Title
Multigrid for discrete differential forms on sparse grids
Abstract
Discrete differential forms are a generalization of the common H1 (Ω)-conforming Lagrangian elements. For the latter, Galerkin schemes based on sparse grids are well known, and so are fast iterative multilevel solvers for the discrete Galerkin equations. We extend both the sparse grid idea and the design of multilevel methods to arbitrary discrete differential forms. The focus of this presentation will be on issues of efficient implementation and numerical studies of convergence of multigrid solvers.
Year
DOI
Venue
2003
10.1007/s00607-003-0008-4
Computing
Keywords
DocType
Volume
65N30,41A10,58A15,finite elements,Whitney forms,edge elements,sparse grids,multilevel methods,multigrid
Journal
71
Issue
ISSN
Citations 
1
0010-485X
0
PageRank 
References 
Authors
0.34
7
2
Name
Order
Citations
PageRank
V. Gradinaru183.01
R. Hiptmair219938.97