Interpolation between Sobolev spaces in Lipschitz domains with an application to multigrid theory
Journal Article
·
· Mathematics of Computation
- Cornell Univ., Ithaca, NY (United States)
In this paper the author describes an interpolation result for the Sobolev spaces H{sub 0}{sup S}({Omega}) where {Omega} is a bounded domain with a Lipschitz boundary. This result is applied to derive discrete norm estimates related to multilevel preconditioners and multigrid methods in the finite element method. The estimates are valid for operators of order 2m with Dirichlet boundary conditions. 11 refs.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 254556
- Journal Information:
- Mathematics of Computation, Vol. 64, Issue 212; Other Information: PBD: Oct 1995
- Country of Publication:
- United States
- Language:
- English
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