Implementation of Generalized Finite Element Methods for Homogenization Problems

Authors:
A. W. Rüegg
Affiliations:
Seminar for Applied Mathematics, ETH Zürich, CH 8092 Zürich, Switzerland. arueegg@math.ethz.ch
Venue:
Journal of Scientific Computing
Year:
2002

Citing 2
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Homogenization via p-FEM for problems with microstructure

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A multiscale hp-FEM for 2D photonic crystal bands

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Abstract

The implementation of a generalized Finite Element Method (FEM) for problems with coefficients or geometry that oscillate locally at a small length scale ϵ≪1 is described. Two-scale FE-spaces are combined conformingly with standard FE. Numerical experiments show that the complexity of the algorithm is independent of the micro length scale ϵ.