Reduced-basis output bounds for approximately parametrized elliptic coercive partial differential equations

DOI10.1007/s00791-003-0119-7zbMath1064.65140OpenAlexW2092982592MaRDI QIDQ706549

Christophe Prud'homme, Anthony T. Patera

Publication date: 8 February 2005

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-003-0119-7

zbMATH Keywords

elliptic coercive PDEprediction of linear-functional outputsreduced-basis ouput bounds

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (7)

A Reduced Basis Framework: Application to large scale non-linear multi-physics problems ⋮ High Performance Computing for the Reduced Basis Method. Application to Natural Convection ⋮ Low-rank tensor methods for partial differential equations ⋮ Certified reduced basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height ⋮ Simultaneous empirical interpolation and reduced basis method for non-linear problems ⋮ On the stability of the reduced basis method for Stokes equations in parametrized domains ⋮ Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity

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