Multigrid analysis of finite element methods with numerical integration
Journal Article
·
· Mathematics of Computation; (United States)
The author analyzes multigrid convergence rates when elliptic boundary value problems are discretized using finite element methods with numerical integration. The resulting discrete problem does not fall into the standard variational framework for analyzing multigrid methods since the bilinear forms on different grid levels are not suitably related to each other. He first discusses extensions of the standard variational multigrid theory and then apply these results to the case of numerical quadrature. In particular, it is shown that the V - cycle algorithm has a convergence rate independent of grid size under suitable conditions.
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 5430999
- Journal Information:
- Mathematics of Computation; (United States), Journal Name: Mathematics of Computation; (United States) Vol. 56:194; ISSN 0025-5718; ISSN MCMPA
- Country of Publication:
- United States
- Language:
- English
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