Error bounds in high-order Sobolev norms for POD expansions of parameterized transient temperatures

DOI10.1016/J.CRMA.2017.03.002zbMath1362.65095OpenAlexW2599795740MaRDI QIDQ524857

Faker Ben Belgacem, Isabel Sánchez Muñoz, Tómas Chacón-Rebollo, Mejdi Aza ıïez, Macarena Gómez-Mármol

Publication date: 26 April 2017

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.2017.03.002

zbMATH Keywords

convergenceproper orthogonal decompositionheat conductionerror bound, numerical test

Mathematics Subject Classification ID

Heat equation (35K05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations ⋮ A streamline derivative POD-ROM for advection-diffusion-reaction equations

Uses Software

• Unnamed Item
• redbKIT

Cites Work

• Unnamed Item
• Error bounds for POD expansions of parameterized transient temperatures
• A prioriconvergence of the Greedy algorithm for the parametrized reduced basis method
• Certified Reduced Basis Methods for Parametrized Partial Differential Equations
• Eigenvalues of Analytic Kernels
• Turbulence, Coherent Structures, Dynamical Systems and Symmetry
• New development in freefem++
• Approximation of high-dimensional parametric PDEs
• Reduced Basis Methods for Partial Differential Equations

This page was built for publication: Error bounds in high-order Sobolev norms for POD expansions of parameterized transient temperatures