Convergence analysis of the Generalized Empirical Interpolation Method
DOI10.1137/140978843zbMath1347.41044arXiv1605.07730OpenAlexW3100328676MaRDI QIDQ2814454
O. Mula, Gabriel Turinici, Yvon Maday
Publication date: 22 June 2016
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.07730
convergence ratesgreedy algorithmdata assimilationoptimal recoveryKolmogorov widthsreduced basisgeneralized empirical interpolation
Error bounds for boundary value problems involving PDEs (65N15) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary linear expressions (41A45)
Related Items (19)
Cites Work
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- The optimal recovery of smooth functions
- Meshless methods: An overview and recent developments
- Data assimilation and sampling in Banach spaces
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- The generalized empirical interpolation method: stability theory on Hilbert spaces with an application to the Stokes equation
- Greedy algorithms for reduced bases in Banach spaces
- A general multipurpose interpolation procedure: The magic points
- A Generalized Empirical Interpolation Method: Application of Reduced Basis Techniques to Data Assimilation
- A parameterized-background data-weak approach to variational data assimilation: formulation, analysis, and application to acoustics
- Convergence Rates for Greedy Algorithms in Reduced Basis Methods
- Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
- Data Assimilation in Reduced Modeling
- Locally Adaptive Greedy Approximations for Anisotropic Parameter Reduced Basis Spaces
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