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On the implementation of a multiscale Hybrid High-Order method

Abstract : A multiscale Hybrid High-Order method has been introduced recently to approximate elliptic problems with oscillatory coefficients. In this work, with a view toward implementation, we describe the general workflow of the method and we present one possible way for accurately approximating the oscillatory basis functions by means of a monoscale Hybrid High-Order method deployed on a fine-scale mesh in each cell of the coarse-scale mesh.
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https://hal.archives-ouvertes.fr/hal-01661925
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Submitted on : Monday, February 12, 2018 - 12:49:03 PM
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Matteo Cicuttin, Alexandre Ern, Simon Lemaire. On the implementation of a multiscale Hybrid High-Order method. ENUMATH 2017, Sep 2017, Bergen, Norway. pp.509-517, ⟨10.1007/978-3-319-96415-7_46⟩. ⟨hal-01661925v3⟩

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