Simultaneous approximation in scales of Banach spaces-Reference-Cited by-同舟云学术

Simultaneous approximation in scales of Banach spaces

Published:1978 Issue:144 Volume:32 Page:947-954
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Bramble James H.,Scott Ridgway

Abstract

The problem of verifying optimal approximation simultaneously in different norms in a Banach scale is reduced to verification of optimal approximation in the highest order norm. The basic tool used is the Banach space interpolation method developed by Lions and Peetre. Applications are given to several problems arising in the theory of finite element methods.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1978-32-144/S0025-5718-1978-0501990-5/S0025-5718-1978-0501990-5.pdf

Reference14 articles.

1. The finite element method with penalty;Babuška, Ivo;Math. Comp.,1973

2. Nonuniform error estimates for the finite element method;Babuška, I.;SIAM J. Numer. Anal.,1975

3. Simplified proofs of error estimates for the least squares method for Dirichlet’s problem;Baker, Garth A.;Math. Comp.,1973

4. Rayleigh-Ritz-Galerkin methods for Dirichlet’s problem using subspaces without boundary conditions;Bramble, James H.;Comm. Pure Appl. Math.,1970

5. Least squares methods for 2𝑚th order elliptic boundary-value problems;Bramble, J. H.;Math. Comp.,1971

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