Convergence analysis of the Generalized Empirical Interpolation Method
نویسندگان
چکیده
منابع مشابه
Convergence analysis of the Generalized Empirical Interpolation Method
Let F be a compact set of a Banach space X . This paper analyses the “Generalized Empirical Interpolation Method” (GEIM) which, given a function f ∈ F , builds an interpolant Jn[f ] in an n-dimensional subspace Xn ⊂ X with the knowledge of n outputs (σi(f))i=1, where σi ∈ X ′ and X ′ is the dual space of X . The space Xn is built with a greedy algorithm that is adapted to F in the sense that it...
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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 [1] by replacing the evaluation at interpolating points by application of a class of interpolati...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2016
ISSN: 0036-1429,1095-7170
DOI: 10.1137/140978843