How To Best Sample a Solution Manifold?

DOI10.1007/978-3-319-19749-4_11zbMath1336.65188arXiv1503.00307OpenAlexW1510783914MaRDI QIDQ2799929

Wolfgang Dahmen

Publication date: 14 April 2016

Published in: Sampling Theory, a Renaissance (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.00307

zbMATH Keywords

convergencenumerical exampleGalerkin methodsingular perturbationstabilizationconvection-diffusion problemsolution manifoldmodel reductionreduced basis methodKolmogorov \(n\)-widthweakd greedy algorithm

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

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