Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Analysis of some mixed finite element methods for plane elasticity equations

Authors: J. Pitkäranta and R. Stenberg
Journal: Math. Comp. 41 (1983), 399-423
MSC: Primary 65N15; Secondary 73K25
MathSciNet review: 717693
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Abstract: We analyze some mixed finite element methods, based on rectangular elements, for solving the two-dimensional elasticity equations. We prove error estimates for a method proposed by Taylor and Zienkiewicz and for some new variants of the known equilibrium methods. A numerical example is given demonstrating the performance of the various algorithms considered.

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Article copyright: © Copyright 1983 American Mathematical Society