Displaying similar documents to “A convergent adaptive finite element method with optimal complexity.”

A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations

Martin A. Grepl, Anthony T. Patera (2005)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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In this paper, we extend the reduced-basis methods and associated a posteriori error estimators developed earlier for elliptic partial differential equations to parabolic problems with affine parameter dependence. The essential new ingredient is the presence of time in the formulation and solution of the problem – we shall “simply” treat time as an additional, albeit special, parameter. First, we introduce the reduced-basis recipe – Galerkin projection onto a space W N spanned by solutions...