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Discontinuous Galerkin approximations for elliptic problems
Author(s) -
Brezzi F.,
Manzini G.,
Marini D.,
Pietra P.,
Russo A.
Publication year - 2000
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/1098-2426(200007)16:4<365::aid-num2>3.0.co;2-y
Subject(s) - mathematics , discontinuous galerkin method , finite element method , galerkin method , partial differential equation , stability (learning theory) , approximations of π , partial derivative , elliptic partial differential equation , mathematical analysis , calculus (dental) , computer science , medicine , dentistry , physics , machine learning , thermodynamics
In this article, we analyze a discontinuous finite element method recently introduced by Bassi and Rebay for the approximation of elliptic problems. Stability and error estimates in various norms are proven. © 2000 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 16: 365–378, 2000