On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition

DOI10.1051/m2an/2012016zbMath1276.65069OpenAlexW2034674069WikidataQ61838713 ScholiaQ61838713MaRDI QIDQ2838597

Andrea Manzoni, Gianluigi Rozza, Toni Lassila

Publication date: 10 July 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://www.esaim-m2an.org/10.1051/m2an/2012016/pdf

zbMATH Keywords

algorithm inf-sup condition reduced basis method Poisson problem a posteriori error estimation parametric model reduction empirical interpolation parametrized PDEs successive constraint method stability factors coercivity constant

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (9)

Proper generalized decomposition for parameterized Helmholtz problems in heterogeneous and unbounded domains: application to harbor agitation ⋮ Least-squares Padé approximation of parametric and stochastic Helmholtz maps ⋮ A certified natural-norm successive constraint method for parametric inf-sup lower bounds ⋮ Dual natural-norm a posteriori error estimators for reduced basis approximations to parametrized linear equations ⋮ A nonintrusive reduced basis method applied to aeroacoustic simulations ⋮ Heuristic strategies for the approximation of stability factors in quadratically nonlinear parametrized PDEs ⋮ Convergence analysis of Padé approximations for Helmholtz frequency response problems ⋮ Efficient Reduction of PDEs Defined on Domains with Variable Shape ⋮ Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure

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