Getting Started: Linear Diffusion

Matteo Cicuttin; Alexandre Ern; Nicolas Pignet

doi:10.1007/978-3-030-81477-9_1

Getting Started: Linear Diffusion

Matteo Cicuttin, Alexandre Ern, Nicolas Pignet

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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.

Original language	English
Title of host publication	SpringerBriefs in Mathematics
Publisher	Springer Science and Business Media B.V.
Pages	1-20
Number of pages	20
DOIs	https://doi.org/10.1007/978-3-030-81477-9_1
Publication status	Published - 1 Jan 2021

Publication series

Name	SpringerBriefs in Mathematics
ISSN (Print)	2191-8198
ISSN (Electronic)	2191-8201

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10.1007/978-3-030-81477-9_1

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Getting Started: Linear Diffusion

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