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Conference Papers Year : 2013

A priori convergence of the Generalized Empirical Interpolation Method.

Abstract

In an effort to extend the classical lagrangian interpolation tools, new interpolating methods that use general interpolating functions are explored. The Generalized Empirical Interpolation Method (GEIM) belongs to this class of new techniques. It generalizes the plain Empirical Interpolation Method by replacing the evaluation at interpolating points by application of a class of interpolating linear functions. Since its efficiency depends critically on the choice of the interpolating functions (that are chosen by a Greedy selection procedure), the purpose of this paper is therefore to provide a priori convergence rates for the Greedy algorithm that is used to build the GEIM interpolating spaces.
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Dates and versions

hal-00797271 , version 1 (06-03-2013)
hal-00797271 , version 2 (08-03-2013)
hal-00797271 , version 3 (23-11-2013)

Identifiers

  • HAL Id : hal-00797271 , version 3

Cite

Yvon Maday, Olga Mula, Gabriel Turinici. A priori convergence of the Generalized Empirical Interpolation Method.. 10th international conference on Sampling Theory and Applications (SampTA 2013), Jul 2013, Bremen, Germany, Germany. pp.168-171. ⟨hal-00797271v3⟩
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