Model reduction of semiaffinely parameterized partial differential equations by two-level affine approximation

DOI10.1016/J.CRMA.2010.11.016zbMath1211.35019OpenAlexW2086308884WikidataQ61838717 ScholiaQ61838717MaRDI QIDQ627272

Gianluigi Rozza, Toni Lassila

Publication date: 21 February 2011

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

Full work available at URL: https://infoscience.epfl.ch/record/155005/files/CRAS_Lassila_Rozza_Revised.pdf

zbMATH Keywords

advection-diffusion problemefficient offline-online decomposition

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (1)

Certified reduced basis approximation for parametrized partial differential equations and applications

Uses Software

• rbMIT

Cites Work

• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
• A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants
• A posteriori error estimation and basis adaptivity for reduced-basis approximation of nonaffine-parametrized linear elliptic partial differential equations
• Reduced Basis Approximation for Shape Optimization in Thermal Flows with a Parametrized Polynomial Geometric Map
• Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

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