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arXiv · 2403.15858

Homogeneous multigrid for hybrid discretizations: application to HHO methods

Daniele A. Di Pietro·Zhaonan Dong·Guido Kanschat·Pierre Matalon·Andreas Rupp
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Abstract

We prove the uniform convergence of the geometric multigrid V-cycle for hybrid high-order (HHO) and other discontinuous skeletal methods. Our results generalize previously established results for HDG methods, and our multigrid method uses standard smoothers and local solvers that are bounded, convergent, and consistent. We use a weak version of elliptic regularity in our proofs. Numerical experiments confirm our theoretical results.

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Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat, Pierre Matalon, Andreas Rupp. 2024-04-10. Homogeneous multigrid for hybrid discretizations: application to HHO methods. https://arxiv.org/abs/2403.15858

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