An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations

DOI10.1007/978-3-642-15337-2_15zbMath1216.65128OpenAlexW4230382629MaRDI QIDQ2998523

Einar M. Rønquist, Jens L. Eftang, Anthony T. Patera

Publication date: 18 May 2011

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-15337-2_15

zbMATH Keywords

Galerkin methodnumerical resultsconvection-diffusion equationsubdivisionreduced basis methodparabolic equationsgreedy

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (4)

A localized reduced-order modeling approach for PDEs with bifurcating solutions ⋮ POD-based reduced order methods for optimal control problems governed by parametric partial differential equation with varying boundary control ⋮ A high-performance parallel implementation of the certified reduced basis method ⋮ Anhpcertified reduced basis method for parametrized parabolic partial differential equations

Cites Work

• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• A Certified Reduced Basis Method for the Fokker–Planck Equation of Dilute Polymeric Fluids: FENE Dumbbells in Extensional Flow
• An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
• A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations
• Reduced basis method for finite volume approximations of parametrized linear evolution equations

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