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A Hybrid High-Order Method for Highly Oscillatory Elliptic Problems

2018
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Computational Methods in Applied Mathematics
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We devise a Hybrid High-Order (HHO) method for highly oscillatory elliptic problems that is capable of handling general meshes. The method hinges on discrete unknowns that are polynomials attached to the faces and cells of a coarse mesh; those attached to the cells can be eliminated locally using static condensation. The main building ingredient is a reconstruction operator, local to each coarse cell, that maps onto a fine-scale space spanned by oscillatory basis functions. The present HHO

doi:10.1515/cmam-2018-0013
fatcat:xy26wvaxzvglbb73htxuhfbqpe