On the implementation of the multiscale Hybrid High-Order method

Matteo Cicuttin (1, 2) , Alexandre Ern (1, 2) , Simon Lemaire (3)

1 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
2 SERENA - Simulation for the Environment: Reliable and Efficient Numerical Algorithms
3 Département de Mathématiques - EPFL

The 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.

Domaines: Analyse numérique [math.NA]

Matteo Cicuttin, Alexandre Ern, Simon Lemaire. On the implementation of the multiscale Hybrid High-Order method. ENUMATH 2017 - European Conference on Numerical Mathematics and Advanced Applications , Sep 2017, Voss, Norway. pp.1-8. ⟨hal-01661925v2⟩