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Implementation of Generalized Finite Element Methods for Homogenization Problems

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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.

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Rüegg, A.W. Implementation of Generalized Finite Element Methods for Homogenization Problems. Journal of Scientific Computing 17, 671–681 (2002). https://doi.org/10.1023/A:1015139117673

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  • DOI: https://doi.org/10.1023/A:1015139117673

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