Mixed finite-element approximations of linear boundary-value problems-Reference-Cited by-同舟云学术

Mixed finite-element approximations of linear boundary-value problems

Published:1975 Issue:3 Volume:33 Page:255-280
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Reddy J. N.,Oden J. T.

Abstract

A theory of mixed finite-element/Galerkin approximations of a class of linear boundary-value problems of the type T ∗ T u + k u + f = 0 T*Tu + ku + f = 0 is presented, in which appropriate notions of consistency, stability, and convergence are derived. Some error estimates are given and the results of a number of numerical experiments are discussed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1975-33-03/S0033-569X-1975-0451782-0/S0033-569X-1975-0451782-0.pdf

Reference31 articles.

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3. W. Prager, Variational principles for elastic plates with relaxed continuity requirements, Int. J. Solids Structures 4, 837–844 (1968)

4. W. Visser, A refined mixed type plate bending element, AIAA J. 7, 1801–1803 (1969)

5. R. S. Dunham and K. S. Pister, A finite element application of the Hellinger-Resissner variational theorem, in Proceedings of the Conference on Matrix Methods in Structural Mechanics, Wright-Patterson AFB, Ohio, AFFDL-TR68-150, pp. 471–487, 1968

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