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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I. Berre, K. Kumar, J. M. Nordbotten, I. S. Pop, F. A. Radu Eds. ENUMATH 2017 - European Conference on Numerical Mathematics and Advanced Applications, Sep 2017, Voss, Norway. Springer, Cham, Lecture Notes in Computational Science and Engineering, 126, pp.509-517, 2019, Numerical Mathematics and Advanced Applications - ENUMATH 2017. 〈10.1007/978-3-319-96415-7_46〉
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Soumis le : lundi 12 février 2018 - 12:49:03
Dernière modification le : jeudi 7 février 2019 - 16:14:31

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Matteo Cicuttin, Alexandre Ern, Simon Lemaire. On the implementation of a multiscale Hybrid High-Order method. I. Berre, K. Kumar, J. M. Nordbotten, I. S. Pop, F. A. Radu Eds. ENUMATH 2017 - European Conference on Numerical Mathematics and Advanced Applications, Sep 2017, Voss, Norway. Springer, Cham, Lecture Notes in Computational Science and Engineering, 126, pp.509-517, 2019, Numerical Mathematics and Advanced Applications - ENUMATH 2017. 〈10.1007/978-3-319-96415-7_46〉. 〈hal-01661925v3〉

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