HOW TO BEST SAMPLE A SOLUTION MANIFOLD

@article{Dahmen2015HOWTB,
  title={HOW TO BEST SAMPLE A SOLUTION MANIFOLD},
  author={Wolfgang Dahmen},
  journal={arXiv: Numerical Analysis},
  year={2015},
  pages={403-435}
}
  • W. Dahmen
  • Published 1 March 2015
  • Mathematics
  • arXiv: Numerical Analysis
Model reduction attempts to guarantee a desired “model quality,” e.g. given in terms of accuracy requirements, with as small a model size as possible. This chapter highlights some recent developments concerning this issue for the so-called Reduced Basis Method (RBM) for models based on parameter-dependent families of PDEs. In this context the key task is to sample the solution manifold at judiciously chosen parameter values usually determined in a greedy fashion. The corresponding space growth… 

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