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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
DOI: https://doi.org/10.1090/S0025-5718-1983-0717693-X
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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DOI: https://doi.org/10.1090/S0025-5718-1983-0717693-X
Article copyright: © Copyright 1983 American Mathematical Society