Interpolation between Sobolev spaces in Lipschitz domains with an application to multigrid theory-Reference-Cited by-同舟云学术

Interpolation between Sobolev spaces in Lipschitz domains with an application to multigrid theory

Published:1995 Issue:212 Volume:64 Page:1359-1365
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Bramble James H.

Abstract

In this paper we describe an interpolation result for the Sobolev spaces H 0 s ( Ω ) H_0^s(\Omega ) where Ω \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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1995-64-212/S0025-5718-1995-1308447-2/S0025-5718-1995-1308447-2.pdf

Reference11 articles.

1. Pitman Research Notes in Mathematics Series;Bramble, James H.,1993

2. New estimates for multilevel algorithms including the 𝑉-cycle;Bramble, James H.;Math. Comp.,1993

3. Parallel multilevel preconditioners;Bramble, James H.;Math. Comp.,1990

4. Some estimates for a weighted 𝐿² projection;Bramble, James H.;Math. Comp.,1991

5. Studies in Mathematics and its Applications, Vol. 4;Ciarlet, Philippe G.,1978

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