Improved error estimates for Hybrid High-Order discretizations of Leray–Lions problems

We derive novel error estimates for Hybrid High-Order (HHO) discretizations of Leray–Lions problems set in W 1 , p with p ∈ ( 1 , 2 ] . Specifically, we prove that, depending on the degeneracy of the problem, the convergence rate may vary between ( k + 1 ) ( p - 1 ) and ( k + 1 ) , with k denoting t...

Full description

Saved in:
Bibliographic Details
Published inCalcolo Vol. 58; no. 2
Main Authors Pietro, Daniele A. Di, Droniou, Jérôme, Harnist, André
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2021
Springer Nature B.V
Springer Verlag
Subjects
Errors
Estimates
Mathematics
Mathematics and Statistics
Numerical Analysis
Theory of Computation
65N12
Hybrid High-Order methods
Degenerate Leray–Lions problems
65N08
65N30
Regime-dependent error estimates
degenerate Leray-Lions problems
regime-dependent error estimates
Online AccessGet full text

Cover

More Information
Summary:We derive novel error estimates for Hybrid High-Order (HHO) discretizations of Leray–Lions problems set in W 1 , p with p ∈ ( 1 , 2 ] . Specifically, we prove that, depending on the degeneracy of the problem, the convergence rate may vary between ( k + 1 ) ( p - 1 ) and ( k + 1 ) , with k denoting the degree of the HHO approximation. These regime-dependent error estimates are illustrated by a complete panel of numerical experiments.
ISSN:0008-0624
1126-5434
DOI:10.1007/s10092-021-00410-z