An adaptive finite element method for linear elliptic problems-Reference-Cited by-同舟云学术

An adaptive finite element method for linear elliptic problems

Published:1988 Issue:182 Volume:50 Page:361-383
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Eriksson Kenneth,Johnson Claes

Abstract

We propose an adaptive finite element method for linear elliptic problems based on an optimal maximum norm error estimate. The algorithm produces a sequence of successively refined meshes with a final mesh on which a given error tolerance is satisfied. In each step the refinement to be made is determined by locally estimating the size of certain derivatives of the exact solution through computed finite element solutions. We analyze and justify the algorithm in a model case.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1988-50-182/S0025-5718-1988-0929542-X/S0025-5718-1988-0929542-X.pdf

Reference19 articles.

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2. Feedback, adaptivity, and a posteriori estimates in finite elements: aims, theory, and experience;Babuška, I.,1986

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4. I. Babuška & A. K. Noor, Quality Assessment and Control of Finite Element Solutions, Technical Note BN-1049, Univ. of Maryland, 1986.

5. R. E. Bank, PLTMG Users’ Guide, June, 1981 version, Technical Report, Department of Mathematics, University of California at San Diego, La Jolla.

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