A Projection Based Multiscale Optimization Method for Eigenvalue Problems

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We present a projection based multiscale optimization method for eigenvalue problems. In multiscale optimization, optimization steps using approximations at a coarse scale alternate with corrections by occasional calculations at a finer scale. We study an example in the context of electronic structure optimization. Theoretical analysis and numerical experiments provide estimates of the expected efficiency and guidelines for parameter selection.

Original languageAmerican English
Pages (from-to)235-245
Number of pages11
JournalJournal of Global Optimization
Issue number2
StatePublished - 2007

NREL Publication Number

  • NREL/JA-530-39289


  • Approximation optimization
  • Galerkin projection
  • Multiscale optimization
  • Reduced-order modeling


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