Journal
JOURNAL OF COMPUTATIONAL MATHEMATICS
Volume 27, Issue 5, Pages 573-603Publisher
GLOBAL SCIENCE PRESS
DOI: 10.4208/jcm.2009.27.5.012
Keywords
Edge elements; Local multigrid; Stable multilevel splittings; Subspace correction theory; Regular decompositions of H(curl, Omega); Helmholtz-type decompositions; Local mesh refinement
Categories
Ask authors/readers for more resources
We consider H(curl, Omega)-elliptic variational problems on bounded Lipschitz polyhedra and their finite element Galerkin discretization by means of lowest order edge elements. We assume that the underlying tetrahedral mesh has been created by successive local mesh refinement, either by local uniform refinement with hanging nodes or bisection refinement. In this setting we develop a convergence theory for the the so-called local multigrid correction scheme with hybrid smoothing. We establish that its convergence rate is uniform with respect to the number of refinement steps. The proof relies on corresponding results for local multigrid in a H-1(Omega)-context along with local discrete Helmholtz-type decompositions of the edge element space.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available