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Published in:
2016 | OriginalPaper | Chapter
Construction of RB Spaces by the Greedy Algorithm
Authors : Alfio Quarteroni, Andrea Manzoni, Federico Negri
Published in: Reduced Basis Methods for Partial Differential Equations
Publisher: Springer International Publishing
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We describe another, indeed very popular, approach to construct a reduced basis space in the context of parametrized PDEs: the so-called greedy algorithm. This consists in an iterative sampling from the parameter space fulfilling at each step a suitable optimality criterion that relies on the a posteriori error estimate. We illustrate the main features of this procedure in the algebraic RB framework, and then address its continuous counterpart, discuss some a priori convergence results and verify them using numerical tests.