Archivio Istituzionale della RicercaThe objective of this chapter is to gently introduce the hybrid high-order (HHO) method on one of the simplest model problems: the Poisson problem with homogeneous Dirichlet boundary conditions. Our goal is to present the key ideas underlying the devising of the method and state its main properties (most of them without proof). The keywords of this chapter are cell and face unknowns, local reconstruction and stabilization operators, elementwise assembly, static condensation, energy minimization, and equilibrated fluxes.
Getting Started: Linear Diffusion / Cicuttin, M.; Ern, A.; Pignet, N. (SPRINGERBRIEFS IN MATHEMATICS). - In: Hybrid High-Order Methods. A Primer with Applications to Solid Mechanics[s.l] : Springer Science and Business Media, 2021. - ISBN 978-3-030-81476-2. - pp. 1-20 [10.1007/978-3-030-81477-9_1]
Getting Started: Linear Diffusion
Cicuttin M.;
2021
Abstract
The objective of this chapter is to gently introduce the hybrid high-order (HHO) method on one of the simplest model problems: the Poisson problem with homogeneous Dirichlet boundary conditions. Our goal is to present the key ideas underlying the devising of the method and state its main properties (most of them without proof). The keywords of this chapter are cell and face unknowns, local reconstruction and stabilization operators, elementwise assembly, static condensation, energy minimization, and equilibrated fluxes.
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https://hdl.handle.net/11583/2979189