Unified analysis of discontinuous Galerkin methods for elliptic problems. (English) Zbl 1008.65080

Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella

SIAM J. Numer. Anal. 39, No. 5, 1749-1779 (2002).

MSC:

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

Keywords:

second-order elliptic problems; discontinuous Galerkin methods; interior penalty; comparison of methods; Poisson equation; finite element method; error bounds; stability