Multiscale Partition of Unity

@inproceedings{Peterseim2015MultiscalePO,
  title={Multiscale Partition of Unity},
  author={Daniel Peterseim and Patrick Henning and Philipp Morgenstern},
  year={2015}
}
We introduce a new Partition of Unity Method for the numerical homogenization of elliptic partial differential equations with arbitrarily rough coefficients. We do not restrict to a particular ansatz space or the existence of a finite element mesh. The method modifies a given partition of unity such that optimal convergence is achieved independent of oscillation or discontinuities of the diffusion coefficient. The modification is based on an orthogonal decomposition of the solution space while… CONTINUE READING

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