Residual-driven online generalized multiscale finite element methods

@article{Chung2015ResidualdrivenOG,
  title={Residual-driven online generalized multiscale finite element methods},
  author={Eric T. Chung and Yalchin R. Efendiev and Wing Tat Leung},
  journal={J. Comput. Phys.},
  year={2015},
  volume={302},
  pages={176-190}
}
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An online generalized multiscale discontinuous Galerkin method (GMsDGM) for flows in heterogeneous media
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An online local adaptivity technique for local multiscale model reduction problems based on local residuals and some optimally estimates is developed and it is shown that the iterative procedure is convergent with a rate independent of physical scales if the initial space is chosen carefully.
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