduced basis methods for transport dominated problems

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