Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

DOI10.1137/S0036142901384162zbMath1008.65080WikidataQ57386754 ScholiaQ57386754MaRDI QIDQ4539392

Douglas N. Arnold, Luisa Donatella Marini, Bernardo Cockburn, Franco Brezzi

Publication date: 8 July 2002

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

stabilitycomparison of methodsfinite element methodsecond-order elliptic problemserror boundsdiscontinuous Galerkin methodsPoisson equationinterior penalty

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)