Applied numerical linear algebra
Applied numerical linear algebra
Parallel empirical pseudopotential electronic structure calculations for million atom systems
Journal of Computational Physics
Sequential optimization of integrated climate change models
Mathematics and Computers in Simulation
Approximation algorithms
Computational Differential Equations
Computational Differential Equations
Adaptive Reduced-Order Controllers for a Thermal Flow System Using Proper Orthogonal Decomposition
SIAM Journal on Scientific Computing
Minimizing a Quadratic Over a Sphere
SIAM Journal on Optimization
Genetically Engineered Microelectronic Infrared Filters
EH '99 Proceedings of the 1st NASA/DOD workshop on Evolvable Hardware
A genetic algorithm based inverse band structure method for semiconductor alloys
Journal of Computational Physics
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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.