A new error bound for reduced basis approximation of parabolic partial differential equations

We consider a space–time variational formulation for linear parabolic partial differential equations. We introduce an associated Petrov–Galerkin truth finite element discretization with favorable discrete inf-sup constant β[subscript δ]:β[subscript δ] is unity for the heat equation; β[subscript δ] g...

Full description

Bibliographic Details
Main Authors: Urban, Karsten, Patera, Anthony T.
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:en_US
Published: Elsevier 2015
Online Access:http://hdl.handle.net/1721.1/99384
https://orcid.org/0000-0002-2631-6463