Two-level Fourier analysis of a multigrid approach for discontinuous Galerkin discretization. (English) Zbl 1048.65108

Hemker, P. W.; Hoffmann, W.; van Raalte, M. H.

SIAM J. Sci. Comput. 25, No. 3, 1018-1041 (2003).

MSC:

65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N55	Multigrid methods; domain decomposition for boundary value problems involving PDEs
35J25	Boundary value problems for second-order elliptic equations
65F10	Iterative numerical methods for linear systems
65N12	Stability and convergence of numerical methods for boundary value problems involving PDEs
65N15	Error bounds for boundary value problems involving PDEs

Keywords:

discontinuous Galerkin method; multigrid iteration; two-level Fourier analysis; pointwise block-relaxation; numerical examples; comparison of methods; linear second order elliptic equation; convergence; smoothing procedures

Citations:

Zbl 0924.76051